Plato’s Divided Line: The Two Faces of Thought and Thinking

The Division Between Love (Eros) and Thinking (Logos)

The most popular site on this blog is Plato’s allegory of the Cave. I am somewhat puzzled by this as the Allegory presents many difficulties as far as its understanding is concerned when it comes to relating it to the ethics and morals required by the Core of the Theory of Knowledge course. The Allegory cannot be properly understood without some knowledge of the Divided Line from Bk VI of Republic .(506c – 511e) Also, one requires some knowledge of Plato’s theory of the tripartite soul that he believed is the essence of human beings. For Plato, the human being was the zoon logon echon, the living being that perdures in logos which is language and number. Later, the Latins would identify the essence of human being as the animale rationale, the “rational animal”, the animal the perdures in “reason”. We shall try to come to some understanding of these definitions here and to show some of the consequences of our choosing the Latinate definition of the essence of human beings.

In the illustration above, the human soul’s proper “place” or “site” is at the centre of a sphere that is the being of Time and Space and the created things that are within Time and Space. The sphere itself is constantly in motion. The sphere is what Plato called “the moving image of eternity”, the sempiternal nature of created things.

The realm of “E” is the realm of the Good i.e. the Eternity that encloses or embraces the entirety of the cosmos or creation. The Good begets the Ideas which are in the realm designated by section “D”. The ideas can be approached through the Mind, the Nous, the Spirit, the Intelligence. The Ideas in turn beget the Eidei, the outward appearances of the things that “shine” and which we perceive through the sense of sight because of the “light” that acts as a metaxu or mean between our “eye”, the Sun, and the things that are. This occurs in section “C”. This light, as metaxu, is Eros; the ‘eye’ itself must have a quality that is ‘sun-like’ for there to be a possibility of a commensurable relation between it and the things beyond it.

From this perception occur our axioms and the principles that establish our understanding of the things that are in the world and those beyond it, what the philosopher Kant called the “transcendental imagination”. This perceiving occurs in the “C” section of the Divided Line and establishes our understanding of the things that are. It is the source of our trust, faith and belief in our interpretation of the reality of the things that are that they are as we say and think they are. This we understand as the true. Science, for example, is the theory of the real. “Theory” is a manner or mode of “seeing” and derives from the same root as “theatre”, “the seeing place”. The “theory” is a product or outcome of the “site” or the place from which the seeing is done. Section “C” is equal to section “B” in the Divided Line.

Section “B” is physis or the Cosmos, what we understand as Nature. It is the Cave in Plato’s allegory of the Cave. The Cave is “more real” than the shadows that are “thrown forward” or projected onto the walls of the cave by the artisans and technicians. Even the shadows require light to be produced, but this light is not directly from the Sun. It is a derived or borrowed light (such as that of the Moon, although the light in the cave is due to the fire which has been ignited, presumably, by the artisans and technicians). Fire is a product or derivative of the Sun. In the Cave, there remains a dim presence of the Sun itself but it is ineffectual.

Section “B” = Section “C” in Socrates’ discussion of the Divided Line. It is thought which gives us the things (the techne of the artisans and technicians, “the mind that makes the object” as Kant’s transcendental imagination would have it) and there are no things without thought, whether the thing be natural or artificial or as artefact, as the “work” we produce. The thinking that occurs in Section “C” is that representational thinking that is brought forward or ‘thrown forward’ from Section “A”, the Eikasia or Imagination.

Techne or “know how”, “knowing one’s way about or within something” is but one manner of thinking that the imagination produces. The thinking of the poets is also one manner of thinking that arises from the imagination. Poetic thinking is distinct from the techne of the technicians and still further a different type of thinking than that of the philosophers. This technological thinking of the artisans and technicians occurs on the outer circumference of the sphere, in the realm of the imagination. It is the farthest thinking from that of the philosophers.

Poetic thinking and techne are the diagonals given in the illustration of the sphere provided here. Both proceed from the “I” in the centre of the sphere which reaches out and “projects” to the circumference of the sphere. The circumference of the sphere is the ‘surface’ phenomenon of things, the deception of their ‘outward’ beauty. It is the thymoeidic part of the soul that is at the root of this projection. The thymoeidic part of the soul deals mostly with will, emotions and feelings, what the Greeks understood as pathos. Our projections are given back to us in the form of a ‘lighted up’ of things. It is eros that does the “lighting up”.

If we look at the statement of Aeschylus that “In war, truth is the first casualty”, we can say that war is evil for all evil requires deception, subterfuge, the hiding from the light. This deception is to be found on the surfaces of phenomenon. That which is thrown forward by the ‘self’ at the centre of the sphere to the circumference through the thymoeides is an ‘irrational number’ in mathematics, what we call pi (the ratio between a circle’s diameter and its circumference), since the two diagonals thrown forward comprise the diameter of the sphere. The movement of the soul outward toward the circumference is a widening gyre from out of the depths of the centre to a shallowness or dispersal of being, or a “shadowiness” of being on the circumference. In this shallowness, the soul is more easily susceptible to the influences of evil and to being led by deception and machination. The soul is furthest away from self-knowledge when it is mired in the outer influences of the sphere.

Jean Paul Sartre

In Preface II to this writing on “The Prince of the Two Faces”, we noted the statement of the French philosopher J. P. Sartre that “Hell is other people” and said that it illustrated the gap between love or eros and intelligence (nous, spirit, mind) as well as “thinking” or “thought” and how these are presented through the logos in the modern age when thinking and thought are understood as “information”. How love and intelligence (nous, spirit, mind) have come to be understood and how they relate to logos and eros is what must be undertaken at this time. Of course, these writings are simply impertinent precis of what are some of the most complex and troubling ideas present in our being-in-the-world today.

Plato’s discussion of the Divided Line occurs in Bk VI of his Republic. In Bk VI, the emphasis is on the relation between the just and the unjust life and the way-of-being that is “philosophy”. Philo-sophia is the love of the whole for it is the love of wisdom which is knowledge of the whole or the aspiration towards knowledge of the whole. The love of the whole and the attempt to gain knowledge of the whole is the call to ‘perfection’, ‘completeness’ that is given to human beings. Since we are part of the whole, we cannot have knowledge of the whole. This conundrum, however, should not deter us from seeking knowledge of the whole and, indeed, this seeking is urged upon us by our erotic nature. It is the urge to be god-like and can lead to tyranny. All human beings are capable of engaging in philosophy, but only a few are capable of becoming philosophers. As human beings, we are the ‘perfect imperfection’. We are ‘perfect’ in our incompleteness.

The whole is the Good (A-E); and that which is is part of the whole so it must, at some point, participate in the Good of which it is a part to some extent. That which we call the ‘good things’ of life such as health, wealth, good reputation, etc. are subject to change and corruption because they are not the Good itself. These are the things that we love. They are wholly in Time. To only love the ‘good things’ is to love the part, and this love of the part channels one off in another direction from that initial erotic urge directed toward the whole or the Good. This is why the ‘good things’ in themselves can become evils and why we can become obsessed with, and succumb to, the urges we feel for their possession. The desire for immortality and the desire for will to power can become hubristic. They can lead to tyranny.

Eros is not the winged cherub or child named Cupid (which is derived from the Romans), nor is it merely the sexual urge which is the modern day focus, thanks primarily through the writings and works of Freud. “Love (eros) is the oldest of all the gods,” says an old Orphic fragment. Another Orphic fragment runs: “Firstly, ancient Khaos’s stern Ananke (Necessity, Inevitability) and Kronos (Chronos, Time) who bred within his boundless coils Aither (Aether, Light) and two-sexed, two-faced, glorious Eros (Phanes), ever born through Nyx’s (Night’s) fathering, whom later men call Phanes, for he was first manifested.” This Orphic fragment is saying the same as the Book of Genesis from the Hebrew Bible: “1 In the beginning God created the heaven and the earth. 2 And the earth was without form, and void; and darkness was upon the face of the deep. And the Spirit of God moved upon the face of the waters. 3 And God said, “Let there be light”: and there was light. 4 And God saw the light, that it was good: and God divided the light from the darkness.” The “light” and Eros are born simultaneously, and this birth is the connection between the Good (God in the Hebrew Bible), the Logos (Intelligence, Mind, Spirit) and Love or Eros between the Intelligence and Love.

Eros is associated with Time; Logos is associated with Space. It is the Logos which grants and gives “form” and “shape” to the void that is prior to Being. Both Time and Space are associated with Ananke Necessity. Ananke is associated with Eros.

Acts of creation are ones that arise out of love, and sometimes that love can be misguided if it is not properly directed by the Logos. Love requires withdrawal and the allowance of things to be if it is to be true. It is an ‘owning’ that is a ‘disowning’ that allows care and concern to grow within its ‘space’, its site. Both Love and the logos allow themselves to be given shapes and forms that are necessarily further from the real truth of the things that are. These shapes Plato calls the shadows.

Plato’s Divided Line from Bk VI of his Republic is a visual representation of the journey of the individual soul that is outlined allegorically in Bk VII of the text in the allegory of the Cave. The Divided Line is the logos as a representation of enumeration or number, while the allegory of the Cave is the logos as mythos or “word” i.e. poetry, and in both cases we are meant to “behold” that which the logos reveals. Both the Divided Line and the Allegory of the Cave are abstractions. The Allegory is intended to be more ‘moving’ emotionally than the speeches outlining the Divided Line. In the Allegory, for instance, there is an emphasis on the physical pain that is involved in the turning toward the Good since we are beings in bodies. There is an emphasis on eros as pathos.

The Divided Line distinguishes between the two faces of the Logos and the two faces of Eros. This distinction is done with regard to how ‘reason’ or the logos (that part of the soul which is called the logistikon by Plato) is to be understood and, subsequently, how eros is to be understood in the concrete details of human living. These details are made even more explicit in the speeches related in the Platonic text Symposium. From these concrete details we can understand the gap that exists between Intelligence and Love in our modern understanding. One face of the Logos is language as rhetoric which is the language that informs the many. Artificial intelligence and its “reason” is rooted in “rhetoric”. The other face of the logos is rooted in dialectic: the “informing” that occurs between two or three individuals that assists the soul on its way to self-knowledge.

For Plato, Eros as Love is what distinguishes the higher Eros from the lower eros. While the higher Eros emphasizes withdrawal and “letting be”, the lower eros is a possessing, holding and consumption of that which is “loved”. The higher Eros emphasizes an engagement in but not a possession of that which is loved. In some of the myths regarding Eros, Psyche the human soul, first hopes to catch a glimpse of Eros and then to hold and possess him. When she does so, Eros disappears and she must begin a long and painful journey to find him again.

Love has no place in the political; it is anti-political in that it is primarily a private act and the political deals with public acts which are associated with the thymoeidic part of the soul and the community at large. The thymoeidic part of the soul is torn between the public and the private spheres. The political emerges out of the private individual things, just as the city emerges from out of the household, the community from out of the family, the family from the individual body.

The root of the agon or conflict between philosophy and the political, as it is for philosophy and poetry, is how Love or eros is understood and interpreted. Alcibiades, the ‘political beast’ who shows up uninvited in the Symposium, has a passion for Socrates, but this passion is not Love. Socrates knows who Alcibiades is and what his nature is so he spurns Alcibiades’ advances and yet at the same time tries to lead him to philosophy because Socrates is aware of Alcibiades’ exceptional nature. Socrates recognizes the greatness of Alcibiades’ ‘spiritedness’ (thymoeides) and tries to lead him to philosophy but fails to do so. Alcibiades’ failure is the result of his love for the polis and for the favours he receives from the many. That many historians attribute the fall of Athens to the Spartans to Alcibiades’ betrayal of the Athenians illustrates to us the importance of this event in the lives of the participants in both Republic and the Symposium and to the history of the West in general. It signified nothing less than the end of what we call the Golden Age of Greek civilization and culminates in the imperialism of Alexander the Great.

Thinking, thought and self-knowledge are co-related. The openness to love and intelligence are co-related. Where true thought is not present, there is no self-knowledge, there is no “intelligence”. Where there is no self-knowledge, there is no sense of ‘reality’. Where there is no sense of reality, there is no knowledge or recognition of good and evil. Where there is no knowledge or recognition of good and evil, there is no possibility of “human excellence” or arete. Without a sense of “human excellence”, there is no polemos or strife within the individual soul to resist the temptations to succumb to evil actions through the many urges of the lower eros and one is unable to move to a higher state of consciousness nor, in many cases, does one desire to move to a higher state of consciousness. One finds the pleasures of the lower eros enough. This satisfaction was found among the Epicurean philosophers and the later Empirical philosophers.

In its urging towards an ascent, Eros’ affect is to make us love the light and truth and hate darkness and falsehood. Care and concern for others and our sense of “otherness” develops from this higher Eros’ erotic urge. The ascent from the individual ego and its love of the part, experienced in the love of a single, beautiful other, to a knowledge of the whole and the love of the whole of things is a process that the immortal part of the soul (logistikon) undergoes in its journey towards “purification” from the love of the meeting of our own necessities and urges (epithymetikon) to the love of the Good. “Depth” arises from the ascent which is toward the centre of the sphere. The descent brings about our desires for the surfaces of things, which is the lower form of eros. These are located on the outer circumference of the sphere. Evil is a “surface phenomenon” and eros is a part of it, and evil is located and thrives on the outer circumference of the sphere. It is the given of the human condition, of its being-in-the-world.

The content which is given to us in the image of the Divided Line in Bk VI of Republic is emphatically ethical for it deals with deeds, not with words. The philosophic way-of-being is erotic by nature. To be erotic is to be in ‘need’; sexuality is but one powerful manifestation of the erotic in our lives and it illuminates our desire for immortality through the procreation of children. The procreation of children is the recognition of the ‘otherness’ that is our being- in- the- world. In general, the two faces of Eros have to do with mortality and immortality. They are bound together like two sides of the same coin. It is the awareness of our mortality that makes the desire for otherness a need.

The ‘spirited’ (thymoeides) part of the soul acts as a mediator or metaxu between the logistikon or “rational” part and the epithymetikon or “appetitive” part of our souls which in turn determine our various “militaristic” and sexual passions which manifest themselves in our love of sports and competition or our love of wealth among many other varied activities and pursuits in the various worlds that we participate in. This is eros as pathos in our human natures.

When such drives dominate the soul, there is a predilection for politics, for power within the community or polis to make such an acquisition of such goods or objects easier. Such a desire for power is rooted in a desire for immortality through ‘honour’ and ‘fame’ through the thymoeides part of the soul. The ‘procreation’ that is the root of sexuality is the desire for immortality through offspring. This desire for immortality through offspring is the desire for the Incarnation, the ‘procreation’ of the Good, the begetting of the Good in beauty. The separation of the desire for offspring from the orgasm that is the result of that sexuality is but one manifestation of that gap between intelligence (nous, mind, spirit) and love that is revealed in Sartre’s “hell is other people” statement noted above. It is a manifestation of the tyrannous soul.

The philosophic soul reaches out for knowledge of the whole and for knowledge of everything divine and human. It is in need of knowledge of these things, to experience and to be acquainted with these things. This noetic knowledge is a gnosis, an en-owning of the knowledge of which one has taken “possession”, not through consumption but through participation. It is an active being-in and concern-with and yet, at the same time, a “letting be” through a contemplative consideration of what is close at hand. The non-philosophic human beings are those who are erotic for the part and not the whole. They are deprived of knowledge of what each thing is because they see by the borrowed light of the moon (the images of the imagination that are our representations) and not the sun; their light is a reflected and dim light. They wish to control, commandeer and consume that which has emerged into being. The hubris of human beings, and their great danger both to themselves and to otherness, is to try to commandeer and control being itself.

Eros is the “sun-like” quality of the “eye” that allows the eye to perceive the Sun’s goodness. Eros acts as the metaxu or the “between” or the “in between”, the mean proportional of geometry, the “open” space that occasions or establishes a relation between two incommensurate properties or things. In the prison cells that are our ’embodied souls’, the ‘form’ that the logos takes acts as a barrier but it is also a way through. The metaxu are ‘means’, what we call the ‘goods’ of the world. As such, they are the ‘bridges’ to the Good itself.

Metaxu can also be translated as “among,” “in the midst of,” or “in the meantime”, the “in-between” space or that “open” region that is the realm of mediation between two distinct realities or concepts such as is shown to us in each segment of the Divided Line.  “Metaxu” can be seen as a space of mediation between the divine and the human, or between the earthly and the spiritual. It is a bridge. It is Eros as the “space” or “site” of the longing and striving for the something that is beyond the immediate.  It is the meeting point or place of Eros (Time) and Logos (Space) and from within it, truth as aletheia or ‘unconcealment’ occurs in the revelation of the beauty of the thing being observed which is further extended to the beauty of the world or the whole. The beauty of the world is the parousia or “presence” of the Good yet, at the same time, the metaxu form the region of good and evil. They act as barriers to the Good.

In the Allegory of the Cave the prisoners see the shadows of the artifacts carried before the fire that the artisans and technicians have ignited and tend. They have no clear pattern or ordering in their souls, and they lack the experience (phronesis or wise judgement) that is tempered with sophrosyne (moderation) that they have acquired through the experience of suffering or strife. The purpose of suffering is self-knowledge which is revealed, ironically, as the destruction of the “ego” or self. The best example of this that we have in English literature is Shakespeare’s King Lear. In the play, King Lear has become an “0”, a ‘nothing’, and the destruction of his pride and his loss of place in society allows him to gain a new sense of otherness and to be reborn. In his rebirth, the first thing that he apprehends is Cordelia, the living embodiment of truth and truth-telling in the play. From the play, it is clear that the process of re-birth is not an easy one.

The philosophic soul is one that has an understanding endowed with “magnificence” (or “that which is fitting for a great man” and is thus distinguished from the understandings of those who are not “great men”) and is able “to contemplate all time and being” (486a) i.e. the understanding that is in the soul of the philosopher is ‘prophetic’. The prophet speaks ‘the highest’ speech. The philosophic soul has from youth been both “just and tame” and is not “savage and incapable of friendship”. The philosophic soul is not ‘rough’, but ‘smooth’. The meaning of the statement above Plato’s academy is not that “No one enters unless he knows geometry” as a specific study of the mathematical arts, but that “No one enters unless he has the capability of being a friend”. (See the connection to The Chariot card of the Tarot where the two sphinxes, one white and one black representing the mystery of the soul, are in contention or strife polemos with each other.)

In looking for the philosophic way-of-being-in-the-world, Socrates concludes: “….let us seek for an understanding endowed by nature with measure and charm, one whose nature grows by itself in such a way that as to make it easily led to the idea of each thing that is.” (486d) The philosophical soul is as it is by nature. It grows by itself from out of itself. It is not a product of education alone, although education can assist it on its way in the same way a farmer attending his crops assists his crops on their way. Socrates sees his main task as being a mid-wife.

Is this all souls or only some souls? Are all souls capable of attaining the philosophical way of being? The modern answer to these questions, through the impact of Christianity and the modern philosophers, is a “yes” while the ancient answer appears to be a “no”. Saints and philosophers are rare plants to the ancients.

Shakespeare’s Hamlet may be said to be a play regarding this conflict in the thymoeidic part of the soul. Hamlet’s ‘doubt’, his need for certainty and surety, prevents him from seeing the reality in which he has been placed and from taking the proper action necessary which is the fate that has been given to him. Hamlet’s doubt gives him an ‘unbalanced soul’. In contrast, Horatio is shown by Hamlet to be an example of the ‘balanced soul’ who is in possession of what Aristotle called phronesis:

“…for thou hast been
As one, in suffering all, that suffers nothing,
A man that fortune’s buffets and rewards
Hast ta’en with equal thanks: and blest are those
Whose blood and judgment are so well commingled,
That they are not a pipe for fortune’s finger
To sound what stop she please.” (Hamlet Act III sc. ii)

Horatio is an example of a ‘just man’, for his “balanced soul” allows him to take actions that are well-considered, wise. He is able to take life’s goods and evils with equal thanks, and this dispassionateness allows him to make the proper judgements at the appropriate time. This ability to make proper judgements is the proper relation of the logistikon and thymoeidic parts of the soul. The epithymetikon part of the soul creates distortion and chaos for the judgement when it dominates. The flute or pipe, the wind instrument, is the musical instrument of Dionysus, the god of tragedy, while the lyre or stringed instrument is the instrument of the god Apollo. Apollo is the god associated with the Sun and with truth.

Socrates uses an eikon or image (A-B of the Divided Line) to indicate the political situation prevalent in most cities or communities. The eikon uses the metaphor of the “ship of state” and the “helmsman” who will steer and direct that ship of state. The rioting sailors on the ship praise and call “skilled” the sailor or pilot, the “knower of the ship’s business”, the man who is cleverest at figuring out how they will get the power to rule either by persuading or forcing the ship-owner to let them rule. Anyone who is not of this sort and does not have these desires they blame as “useless”. They are driven by their “appetites”, their hunger for the particulars which they perceive as ends i.e. what Plato describes as human beings when living in a democracy, oligarchy, or a tyranny. In the modern age, we have killed off the ship-owner and replaced him with the ‘helmsman’, the cybernaut.

This is the reason why Plato places democracy just above tyranny in his ranking of regimes from best to worst, tyranny being the worst since both these regimes, democracy and tyranny, are ruled by the appetites and not by phronesis and sophrosyne or what we understand as ‘virtue’. (Democracy’s predilection for capitalism is a predicate of the rule by the appetites and the lower form of eros. The soul’s power to distinguish between self-interest and the common good becomes weakened or corroded under democracy so that tyranny is the ultimate result. It is the destruction of the sense of otherness in the soul. Human beings are, as individuals, tyrannic by nature and this is primarily due to the influence of eros. Technology has a great impact in increasing this tendency toward tyranny and towards the tyrannic soul. We seek the ‘gigantic’ and ‘intense’ rather than the ‘pure’.)

The erotic nature of the philosophic soul “does not lose the keenness of its passionate love nor cease from it before it has grasped the nature itself of each thing which is with the part of the soul fit to grasp a thing of that sort, and it is the part akin to it (the soul) that is fit. And once near it and coupled with what really is, having begotten intelligence and truth, it knows and lives truly, is nourished and so ceases from its labour pains, but not before.” (490b) The language and imagery used here is that of love, procreation, and childbirth, and this indicates its connection to both the lower and higher forms of Eros.

The world of the sensible must be experienced through the body, the epithymetikon part of the soul. With regard to the Divided Line, the world of the sensible, the Visible, “is equal to” the world of Thought: the mathemata or “that which can be learned and that which can be taught”. That which can be learned and that which can be taught is initially the visible, that which can be sensed and experienced. Socrates sees himself as a mid-wife, helping to aid this birthing process that is learning. It is a birthing process because it is a poiesis or a “bringing forth”.

At Republic Bk. VI 508 b-c, Plato makes an analogy between the role of the sun, whose light gives us our vision, to the visible things to be seen and the role of the Good in that seeing. The sun rules over our vision and the things to be seen. The eye of seeing must have an element in it which is “sun-like” in order that the seeing and the light of the sun be commensurate with each other. Vision does not see itself, just as hearing does not hear itself. No sensing, no desiring, no willing, no loving, no fearing, no reasoning can ever make itself its own object. Eros as pathos cannot be grasped through human reason but can only be spoken of through human language.

The Good to which the light of the sun is analogous, rules over our knowledge and the real being of the objects of our knowledge (the forms/eide) which are the offspring of the ideas or that which brings the visible things to appearance and, thus, to presence or being, and also over the things that the light of the sun gives to vision: “This, then, you must understand that I meant by the offspring of the good that which the good begot to stand in a proportion with itself: as the good is to the intelligible region with respect to intelligence (D-E) and to that which is intellected (C-D), so the sun (light) in the visible world to vision (B-C) and to what is seen (A-B).” This “begetting” of the Good hints at its connection to Eros and to Logos.

Details of the Divided Line: Section A-B

Eros and Logos manifest themselves in the A-B section of the Divided Line as the mediation points or metaxu that unite the tripartite soul of the human being to the things that are. “A” of the Divided Line is Eikasia or Imagination. These are the likenesses, images, shadows, models, imitations, and icons that our vision produces. They are the “schema” and “plans” that human beings put forward in order to create their understanding of their worlds. “To produce” is to “pro-create”, to “bring forth”. The end of all procreation is the desire for immortality. Nature’s procreation is sempiternal: it exists eternally within Time. For Plato, Time is the moving image of eternity. Our desire for children is the desire for immortality on the natural level. Eternity is that which exists outside of Time. Eros functions as that desire for immortality through procreation manifested in sexuality on the physical level. When the desire for children is divorced from sexuality, this is but one example of where human beings enter that stage where their sense of “otherness” is gradually eroded and their desires become “tyrannous”, self-serving. For human beings, children are the fact of “otherness”. In literature, for example, the tyrant Macbeth and his wife have no children.

Section A-B of the Divided Line is what we understand as ‘civilization’, those artefacts created by human beings that are distinct from nature because they are made by human beings. They are the shadows on the walls of the Cave. Nature and convention are in opposition to one another, and it is by nature that we are measured even though we believe that it is we who do the measuring. This is why eikasia or imagination is placed below Nature on the Divided Line; Nature is of the higher order or a higher dignity when it comes to Truth and its unconcealment.

In the illustration shown, the two diagonals that emerge from C and culminate on the surface of the sphere at B are two types of thinking associated with techne that occur in the C section of the Divided Line: poetic thinking or the thinking of the arts, and the thinking that is the know-how of the artisans and technicians. In both types of thinking, there is a metaxu that is needed, a ‘light’ that is required, and that ‘light’ is studied through geometry and the dialectical discussions that surround geometry. “Depth” occurs by a movement towards the centre of the sphere, not from the “height” that is the sphere’s surface. This movement is provided by eros. Goodness is at the sphere’s centre; evil is on the surface.

Newton

In the cosmology of the poet and and painter William Blake, the scientist Newton is depicted at the bottom of the sea sitting upon a rock (which oddly looks like a urinal or toilet) creating a geometric cone upon a scroll. He is surrounded by darkness. There is a polypus or octopus swimming by, and this creature is equivalent to the Great Beast of Plato i.e. the political, or the social. The fact that Newton is not putting his geometry down in a book or in stone but on a scroll indicates that Newton is using the creative imagination. As a scientist, or rather the scientist for Blake, Newton is joined with Bacon and Locke who, as seekers of truth and despite their errors, appear in the heavens on the day of the Apocalypse among the chariots of the Almighty, counterbalancing Milton, Shakespeare, and Chaucer, the greatest representatives of the the Arts. Theses philosophers and poets are all English-speaking.

Plato has a similar line up in his Symposium with the greatest representatives of the arts and scientists present at the banquet in which the topic of Eros will be discussed. The subject of both the Arts and the Sciences is the beautiful: order, proportion, harmony. The Sciences deal with these in the realm of the suprasensible and the necessary while the Arts are concerned with the sensible and contingent. Chance and evil, necessity, are present in both.

The essential urge of Eros is the desire for immortality and this is shown in Eros’ affect on all three parts of the Platonic soul. The epithymetikon (appetite or desire, which houses the desire for physical pleasures, especially sexuality) partially realizes this desire through the begetting of offspring. This ‘begetting’ mirrors the begetting of the eidos through the ideas: the offspring, while appearing to be the same are different . In all cases, the ‘image’ of Beauty in the outward appearances of the mortal things is what attracts and urges us to ‘possess’ and ‘consume’ those things which we desire. Our belief is that in possessing and consuming such things, immortality will follow. It is Khronos (Time) who eats his own children.

The image of a thing of which the image is an image are the things belonging to eikasia or the “imagination”. This is what we understand as ‘civilization’. These are the things ‘procreated’ by human beings through the logos whether the logos be understood as representational thinking such as mathematics or logic, or the creative works of the technites or artists and technicians, such as writings or shoes. The idea that is to be the next pair of Nikes was always already there. It was waiting for the artisan and technician to give birth to it, to “pro-create” it, and bring it forward into being. This is the distinction between the procreation of Nature and that of human beings: nature’s procreation is in itself from out of itself, while human beings are a combination of this (sexuality, nature) and “in another for another” (techne) i.e. the next pair of shoes derives from materials that are not of human beings nor of human making.

We are ‘reminded’ of the original by the image: the Beauty of Nature is the “image” that reminds us of the Good. Just as Nature is sempiternal, eternally in Time, the Good is eternal, eternally outside of Time. Nature is a mirror-image of the Good while Nature is, at the same time, dominated by Necessity Ananke. Necessity is Time. And there is a great gap separating the Necessary from the Good; that gap is the whole of Time and Space. That gap is mirrored in the separation of Love from the Intelligence in the A-C section of the Divided Line. The mediation of what we call “Intelligence” (mathematical calculation, the principle of reason) is a mirrored image of the mediation of Love and the things that are. The Intelligence that is the principle of reason is a “possessing”, commandeering logos, while the Intelligence that is Love is a ‘letting be’ and a contemplation of the things that are. In our being-in-the-world, we wish to consume the objects of our senses. The beautiful is that which we desire without wishing to eat it. We desire that it simply should be. To do so requires the renunciation of the imagination and the products of the imagination. This is not an easy thing to accomplish.

The sphere of Space encloses the beings that are in Time. It is the logos that encloses beings within Time. It is the Logos that establishes limits and brings the things that are to a ‘stand’. The soul, psyche, of human beings is eternally in Time. When the soul is assimilated into the One that is the Good, it ceases to be in time. Nature is eternally in time. Time is the moving image of eternity. Eros is a moving image of the Good that is beyond time. Nature is sempiternal, everlasting, endless.

The thymoeides part of the soul (spiritedness, which houses anger, as well as other spirited emotions), realizes the desire for immortality in its desire for “eternal fame and glory”. There is a “beauty” (kalon) in the carrying out of great deeds. We cannot, for example, deny that there is no beauty in the site of the Three Gorges Dam. Public care and concern (“spiritedness”) is linked to self-interest and it is here that we find the motivation of the politicians. The desire for immortality is in the desire for the doing of great deeds which will bring the individual before the public in some manner. Whether through military campaigns, the creation of ‘works’, or sporting achievements, this recognition is another way in which the soul tries to achieve a partial immortality, eternal fame, just as children are a ‘partial immortality’ in the physical realm.

The techne or artisan is the servant of the people: “in another, for another”. His “work” illustrates his mastery of a ‘part’ of knowledge, his own art, his “know how”, that knowledge that the philosopher aspires to for the whole of things. This mastery is driven by the thymoeides part of the soul, that which is driven for the mastery (thymus) of the eidos (the outward appearances of things).

The logistikon is that part of the soul that is the smallest part of the soul, and it is the only part of the soul that is beyond Necessity because it is part of the Good itself. In the illustration provided below, the logistikon is the centre point of the sphere that may be said to be within Time and out of Time, or it is at least the closest one can come to in being out of Time. References to the logistikon are found throughout our literature in myth and fairy tales as the ‘smallest’ of things that grow that have the greatest consequence. The sphere itself is as a great Wheel of Fortune that is in motion. This is Necessity. The only way of escaping the turnings of the Wheel is by being at the centre of it (King Lear Act V sc. iii).

In the A-B section of the Divided Line, the logistikon acts as that which ‘ties things down’, the logos that gathers things together and holds them in place. The ‘knowing’ and ‘making’ of the artisan and the technician (technology) is the interaction between the logistikon and the thymoeides parts of the soul of the artisan and technician. It is the face of the logos that is the principle of reason, of logic, and the language that forms our collective discourse (rhetoric). One of the faces of the Logos is that it is the “form” that makes the “informing” possible.

Section B-C of the Divided Line: Technology as Shadow

Section B-C of the Divided Line corresponds to physical things and to that which can be ‘counted on’ i.e. it represents trust, confidence, belief, faith (pistis). The physical things are those that can be seen or perceived with the senses. It is eros as ‘light’ that provides this capability. They are the things that are at our disposal, the ready-to-hand. In the Divided Line B = C: the physical things and our trust/belief in them is equal to the thoughts that we can think of those things through the representations of our perceptions of those things with our senses i.e. the Forms or Eidos of the things, the “outward appearances of the things”.

We have two definitions of what human beings are that have come down to us historically from the Greeks and the Latins. From the Greeks, human beings are the zoon logon echon, “the living being that dwells and perdures in language”. From the Latins, humans are the animale rationale, the “rational animal”. From the Latin definition arises the principle of reason, and this is what is in operation in section C of the Divided Line and determines one type of thinking and the logos from which it is derived.

A principle contains within itself a ratio, a reason for something else. The principle of reason is the ground/reason for all other principles and that means for what a principle is per se, for what a statement is, for what an utterance is. That about which the principle of reason speaks is the ground of the essence of language, of logos. This ground or essence is what we understand as one of the faces of Eros. Principles are derived from axioms. In Greek, axiom means “to find something worthy”. “Worthiness” is the trust, belief given to us by the “self-shining forth” of the axioms. Given our illustration, the problem is that the principle’s ratio is itself an ‘irrational number’, a contradiction.

The axioms determine the principles that have been derived from them. In Greek axiom is “to let something repose in its countenance and preserve it therein”. It is related to representational thinking and to eidos. Principia
are the sort of things that occupy the first place, that stand first in line.
Principia refers to a ranking and an ordering. They are our objects of sophia.
The ordering realm (Section A-C) is the realm of principles (sophia). We have determined that the sole purpose of axioms is to secure a system that is free of contradictions. The axiomatic character of axioms is to eliminate contradictions. Our concepts, axioms, principles (fundamental principles) serve the axiomatic securing of calculative thinking. What we call science is axiomatic, but for Plato science does not think in the manner that philosophers think.

Wilhelm Gottfried Leibniz

For the philosopher Leibniz, the principle of reason is the principle of rendering sufficient reasons. To render in Latin is “to give back”. Our “cognition” (ways of knowing), “consciousness” is the rendering back of reasons. In Latin, cognition is representatio: the object, what is encountered, is presented to the cognizing “I”, presented back to and over against it, and thus made present. “Ob-ject” comes from ob-“against” and jacio “that which is thrown”.

Cognition must render to cognition the reason for what is encountered—and that means to give it back to cognition if it is to be a discerning cognition. “Beauty is in the eye of the beholder” because a sufficient reason, a ratio, cannot be given in an account of what is considered to be “beautiful”, although we have the theory of aesthetics which attempts to do so and which itself is based on the principle of reason. Under the principle of reason, eros becomes stifled, exsanguinated.

The principle of reason is reached only when it is understood as the fundamental principle of demonstrations: i.e. the fundamental principle of statements such as those given in our research, experiments, essays, presentations, etc. It is the principle of reason which is the dominant form of the logos in section C of the Divided Line in our modern age. The principle of reason is a Principle for sentences and statements i.e. for what is called “philosophical” and scientific knowledge (methodologies). The principle of reason is necessary for the rendering of reasons in the true statement/sentence. The principle of reason is the fundamental principle of the necessary founding of sentences and principles. This is what makes the principle of reason the essence of what we call Artificial Intelligence and the meta-languages associated with it.

What is empowering about the Principle is that it pervades, guides and supports all cognition (ways of knowing) that express themselves in sentences and propositions. The principle of reason is valid for everything which in any manner is. Cognition, our “ways of knowing “, is a kind of representational thinking. In this “presentation” something we encounter comes to a stand, is brought to a standstill as object. For all modern thinking the manner in which the things “are” is based on the objectness of objects. For representational thinking, the representedness of objects belongs to the objectness of objects. This is what Plato understood as “the shadows” and this is represented by the square in the illustration provided above.

“Ob-ject” comes from the Latin which means “the thrown against”. The “against” of the object must be a founded one: how the object is. Something
is, which means that it can be identified as being a being, only if it satisfies the fundamental principle of reason as the fundamental principle of founding. The principle of reason is the fundamental principle of cognition (ways of knowing) as the Principle for everything that is. It establishes our “under-standing” of what and how things are in the world that is ready-to-hand. It is the reason why “beauty must be in the eye of the beholder”.

We are who we are as human beings only insofar as the rendering of reasons empowers us. This is what makes us the animale rationale. It is from this “empowerment” that we judge what is human and what is not, what is sane and what is not, what is just and what is not, etc. This empowerment, the demand to render reasons, threatens everything of humans’ being-at-home and robs us of the roots of our subsistence i.e. of everything that has made human beings great up till now . It is the nihilism that threatens civilization, the ceasing of concern for what “human excellence” is, for what “virtue” is. There is a connection between the demand to render reasons and the withdrawal of roots, and the subsequent rootlessness of modern humanity.

For the Greeks, ousia or presence was understood as the thing’s way-of-being in the world. The city or society came about because of the body and the needs of the body. The city is a product of the procreation of eros writ large. The city was, thus, the individual writ large. The city represented the individuals which composed it in that its regime would reflect the opinions of those who are predominant in the community, those who hold power. It is because of this power that Plato considers it the Great Beast.

B-C in the Divided Line is the point where we see the two faces of Eros as well as the two faces of the Logos. The wants and the needs of the body for the individual are radically private and at the same time require other human beings for their fulfillment. The city or polis is an artefact brought forth by human beings and it has both the characteristics of being a natural thing and those of an artificial thing. Plato’s Cave in his Allegory is both a natural thing and a product of human invention and production. As the law of necessity controls the realm of nature, so too do laws control the ‘life’ that is shown in the polis. The walls of the Cave reflect the projected shadows of the interpretations of the Cave given through the representational thinking that is the Eikasia or “imagination” of the cave-dwellers. It is here that the essence of technology as “information” or the “form that informs” finds its source.

In the image of the Divided Line, the first thing the dweller inside of the Cave sees are the reflections of the shadows upon the walls of the Cave. These shadows or images form our views of the things that are. These provide us with our “understanding” of things whether they are the things of nature, the artefacts which human beings produce, or the things that are the products of our representations of them such as our sciences or our arts. Our “understanding” is an interpretation of the things, not an under-standing of the things themselves. Eros is not satisfied with these understandings and longs for the things in themselves. This is due primarily to Eros’ chief desire which is the achievement of immortality, that which is beyond change; and the things and our interpretations of them are subject to change.

In the B-C section of the Divided Line, the mind or logistikon part of the soul (the intelligence which became translated as ‘reason’ and so its connection to logos) is aided by the thymoeides or ‘spirited’ part of soul to attain to that object to which the appetitive part of the soul is directed. The appetitive part of the soul is urged by the thing’s “goodness” or perceived goodness, be it in food, drink, sex or whatever, and that this goodness will assist the body to survive and promote the soul’s search for immortality. The soul as a ‘one’, a whole, is directed or attracted by the kalon or beauty of the thing, to possess or ‘consume’ that which it perceives as beautiful. That which is perceived as beautiful is that which is ‘perfect’ or complete. Sexually, this is the individual beautiful human being at the beginning stages of the journey that leads to the perfection that is the Good (or immortality). The individual desires to “consume” the other human being so that the two may become one in a literal sense.

The word beautiful (kalos) is distinct from good (agathon) and it also means ‘fair’, ‘fine’, ‘noble’. Everything outstanding in body, mind or action can be so designated, and the aspiration for these qualities can be related to the thymoeides part of the soul and the eros which drives it. We have designated this quality as “human excellence” among human beings, arete, what we call “virtue”. What is loveable either to sight or mind is beautiful. It is what we designate as “moral” with the distinction that it is beyond obligation or duty, what we cannot expect everyone to perform. It is of a higher rank than the just, which every human being can be expected to perform. The core of a just political order was defined by “virtue” for the ancients, while today “freedom” is believed to be at the core of the just political society. Both of these views may be said to be present in A-C section of the Divided Line. This emphasis was directed by the eros that is the thymoeides part of the soul.

In earlier writings on this blog, it was recognized that the evil or wicked were not alone the individual criminals but those who wished to rule for their own self-assertion. Such people were more destructive of justice than those who ruled simply in terms of the property interests of one class. Because tyrants were the most dangerous for any society, the chief political purpose anywhere was to see that those who ruled had at least some sense of justice which mitigated self-assertion. This was at the core of earlier education systems. The IB, too, has this mitigation of self-assertion at its core. The great danger of the thymoeides part of the soul was its tendency to tyranny. This tendency is also part of Eros.

In Section A-B of the Divided Line, the logos of the logistikon of the soul is concerned with the calculation from which knowledge is derived. This calculus has shaped what we understand by modern science and is at the heart of what we understand as technology. It finds its place or site in that field of mathematics that we call algebra. Money, technology, algebra are analogous as signs of our worship of power.

As Eros is two-faced so, too, is the logos in the realms of the physical and imaginative. The “mathematics” (“that which can be learned and that which can be taught”) of the logos is of two types: the arithmos of the particular things, those things that exist in Time, those things that can be counted and counted on, and the geometria of that which exists in Space, those things that are the works of the Logos. As logos understood as the “calculable” through algebra comes to predominate so, too, does the notion of justice as “calculable” come to predominate (this is the modern view of justice i.e. “the greatest good for the greatest number”).

The thymoeides part of the soul is concerned with “passion”, and it is this passion which unites with the logistikon part of the soul and brings about the urge to attempt to attain immortality through ‘noble’ and ‘fine’ deeds or works. The understanding of what ‘fine’ deeds are is part of the ‘cognition’ or perception of how ‘human excellence’ is understood beforehand. We ‘love’ the beauty of ‘human excellence’ when it is shown to us. It is the passion to possess this beauty that compels us to perform excellent deeds in whatever context those deeds may be performed.

Section C-D of the Divided Line

Many will find the proposition that science does not think the most controversial put forward in this writing. What does it mean for Plato (and Heidegger) to say this? How does this statement cast a light on what we understand as artificial intelligence and on rationality in general?

The Forms or eide (the outward appearance of things) are begotten from the ideai which, in themselves, are begotten from the Good. “Begottenness” is of Eros. The forms give presence to things (ousia) through their outward appearance. The “seeing” of this presence is dependent on “sight” which, in turn, is dependent on the light of the sun. In order for this to occur, the eye must have something “sun-like” in it just as the soul must have something like “the good” in it to be able to “bring forth” the representations of the things that are in the mind or intellect.

There is nothing without thought; there is no thought without things. In the Divided Line, B = C. “Otherness” is a condition of being. Human beings are essential for being to be. Being needs human beings to be. Being is reality. What we call science is the theory of the real, the “seeing” of the real. (“And would you also be willing,” I said, “to say that with respect to the truth, or lack of it, as the opinable is distinguished from the knowable, so the likeness is distinguished from that of which it is the likeness?”) The “images” and “shapes” of things, the eide, such as the city or society is the individual writ large. The polis or city is a city of artisans and technicians, of technites. The “knowing one’s way about or within something” begins in the household and caters to the production of novelty, efficiency. The logos, like Eros itself, is two-faced or of two types. The jumping off point or the leap is the recognition that the Sun in the realm of Becoming (Time), like the idea of the Good in the realm of Being, is responsible for everything that is. The Sun is Time as the moving image of eternity, and all that is in being owes its existence to Time. The Good is eternity, and all that is in Being and Becoming owes its existence to the Idea of the Good.

Dianoia is that thought that unifies into a “one” and determines a thing’s essence. The eidos of a tree, the outward appearance of a tree, is the “treeness”, its essence, the idea in which it participates. We are able to apprehend this outward appearance of the physical thing through the forms or eide in which they participate for these give them their shape. The understanding, the hypo-thesis (dianoia) is the “standing under” of that seeing that is thrown forward, the under-standing, the ground. Thought under-stands the limits and boundaries of things and gives them “measure” through the use of number or language logoi. The giving of measure to the seeing is geometry and geometry deals with ratios; and from it, the hearing of the harmonia of music, the music of the spheres, is recognized and produced. The music of the spheres is the recognition of the whole of which each being is a part, and how that part is related to the whole. Thought comprehends the “measure” of the things that bring about “harmony” and unites the individual being or thing to the whole. The proportionals are arranged about a “mean” which is “hidden” or “irrational”. The principle of stringed instruments and their ratios is applicable to the whole of the universe, both the visible and invisible.

Section D of the Divided Line is the Ideas Ideai which are begotten from the Good and are the source (archai) of the Good’s presence parousia amidst that which is not the Good, both in being and becoming. The Good is seen as “the father” whose seeds (ideai) are given to the receptacle or womb of the mother (Space) to bring about the offspring that is the world of A-E (Time), within the whole of things within Space. The realm of A-E is the realm of the Necessary. (Timaeus 50- 52e). The dialogue of Timaeus occurs the morning after the dialogue that we call Republic. It is the continuation of an ascent from the eikasia of the imagination and opinion of Section A (Republic) to the physical reality of Section B of the Divided Line (Timaeus). Timaeus is a revealing of the Ananke, what the Greeks understood as Necessity. The dialogues of the Sophist, Theatetus and The Statesman illuminate Section C of the Divided Line. Symposium and Phaedrus are dialogues that help to illuminate Section D.

Because the ideas are begotten from the Good, the ideas are the essences of things, their “oneness”, that which they really are. The ideas in turn beget the eidos which bring things to presence in their ready-to-handedness in time for human beings. The things come to a stand through the eidos and give us what we call our “understanding”. The nature of this understanding is pre-determined by the logos within being, by the “frame” or the “form” that is a product of the logos.

Noesis is often translated by “Mind” but “Spirit” might be a better translation. Contemplation, attention, “dialectic” are the activities of noesis. Knowledge (gnosis), intellection, the objects of reason (logoi but not understood as logistics but as noesis, ideai, episteme) is what is understood as “knowledge” in this section of the Divided Line. “Knowledge” is permanent and not subject to change as is “opinion”, whether “true” or “false” opinion. Opinions develop from the pre-determined seeing which is the understanding of the essences of things prevalent at a certain time. Understanding is prior to the interpretation of things and the giving of names to things.

The Idea of the Good (agathon) is what provides “the truth to the things known (i.e. their “unveiling”, their “showing forth”) and gives “the power to the one who knows… and, as the cause of knowledge and truth, you can understand it to be a thing known; but, as fair as the two are – knowledge and truth – if you believe that it is something different from them and still fairer than they, your belief will be right.” (Republic 508e – 509a) The Idea of the Good is the essence of things that come to be whether in the Visible or the Invisible realms. The Good is beyond both Time and Being. When the soul is in direct contact with the Good, gnosis is achieved and the soul is no longer in Time for it becomes part of the One of all that is. The Good is responsible for (aitia ‘the cause of’) the knowledge and truth (aletheia, unconcealment) of all that is. Without it, knowledge and truth could not be attained. Everything would be ‘irrational’. Eros as Love and the Beautiful is this face of the two-faced Eros.

The whole of the Divided Line (A-E) is the Good’s embrasure of both Being and Becoming, that which is both within Time and Space. This embrasure is spherical in shape. The Good itself is beyond this sphere that is Being and Becoming (i.e. space and time) and there is an abyss separating the Necessary (which is both Space and Time) from the Good. Within the Divided Line, that which is “intellected” (C-D) is equal to (or the Same i.e. a One) as that which is illuminated by the light of the sun in the world of vision. (B-C)

Details of the Divided Line

Below is a summary of the points made regarding the Divided Line:

“This, then, you must understand that I meant by the offspring of the good that which the good begot to stand in a proportion with itself: as the good is in the intelligible region with respect to intelligence (DE) and to that which is intellected [CD], so the sun is (light) in the visible world to vision [BC] and what is seen [AB].”

E. The Idea of the Good: Agathon, Gnosis “…what provides the truth to the things known and gives the power to the one who knows, is the idea of the good. And, as the cause of the knowledge and truth, you can understand it to be a thing known; but, as fair as these two are—knowledge and truth—if you believe that it is something different from them and still fairer than they, your belief will be right.” (508e – 509a)  
D. Ideas: Begotten from the Good and are the source of the Good’s presence (parousia) in that which is not the Good. The Good is seen as “the father” whose seeds (ἰδέαι) are given to the receptacle or womb of the mother (space) to bring about the offspring that is the world of AE (time). The realm of AE is the realm of the Necessary. (Dialogue Timaeus 50-52 which occurs the following morning after the night of Republic)D. Intellection (Noesis): Noesis is often translated by “Mind”, but “Spirit” might be a better translation. Knowledge (γνῶσις, νοούμενα) intellection, the objects of “reason” or the logos (Logoi) (νόησις, ἰδέαι, ἐπιστήμην). “Knowledge” is permanent and not subject to change as is “opinion” whether “true” or “false” opinion. Opinions develop from the pre-determined seeing which is the under-standing of the essence of things.  
C. Forms (Eide): Begotten from the Ideas (ἰδέαι) . They give presence to things through their “outward appearance” (ousia). There is no-thing without thought; there is no thought without things. Human being is essential for Being. Being needs human being. “And would you also be willing,” I said, “to say that with respect to truth or lack of it, as the opinable is distinguished from the knowable, so the likeness is distinguished from that of which it is the likeness?”  C. Thought (Genus) Dianoia is that thought that unifies into a “one” and determines a thing’s essence. The eidos of a tree, the outward appearance of a tree, is the “treeness”, its essence, in which it participates. We are able to apprehend this outward appearance of the physical thing through the “forms” or eide in which they participate. Understanding, hypothesis (διανόια). The “hypothesis” is the “standing under” of the seeing that is thrown forward, the under-standing, the ground.  
B. The physical things that we see/perceive with our senses (ὁρώμενα, ὁμοιωθὲν)B. Trust, confidence, belief (πίστις) opinion, “justified true beliefs” (δόξα, νοῦν). Opinion is not stable and subject to change. The changing of the opinions that predominate in a community is what is understood as “revolution” or “paradigm shifts”. “Then in the other segment put that of which this first is the likeness—the animals around us, and everything that grows, and the whole class of artifacts.”  
A. Eikasia  Images Eikones: Likeness, image, shadow, imitation, our vision (ὄψις, ὁμοιωθὲν). The “icons” or images that we form of the things that are. The statues of Dedalus which are said to run away unless they are tied down (opinion). It is the logoi which ‘ties things down’.A. Imagination (Eikasia): The representational thought which is done in images. Our narratives, myths and that language which forms our collective discourse (rhetoric). Conjectures, images, (εἰκασία). The image of a thing of which the image is an image are things belonging to eikasia. We are “reminded” of the original by the image. “Now, in terms of relative clarity and obscurity, you’ll have one segment in the visible part for images. I mean by images first shadows, then appearances produced in water and in all close-grained, smooth, bright things, and everything of the sort, if you understand.”  The Platonic “imagination” is distinguishable from the “transcendental imagination” of Kant. For Kant, the “transcendental imagination” refers to a “blind yet indispensable function of the soul” which is responsible for synthesizing sensory data into coherent experiences (logos) making the objects of experience possible (eros). Human consciousness and self-awareness is both sensibility/sense perception and understanding, and the “transcendental imagination” transforms mere sensations into conscious perceptions. Here, Kant is speaking about the ‘form’ that ‘informs’ i.e. technology. Like Kant, for Plato the imagination is not merely reproductive but is productive in that it makes experience, in general, possible through the coming together of the logos and eros. Unlike Kant, for Plato Eros is not “blind”.

See also https://mytok.blog/2023/08/18/platos-divided-line-and-the-golden-mean/

Eros, Logos and the Tripartite Soul

Psyche and Eros

“Spiritedness” and Human Excellence

Eros is the “procreator” of “true virtue”, and true virtue comprises courage, moderation, wise judgement and justice. It was believed that these qualities were the ‘highest’ that a human being could attain and comprised human excellence, the ideal, the model, the paradigm. It was believed that these qualities could be attained through eros as Love. Each of the speakers of the Symposium addresses these four virtues in some way, and in their logoi reveal themselves as individuals as well as the nature of all human beings to some extent.

In Alcibiades’ speech in Symposium, we have his criticism of the love of the philosopher which he asserts is beyond the human. In this, he is in agreement with Aristophanes. Alcibiades’ intense ‘love’ and ‘passion’ for Socrates is contrasted with Socrates’ dispassionate attitude towards him as a result of Socrates being in love with what Socrates calls the Beautiful rather than the ‘beautiful’ Alcibiades himself. The example of Alcibiades is used as a warning by Plato of the disaster that can result if we do not develop our eros in an appropriate way. But from what and where is this ‘appropriate way’ and how is it to be ‘appropriated’? How are we as ordinary human beings going to achieve the state of not “wanting” the things that we have come to desire and of knowing the difference between what is truly desirable and what is not? How do we develop the way of thinking that discerns this?

Since Eros is described as ‘fullness’ and ‘need’, we may look at Socrates through such a lens. As “Need”, Socrates’ outward appearance is ugly and far from beautiful; he is ‘ugly’ like Silenus, the satyr, according to Alcibiades (203 c; 215 a-b). It is ironic that Socrates puts on make up before he goes to Agathon’s symposium, and we must think about this detail in the drama that we are about to read. This is not the only ‘mask’ that he wears in that drama that he is about to participate in; Diotima is also a mask adopted by Socrates. According to Alcibiades, Socrates is “dirty and barefoot…always sleeping on the ground without blankets” (203 d, 220 b 3-5). He is “poor” and disdains material resources. He is unique and unlike any other human being that Alcibiades has encountered. The outer appearance of the ‘mask’ hides the beauty within that is far more lovelier and this is the beauty that Alcibiades is after.

Alcibiades

As “Fullness”, Socrates is a “schemer after the beautiful and the good” as he likes to be around beautiful young men, according to Alcibiades. His military actions at Potidaea and Delium suggest that he is “courageous, impetuous and intense”. (203 d) He is “passionate for wisdom and resourceful in looking for it, philosophizing all his life” since he is ceaselessly reflecting. According to Alcibiades, he is “a clever magician, sorcerer and sophist” since he charms all kinds of people with his words (203 d). Is Alcibiades referring to Socrates’ use of rhetoric or his use of dialectic? Socrates is a “daimonion” man, capable of being an intermediary or a metaxu between the divine and the human for other human beings. Socrates is capable of producing or ‘bringing forth’ true virtue and not the image of it, and this is what attracts Alcibiades to him. Socrates tries to encourage Alcibiades to gain self-knowledge and to care for his soul which in Alcibiades’ case means that he must give up his ‘love’ of the hoi polloi which Alcibiades is unable to do for it is the root of his power, and Alcibiades’ first love is power. According to Alcibiades, Socrates is a “babushka doll” with many hidden layers. Inside one Socrates, one will find another. For Socrates, Alcibiades is possibly a great man who has chosen to remain with his love for the surfaces of things.

The “lower eros” or the “pandemian eros”, the eros common to all, moves human beings to seek for a kind of immortality, an image of immortality, while the “true Eros” leads human beings to seek for a “true immortality”. The “lower eros” also leads human beings to seek for images of immortality rather than the true immortality which Socrates believes is to be found in the Good. Alcibiades is the “democratic man” who leads a dissipated life governed by an unrestrained indulgence of the appetites. The consequences of Alcibiades’ immoderation ultimately lead to his impiety and his failure to lead the Sicilian expedition which ultimately leads to Athens’ downfall in the Peloponnesian War. An undisciplined Eros can lead to the complete loss of all that one ‘loves’ and can lead to consequences far beyond one’s self. This principle is as true today as it was in ancient times.

Who and what an individual is is shown by the leading passion of their lives or their eros. For most of us, this is shown in our “love of one’s own” and in the tasks which we choose to do. Some desire “procreation” in beautiful bodies leaving the “produce” behind as offspring. Others feel the desire for immortal fame and honour in the procreative production of “works” or of deeds or of the enactment of laws.

Poets who produce images of the gods but who have no knowledge (gnosis) of the gods provide the horizons for the lives of the many who live in their “opinions” under the laws enacted by those in power. They live in the service of the Great Beast which Plato outlines in Bk VI of his Republic. Others are individuals who are destroyed by their passions giving us the essence of tragedy as will be the case with many of the participants in the drama that is the Symposium. At the time the drama of the Symposium is retold to us through Apollodorus, only Aristophanes and Socrates have survived.

The Tripartite Soul

Plato’s tripartite soul is revealed to us in Bks IV, VIII, and IX of Republic, but its principles operate throughout the whole text. The ‘appetitive’ part of the soul is called the epithymetikon and it is primarily related to the objects that are our physiological needs and these require ‘wealth’ or power or an agency of some type to be appropriated. The ‘spirited’ part of the soul is called the thymoeides, and it is that part of the soul that is primarily concerned with the polemos or strife for victory and honour or just the struggle to be alive which is the primary reason for our focus on ourselves. The thymoeides is primarily concerned with ‘will’ and ‘will to power’. The logistikon is that part of the soul which desires the revealing of truth, and with the truth the genuine Good.

What a person’s soul or character is and how it will manifest itself depends on early experience and education and which desires come to govern our lives. The development or deterioration of the logistikon or ‘noetic’ part of the soul will occur when reason is only used as a calculative tool that determines which ‘appetites’ are stronger or more intense; but this reason in itself is unable to distinguish what is really good on its own. If the appetitive part of the soul predominates, the epithymetikon, it has to calculate according to how best to meet those appetitive aspirations (see Pausanias’ speech in Symposium). When the thymoeides comes to predominate, the technological way-of-being in the world comes forward. The thymoeides part of the soul will primarily be a product of and reflect the regime which rules in our being-with-others in our communities. In all of these cases mentioned, the soul will be unbalanced.

The “philosopher” is the person who achieves the maximum development of the desire for truth and the revealing of the Good and achieves the true essence of what a human being truly is. Human beings desire truth; not to do so is to become inhumane. Where the logistikon fails, the thymoeides part of the soul comes to predominate as a desire for power and as will to power. This will show itself in the desire for wealth and the possession of goods or that which can be “consumed”. The thymoeidic part of the soul acts as an intermediary with the other two parts and is pliable enough to let either of the other two parts come to predominate.

Knowledge of the Good is a condition for knowing what the Good is for the individual as well as the community, and it is a condition of social justice and individual justice which is the self-knowledge arrived at when the individual has the sophrosyne to see the relations of the parts of the soul to the whole i.e. knowledge of the parts to the whole. This knowledge brings about a balance to the soul and allows the individual to be just. Eros (as the cosmic whole of things) is the order (necessity, Time) in which a human being comes-to-be and through his good or evil actions is punished or rewarded accordingly.

Today, we refer to the three parts of the soul as the ‘personality’. Psyche is denigrated through the use of this word. The id, ego, and superego of Freud is a characterization of the lower eros of Plato only. The “blind love” of Freud replaces the love of the Good that is the Platonic Eros, and the Platonic Eros is driven by the “intelligence”, “mind” or “spirit” which he refers to “as fire catching fire”. For Freud, love is a case of contingency and chance. For Plato, Love is that infinitesimal element of the logistikon part of the soul which transcends necessity and chance. For Plato, the human being is like a chimera which has different forms of animals molded into one, such as a sphinx. The desires of the logistikon part of the soul are what reason considers as ‘the right thing to do’ for our actions and it is often at odds with the appetitive part of the soul.

Plato’s Divided Line

The logistikon of the soul is two-faced: it is both calculative for the appetitive part which it receives from the thymoeidic part of the soul, and it has an impulse all its own which historically has been rendered as “reason”. Its calculative part reveals itself in our algebra which further becomes our way of controlling and commandeering the world we dwell in. The conflict in the soul is the manifestation of the aggressiveness and desire for victory that comes from the thymoeidic part of the soul and which can be used to fight against the appetites forming an alliance with reason or it can seek honours and victory against reason’s advice. This strife occurs in Section C of Plato’s Divided Line described in Bk VI of Republic. The choice involves our desire for immortality through love of one’s own that is the product of one’s own body or through “immortal fame”. The conflict manifests itself in that conflict that we have identified as “critical reason” and its conflict with the appetites.

The erotic “needs” to meet the physical, appetitive part of the soul i.e. drink and thirst, food and hunger and this “need” causes us to focus on ourselves only. These drives are for the objects themselves in order to “consume” them. These objects are “good” in themselves (and we call them “goods” in economics), but some are not good though they may appear to be good. The appetitive part of the soul relates to its ‘physical embodiment’, that which is subject to Necessity. The Necessary never desires the good in itself and in its blindness can choose the bad. The choice belongs only to the logistikon. The logistikon is ‘consciousness’. The “strife” occurs when the logos drives towards the good and the appetites seek objects independent of their goodness. The inability of the appetitive part of the soul to discriminate between what is good and bad is that it cannot establish a “limit” by itself but needs the logistikon with its desire for the good if it is to establish the appropriate limit.

The drive towards what the logos considers good and the appropriation of the goods that are the desires of the appetites is decisive for each human being because it determines what is to be done at a certain moment, which desires will lead our lives, and whether or not we become lovers of truth and whether we are able to get closer to the genuine Good. It is how we participate in justice.

The Soul and the Regime: Republic Bks IV, VIII and IX

Bk IV of Republic discusses the soul’s “physical embodiment”, its attachment to Nature and its significance as a mirror of the political order which surrounds it. In the Symposium, the speaker Phaedrus represents this level of the soul as it relates to eros. Phaedrus’ speech shows his membership in the oligarchic, timocratic social class to which he belongs. He is today’s “literary aesthete.”

Phaedrus’ name is significant in its meaning: it derives from the original Greek word phaino, which was one of the original names of Eros. The Greek word “phainesthai” (φαίνεσθαι) means “to seem”, “to appear”, or “to be brought to light”, thus it is associated with the Greek idea of “truth” (aletheia) but only with the truth’s idea of “seeming” to be true as “presence” (ousia) or appearance. It is the passive form of the verb “phainein” (φαίνω), which means “to show” or “to make appear”. Essentially, “phainesthai” describes something that appears to be or that is revealed but may not be really there.

These namings are significant in their relation to the epithymetikon part of the soul: the individual is led to the “appearance” or the “seeming” of that which, at first, appears to be good or beautiful. The “making” of the technites in the city will be of such a nature that they will use the images and representations given to them by that which is in order to bring into being things that are unnecessary needs for the soul and for the city. This is the underlying idea behind Socrates’ censorship of the poets from his ideal city, for the poets promote freedom as ‘license’ rather than freedom as thoughtful contemplation. Since Plato was a poet himself, we may presume that not all poets are included in this prohibition but only some types of poets. The Imagination as outlined by Plato in the Divided Line may be said to indicate the two-faced nature of the Logos: the imagination as a kind of thinking done by the lesser poets and technicians, and the Divine Imagination as used by the great poets (such as Plato himself) and the philosophers.

For Socrates, the analogy of the city and the individual (435a-b) proceeds from the three analogous parts in the soul with their natural functions (436b).  The four virtues of the individual (by which “human excellence” is defined) are also shown in the polis by its organization. By using instances of the polemos or conflict in the soul, he distinguishes the function of the logistikon or thoughtful part from that of the epithymetikon or appetitive part of the soul (439a).  Then he distinguishes the function of the thymoeidic or spirited part from the functions of the two other parts (439e-440e).  The function of the logistikon part is the two-part thinking understood as rational calculation and as meditative, reflective, thankful consciousness. The spirited part, the thymoeides, is the two-fold experience of emotions driven by rage and anger or the care and concern that is love and the sense of otherness. That of the appetitive part or epithymetikon is the pursuit of material and bodily desires, the pursuit of beauty’s “surface”. Since this pursuit is the root cause for the creation of the city itself, it becomes a question of how this pursuit will be carried out as it is given in the city’s laws.

Socrates explains the virtues of the individual’s soul and how they correspond to the virtues of the city (441c-442d).  A well-ruled city reflects the well-ruled souls of the individuals that comprise it. As a corollary, the poorly ruled city will be shown in the nature of the individuals who rule it and who are members of it. Socrates points out that one is just when each of the three parts of the soul performs its function (442d).  Justice is the natural balance of the soul’s parts in performing their functions, and injustice is an imbalance of the parts of the soul in the subsequent actions that the individual carries out. (444e).  With imbalance in the soul comes a subsequent loss of a sense of otherness. Socrates is now ready to answer the question of whether justice is more profitable than injustice that goes unpunished (444e-445a).  To do so he will need to examine the various unjust political regimes and the corresponding unjust individuals in each (445c-e).

Socrates is about to embark on a discussion of the unjust political regimes and the corresponding unjust individuals but is prevented from doing so by Adiemantus and Polemarchus. He will return to this topic in Bk VIII. Instead, Socrates discusses the role of women as guardians and the need for the “ideal city” to sever ties to love of one’s own (which is an indication of the first of the impossibilities of the creation of the lower eros-free state and the possibility of its coming into being). The imposition of Polemarchus and Adiemantus is an indication of our need to compromise with the being of others in our worlds. One needs to also consider the relation between the ideas contained in the numbers 5 and 8 when reflecting on the content that is being discussed in both Bks V and VIII of Republic since the numbers as ideai will illuminate the content being discussed.

An example of the imbalanced soul is given through the story of the Ring of Gyges from Bk II of Republic. The story is related by Glaucon, the very “erotic” older brother of Plato, who is himself an “imbalanced soul” at the time of the dialogue. The purpose of the Republic is to instruct him. The premise of the story of Gyges is that we only act justly because we fear punishment should we not do so. Acting justly is not a good thing in itself. The ring gives one the “gift” of invisibility and anonymity. The ring provides one with the “ability” to dismiss one’s responsibility for one’s actions and thoughts, one’s words and deeds. It creates a gulf in the soul between one’s words and one’s deeds.

This “overlooking” of responsibility may be seen as analogous to what we understand as “intentional ignorance” which appears to be exacerbated by the “anonymity” that some believe the Internet provides today. “Intentional ignorance” can be seen as both a failure of the “imagination” (as outlined by Plato in the Divided Line) due to the lack of self-knowledge and an ironic desire for the “15 minutes of fame” that public recognition provides them. In the modern, 15 minutes is the best we can do, not believing eternal fame or glory are possible.

The belief in the anonymity which some think the Internet provides has given rise to those imbalanced souls being given a voice which allows them to obscure and obfuscate the truth regarding the real world about them, and this imbalance carries over to their being-in-the-world or worlds which they happen to construct and occupy. The avoidance of the recognition by many Christians (or those who wish to call themselves Christians such as J. D. Vance and the MAGA Christians in the USA) of the immorality of their immigration policies is an example of this “intentional ignorance”. This ignorance allows one to retain a belief in their own moral imperfections in spite of the Christian call to perfection (the cruelty, the racism, the inhumaneness of their dehumanization of their fellow human beings). Their evil is the outcome of self-deception and their lack of self-knowledge.

This intentional ignorance opens the door to lawlessness and licentiousness. Human beings who have become ensnared in this way of being-in-the-world behave irrationally and incoherently wherever the social, collective emotions rule. The social prestige that is given to a position of power becomes predominant in one’s desiring. One’s crimes and sins, one’s “stupidity”, are disconnected. “Stupidity” is a moral not an intellectual phenomenon. The metaxu, the eros, is destroyed. The metaxu as justice consists in establishing relations and connections between analogous things identical with those between similar terms, even when the things concern us personally (one’s own) and are an object of attachment for us. This is what the geometry of the “dialectical” purification of the logistikon is all about. It involves an act of will and an act of choosing.

In Bk VIII, the soul’s being with others in communities and its sense of justice is the focus of discussion. The first deviant regime from just kingship will be timocracy, the regime that emphasizes the pursuit of honor rather than wisdom and justice (547d ff.). The aristocratic individual, whose thymoeidic part of the soul is primarily concerned with honour and fame, becomes the oligarchic individual due to the soul’s desire for wealth over honour and fame. Wealth is more easily attained than honour and fame.

The oligarchic soul devolves into the democratic soul when the desires of the appetites come to predominate. The democratic soul then becomes the tyrannical soul. The order of the regimes presented is a descent of the soul of the individual and of the eros of that soul. The timocratic individual will have a strong spirited part in his soul and will pursue honor, power, and success (549a).  This city will be militaristic.  Socrates explains the process by which an individual becomes timocratic: he listens to his mother complain about his father’s lack of interest in honor and success (549d).  The timocratic individual’s soul is at a middle point between the logistikon and the thymoeidic or spirited part of the soul.

Oligarchy arises out of timocracy and it emphasizes wealth rather than honor (550c-e).  Socrates discusses how it arises out of timocracy and its characteristics (551c-552e): people will pursue wealth; it will essentially be two cities, a city of wealthy citizens and a city of poor people; the few wealthy will fear the many poor; people will do various jobs simultaneously; the city will allow for poor people without means; it will have a high crime rate.  The oligarchic individual comes by seeing his father lose his possessions and feeling insecure he begins to greedily pursue wealth (553a-c).  Thus he allows his appetitive part to become the more dominant part of his soul (553c).  The oligarchic individual’s soul is at middle point between the spirited and the appetitive part.

Socrates’ discussion of democracy illustrates its relation to the epithymetic part of the soul.  Democracy comes about when there is a gap between the rich and poor; the rich become too rich and the poor become too poor (555c-d).  Too many unnecessary goods and desires make the oligarchs soft and the poor revolt against them (556c-e).  In a democracy most of the political offices are distributed by lot (557a).  The primary goal of the democratic regime is freedom understood as license (557b-c).  People will come to hold offices without having the necessary knowledge (557e) and everyone is treated as an equal in ability (equals and unequals alike, 558c), and incompetent individuals will feel themselves entitled to offices for which they have no ability or fittedness. The democratic individual comes to pursue all sorts of bodily desires excessively (558d-559d) and allows his appetitive part to rule his soul for he is without limits.  He comes about when his bad education allows him to transition from desiring money to desiring bodily and material goods (559d-e).  The democratic individual has no shame and no self-discipline (560d).

Tyranny arises out of democracy when the desire for freedom to do what one wants becomes extreme (562b-c).  The freedom or license aimed at in the democracy becomes so extreme that any limitations on anyone’s freedom seem unfair.  Socrates points out that when freedom is taken to such an extreme it produces its opposite, slavery (563e-564a).  The tyrant comes about by presenting himself as a champion of the people against the class of the few people who are wealthy (565d-566a).  The tyrant is forced to commit a number of acts to gain and retain power: accuse people falsely, attack his kinsmen, bring people to trial under false pretenses, kill many people, exile many people, and purport to cancel the debts of the poor to gain their support (565e-566a).  The tyrant eliminates the rich, brave, and wise people in the city since he perceives them as threats to his power (567c). 

Socrates indicates that the tyrant faces the dilemma to either live with worthless people or with good people who may eventually depose him and chooses to live with worthless people (567d).  The tyrant ends up using mercenaries as his guards since he cannot trust any of the citizens (567d-e).  The tyrant also needs a very large army and will spend the city’s money to obtain it (568d-e), and he will not hesitate to kill members of his own family if they resist his ways (569b-c).

Bk IX discusses the differences between the tyrannical and the philosophic soul. Socrates begins by discussing necessary and unnecessary pleasures and desires (571b-c).  Those with balanced souls ruled by the logistikon are able to keep their unnecessary desires from becoming lawless and extreme by imposing limits (571d-572b).  The imposition of limits is done through the logistikon. Today, this tyrannical aspect of the soul is manifested in our desire for the “novel”, the “new” and in our creation of unnecessary desires.

In Bk VI of Republic Plato, in his discussion of the Divided Line, shows that the “know how” of the artists (poets) and technicians (scientists) devolves from the production or bringing forth of the products of their expertise to the bringing forth of ‘novelty’ or the ‘new’ with regard to those products in order to satisfy the desires of the appetites of those individuals who have bowed down to their tyrannical natures. The lust for the ‘new’ imposes itself on the eros of the poets and scientists so much so that it becomes a form of enslavement to production itself for its own sake. In the Republic, the search is for a form of thinking that will rise above this enslavement to the calculation of pleasures directed to the satisfaction of the desires and appetites that have been created. The tyrannical individual feels a sense of entitlement to the possessing of these objects of pleasure through wealth or other means.

The tyrannical individual comes out of the democratic individual when the latter’s unnecessary desires and pleasures become extreme; when he becomes full of the lower form of Eros or lust for power (572c-573b).  The tyrannical person is mad with lust (573c) and this leads him to seek any means by which to satisfy his desires and to resist anyone who gets in his way (573d-574d).  Some tyrannical individuals eventually become actual tyrants in the various worlds in which they happen to be (575b-d).  Tyrants associate themselves with flatterers and are incapable of friendship because they are incapable of “dialectic” having lost contact with the logistikon parts of their souls. (575e-576a). The loss of a sense of otherness leads to an imbalance that results in a loss of any sense of justice.

Applying the analogy of the city and the soul in Bk IX, Socrates proceeds to argue that the tyrannical individual is the most unhappy individual (576c ff.).  Like the tyrannical city, the tyrannical individual is enslaved (577c-d), least likely to do what he wants (577d-e), poor and unsatisfiable (579e-578a), fearful and full of wailing and lamenting (578a).  The individual who becomes an actual tyrant of a city is the unhappiest of all (578b-580a).  Socrates concludes this first argument with a ranking of the individuals in terms of happiness: the more just one is the happier (580b-c) for he possesses a sense of otherness.

Socrates distinguishes three types of human beings: one who pursues wisdom (the philosopher, driven by the logistikon part of the soul), another who pursues honor (the individual driven by the thymoeidic part of the soul), and another who pursues profit (those who are driven by the epithymetic part of the soul) (579d-581c).  He argues that we should trust the wisdom lover’s judgment in his way of life as the most pleasant, since he is able to consider all three types of life clearly (581c-583a). Those who live the other types of lives are lacking in self-knowledge and do not know who they are. Because they do not know who they are and in their “intentional ignorance”, like Gyges, they have divorced themselves from any responsibility for the acts they do and they commit acts of evil ‘unknowingly’ for they are unable to distinguish the necessary from the good.

In his third argument regarding the happiness or unhappiness of the tyrant, Socrates begins with an analysis of pleasure: relief from pain may seem pleasant (583c) and bodily pleasures are merely a relief from pain but not true pleasure (584b-c).  The only truly fulfilling pleasure is that which comes from an understanding that sees the objects which it pursues as permanent, that is, a way of being-in-the-world that moves beyond the images of that which is impermanent to the forms and ideas of that which is permanent (585b-c).  Socrates adds that only if the logistikon part rules the soul will each part of the soul find its proper pleasure (586d-587a). 

He ironically concludes the argument with a calculation of how many times the best life is more pleasant than the worst: seven-hundred and twenty nine (587a-587e) or 9 to the third power (9 x 9 x 9 or 999).  This calculation outlines the difference between the Logos as number as we understand it in arithmetic, and the Logos as number understood as idea. Socrates discusses an imaginary multi-headed beast or chimera to illustrate the consequences of justice and injustice in the soul and to support justice (588c ff.). The physical characteristics of the soul and its desires produce a multi-headed hydra which the soul can vary and produce from out of itself. The bestial urges of the soul are the multiple appetites which constitute it. (See Blake’s illustrations of The Beast from the Sea.) The chimera which is the human soul in Bk IX is akin to, but not the same as, the Great Beast of Bk VI. The Great Beast of Bk VI (his number is 666) is the ‘social’ towards whom the political is directed while the beast of Bk IX is the individual soul of all human beings.

Education and the Training of the Soul

“Spiritedness” (anger, wrath, rage, emotions generally) is aligned with the logistikon in its polemos or strife against the appetites in its decisions on what is “the right thing to do” in order to defeat the urges of the appetites by imposing limits on them. The “spirited” part of the soul predominates when the lower part of the logistikon, that part which calculates, is ruling over the appetites. The calculations deal with the intensities of the pleasures which the appetites can give rise to. Today, what we understand as our technological way of being-in-the- world originates the activities that we pursue from the influence of the thymoeidic part of the soul. What we understand as evil originates in the thymoeides part of the soul, but human excellence also resides there.

Training the appetites is one of the aims of childhood education through the stimulation and weakening of the desires and wants in appropriate ways. The intention is to try to make sure that the individual can overcome the focus on the self in order to gain a sense of otherness and be able to participate in justice. The tyrant has released his lawless appetites not in dreams but in life: he is a “wolf”. The tyrant requires lawlessness in order to better achieve his ends. We are all potential tyrants. Unnecessary appetites can be gotten rid of in most cases. The creation of unnecessary appetites is the eros of the democratic regimes ruled by oligarchic capitalists who engage in these activities in order to increase their power through wealth. These unnecessary appetites show up as the desire for ‘novelty’ or the ‘new’ in the creation of ‘wants’ that are unnecessary for the human being.

The “timocratic man” becomes desirous of wealth and the possession of material things when he has found that the search and struggle for human excellence in itself is too difficult and he is too timid to achieve it in military campaigns. This love of possessions (the lowest form of “love of one’s own”) focuses on the “consumption” of the beauty of those things. The consumption of beauty is driven by the misguided belief that somehow one can find “immortality” through the possessions themselves. The corruption of an aristocratic regime and its descent to an oligarchic regime is due to the admission of the desire for wealth by its rulers: “He (the aristocratic man) secretly runs away from the laws like a child from his father” (549 a-b).

The love of wealth develops from the lack of a “musical education” in childhood, and the lack of a musical education then requires training by “force” and not “persuasion”. “Musical education” is contact with beauty and goodness, the mathemata (what can be learned and what can be taught) or what we understand as “reality”. Without training in “geometry” (“music”), the appetites grow without limits, especially the desire for wealth.

The logistikon part of the soul is trained through music (mathematics, geometry). The child is to receive ‘right stories’ in order to inculcate ‘right beliefs’. In democratic regimes, these stories are directed towards a sense of “entitlement” to the satisfaction of unnecessary appetites. “Democracy” has its evolution in this desire for wealth: the unnecessary appetites, created by the artisans and technicians, come to predominate. Power is the root of all evil and is most manifest in the desire for wealth. All worthy opinions and appetites are destroyed and the tyrant emerges. The philosopher and the tyrant are on opposite poles.

The thymoeides part of the soul, which has “anger” as a chief emotion and aggressiveness to confront the dangers of the world, is where andreia or will is to be found, and the will can be directed by will to power or the love of wisdom. For the Greeks, andreia is an episteme or way of knowing, so animals cannot have it. How is will connected to the logos?

At 588 d in Republic, the soul is depicted as a lion. The lion seeks and desires renown and predominance. “Spiritedness” is the desire for victory. It is “irrational”. It is the desire for competitive success and the esteem from others and oneself that comes with it. The tendency to form an ideal image of oneself in accordance with one’s conception of what is fair and noble requires social recognition to be confirmed. But this image is a false image of “self-knowledge”. This error is the reason so many individuals become involved in cults or movements that erase the hope of attaining a true sense of “self-knowledge” or “consciousness”. The “spirited” nature is incapable of discerning the good and the bad on its own and so attaches itself to the changeable, the physical. It makes the logos hold false opinions and judgements. The “uneducated” spirited nature becomes hard and ruthless instead of brave. At the same time, “artistic education” must be combined with sports so that the person does not become too soft and gentle. The greatest crimes are performed by natures of great eros in the thymoeidic part of the soul, but these natures are corrupted by deficient education which is usually the inability to impose limits on the epithymetikon part of the soul through the logos. The logos as rhetoric (the language of the masses) appeals to the thymoeidic and epithymetic parts of the soul.

The desire for wealth is the root of the appetitive part of the soul when it is “unlimited” by the logos. If knowledge does not confer honour, it is worthless. This gives importance to rhetoric as the logos of the timocratic, oligarchic and democratic man. Flattery and meanness of spirit result from subjecting the “spirited” soul to the “mob-like beast” (590b 3-9). With the desire for money and the constant satisfaction of the beast’s needs, the spirited element gets used to being trampled on so that it turns into a monkey instead of a lion. A sense of “victimization” results.

The two-fold nature of the thymoeidic part of the soul might be captured in the phrase “the call to arms”, for the call can be either the call from another human being whose beauty attracts one, or it can be the call to attain renown and glory in military deeds. Without proper training, the “spirited” part of the soul will behave in a beast-like way i.e. “irrational”. The logos is not merely reason as calculation. This is but one face or aspect of the two-faced Logos which relates to the two-faced Eros. The lack of moderation (sophrosyne) gives the terrible creature, the great beast with many heads, too much freedom (590 b). The individual is a microcosm of the polis of which he is a member and a further microcosm of the universe of which he is a part.

The epithymetikon part of the soul, because it is unlimited and seeks the satisfaction of unnecessary desires and appetites (what we would call “novelty” today) pulls the soul in their direction. Even in the best souls, the best one can do is to contain the appetites through the measuring of the logos and its imposing of limits. The appetites do not help the soul in its attempts to obtain the good.

If the “spirited” part of the soul is aptly trained by participation in “sports” and the logos trained “musically” to perceive the harmony of “right opinion” for what is good and what is not, what is honourable and what is not, what is worth fighting for and what is not, what is to be feared and what is not, “spiritedness” can then help the logistikon to achieve both individual and political goods founded on an understanding of reality (self-knowledge).

Courage is the knowledge of what is to be feared and what is not to be feared. The pull of the appetites towards bodily pleasures is what is to be feared most of all for it can become obsessive. It is destructive of right education which teaches right opinions and is destructive of the logos/logistikon as a whole. The highest courage is required for ‘gnostic’ knowledge of the Good which will give knowledge of political good as well as self-knowledge.

Animals have a kind of ‘rationality’, but it is not the rationality that reflects and calculates. The “aristocratic man” who lacks the right “musical education” and who is highly “spirited” does not have the “consciousness” to distinguish good from bad, true from false, and considers fighting and winning as ends in themselves. He has a distorted understanding of reality as a whole. The logos is in contact with the things that change and this leads to false judgements about what is honourable and what is not. The aristocratic man does not fight against real enemies i.e. the appetites and the enemies of the polis. The logos is poorly developed and the appetites are not trained to stay within ‘limits’. When this occurs, the person becomes wild and savage, a “beast”. The oligarchic, democratic and tyrannical men who have no “musical” training are incapable of restraining the appetites to stay within limits for they are overwhelmed by a need for will to power and do not remain within the limits of the necessary. The person becomes a ‘coward’. The timocratic man becomes psychologically unstable and becomes a lover of wealth. The overdevelopment of the appetites in the timocratic man are not governed by the logos. The environment provides the wrong conception of what is good.

The will that fights for victory and fame without the direction of the logos becomes pure savagery; and its corruption, weakened by the appetites, becomes a lover of wealth. With the proper training, the will becomes an ally of the logos in the search for truth and the Good. Courage is the manifestation of proper training supporting the right beliefs which are to be able to identify what is to be feared and dared. The most fundamental fight is that against the appetites.

The Logos/Logistikon

The logos is that through which we learn, reason and judge. It is most broadly what we understand as word and number. As word it encompasses rhetoric (the speech to many) and dialectic (the speech to a few). As number it encompasses number as calculation (arithmetic, algebra) and as geometry (mathemata that which can be learned and that which can be taught). Its dual aspects allows it to become an ally of the thymoeides in its making judgements regarding what is good or what is bad.

“Dialectical knowledge” (gnosis, Love) is the highest knowledge achievable. The logos is common to all human beings. It manifests itself in the desire for love and friendship. “Knowledge” exists in all of us, as do the appetites and the desire for recognition of our selfhood. What is understood as “reason” is a particular form of desire, a desire that compels the individual into finally achieving contemplation of the form of the Beautiful through to the idea of the Beautiful itself.

In its urging towards an ascent, Eros’ affect is to make us love the light and truth and hate darkness and falsehood. Care and concern for others and our sense of “otherness” develops from Eros’ erotic urge. This is what we understand as justice and is our participation in justice. Justice is experienced in both the thymoeidic and logistikon parts of the soul when these parts are in balance and are effectively carrying out their work. The ascent from the individual ego and its love of the part, experienced in the love of a single, beautiful other, to a knowledge of the whole and the love of the whole of things is a process that the immortal part of the soul (logistikon) undergoes in its journey towards “purification” from the love of the meeting of our own necessities and urges to the love of the Good. The tyrannic and democratic soul wishes to possess and consume all that comes before it. “Depth” arises from the ascent which is toward the centre of the sphere in the illustration provided. The descent brings about our desires for the surfaces of things, which is the lower form of eros. This descent is towards the outer circumference of the sphere. Evil is a “surface phenomenon” and eros is a part of it.

Afterword to the Commentaries on the Sefer Yetzirah and “The Thirty-two Paths of Wisdom”

Some Notes on Republic, Symposium and Phaedrus and Their Relation to the Texts

Bk VI 505e: “(The Good is) what every soul seeks, the motive of all its actions, whose importance is sensed, but the soul, being at a loss, is unable to completely grasp its essence. Thus, concerning the good, the soul cannot have a firm belief as it has about everything else. This is the reason why the soul lacks other things also, and the usefulness which they may have.”

The Sefer Yetzirah, or Book of Formation appears to rely on the ideas and concepts of Plato, Aristotle, the Stoics, and the geometry and numerology of the Pythagoreans which its writers most likely discovered in the discussions with the Neo-Platonists, Stoics, and the early Hebrew Kabbalists. The Hebrew Kabbalists used this knowledge to understand its own esoteric interpretation of the Torah. Both Plato and the Sefir Yetzirah compare the love of the good which is always in us, to the power of sight; and the revelation of good is compared to “light” or “sunlight”. From this concept of the good as light or sunlight, the metaphorical description of the manner in which the soul is urged to pursue a particular path (such as are described in “the paths of wisdom”) is rooted. We find these metaphorical expressions in the Sephirot Netzach (Splendour) and in the Tarot card The Chariot #7. They refer to what “human excellence” is, what the completion of the human being should be.

Bk VII 518b: “The instruction (education) (of the soul) is not what some declare it to be. For they affirm that knowledge, not being in the soul, they will put it there, as if one might put sight into blind eyes. Whereas the theory which I will expound teaches that the faculty of understanding, and the organs of the faculty, is innate in the soul of each one. But it is as if one were unable to turn one’s eye towards the light, away from the darkness, without turning the whole body. Likewise, it is with the whole soul that one must turn oneself from what is becoming (temporal) until the soul becomes strong enough to endure the contemplation of reality, and all that is most luminous in that reality; which we have already declared to be the good.

The art of the turning around of the soul consists in this, that it is the easiest and most efficient method of bringing someone to turn around. This is quite a different thing from a method for putting sight into the soul, which we know it already has. But that sight is not well-directed, and it does not look where it should. It is this that the soul must find a means to learn.

Many commentaries on the Sefir Yetzirah equate the soul with the “personal self” or “ego”, the “personality”, the individual, but it is these aspects of human beings that are precisely those that indicate human beings’ “deprivation” or “absence” of the good and are at the root of the “urges” to discover the good or to fulfill those “needs” that human beings constantly feel. What is called “egoism” is a defect of perspective, a defect in the viewing or sight. How an individual views the world, how they perceive the arrangement of the world from the point where they are in time and space, determines for them what they will consider to be the good or evil of things. The murders of the six million that took place during the Shoah or Holocaust during WW2 hardly alters the order of the world as they perceive it, but if a colleague should get a slight raise in pay while they do not, or a fellow receives an “A” when they have been given a “B”, then the order of their world is turned upside down for them! This is not egoism or “love of self” but an indication that human beings as finite beings only apply the idea of a legitimate order to the immediate domains of their hearts.

As is indicated in 7th Sephirot Netzach, (and in the Chariot card #7 in the Tarot, as well as in Bk VII of Plato’s Republic), the individual human being has the power of choice of transposing their heart to where their treasure is. (For as Christ said: “Where your treasure is, there will your heart be also”. Matt: 6:21). We see human beings who are absolutely devoted to another human being, to a wife, a child, to a party, to a nation, to whatever collectivity, to no matter which cause. This is not “egoism” or “love of self”. This is part of the erroneous perspective to which both Plato and the Sefer Yetzirah refer. The “treasure” has been misplaced. This is not to say that the things mentioned above are not “good”; it is to say that they are not The Good. The reason why there are only a few saints and philosophers is that ordinary human beings find it impossible to give up a “love of one’s own” for a love of the Good.

The Great Beast of Bk VI of Republic (or the Devil card which I have numbered #16 of the Tarot) is human society and any collectivity contained within that society. The Beast’s likes and dislikes are studied and assembled into treatises on virtue (human excellence) and morality by the human beings who have charge in caring for him (The Hierophant card #5 in Tarot is the caretaker of the Beast in whatever form he manifests himself). What the Beast approves is good; what it disapproves of is evil. In the tradition, the Beast has been called the Anti-Christ, but we may gather a sense of the Beast’s possible greater impact if we refer to it as “the Anti-Eros”, for there is something definitely anti-erotic in our will to technological mastery of the world, a will that will ultimately lead to the loss of Eros and of something essential to our being as human beings. That which the Beast thinks is just and beautiful are those things that are necessary (the connection between power and force) being incapable of seeing or showing others to what degree the essence of the necessary differs from that of the good. For both Plato and the Sefer Yetzirah, to perceive the true morality requires the intervention of a god:


Bk VI 492e: “For a character (“person”, “individual”) receiving an education contrary to theirs does not, has not, and will not become differently disposed toward virtue, a human character that is, my friend, for the divine, according to the proverb, let’s make an exception to the argument. You should be well aware that, if anything should be saved and becomes such as it ought to be in regimes in this kind of condition, it won’t be bad if you say that a god’s dispensation saved it.”

We all choose for treasure those “values” that have their root in social prestige. The power that is rooted in social prestige is illusion; it is but “shadows”. This is why social prestige is the second temptation of Christ i.e., it is in the hands of the Devil, the Great Beast. (Luke 4:5-8)


“Then the devil took Him up and revealed to Him all the kingdoms of the world in a moment of time. ‘I will give you the glory of these kingdoms and authority over them,’ the devil said, ‘because they are mine to give to anyone I please. I will give it all to you if you will worship me.’ Jesus replied, ‘The Scriptures say, ‘You must worship the LORD your God and serve only Him.’” The root of the second temptation is the desire or “urge” for social prestige. The shadows on the wall of the Cave are provided by the technites who produce them. The technites are the leaders of the social institutions, the caretakers and tenders of the Great Beast.

There is a difference between illusion and convention. Conventions have a reality of a secondary and artificial order in both Plato and the Sefer Yetzirah. It is convention, for example, which provides the “good” of the office of the Presidency of the USA, but it is also convention which results in the error of Capitol being referred to as a “sacred chamber”. There is, of course, nothing “sacred” about it as the corruption, immorality and injustice of its members provide evidence regarding this every day. In all human institutions (indicated in the Sefer Yetzirah under the pillar of Boaz), there are images of the spiritual world of Atzilut and Beriyah but these “representations”, these various types of ‘clothing’ and models, derive their power from the prestige associated with them.

The desire for prestige, whether recognized or not, is at the bottom of most of our “urges”, including those we may have for other human beings. It is the desire for recognition and prestige which is at the heart of religious fundamentalism, political fanaticism such as “nationalist” movements, and the popularity of our social media. This urge in human beings for social prestige is why Plato compared statesmanship to “legislating for a madhouse”.

The beauty that shows forth as social prestige is a false beauty and it is associated with the “kingdom” that is Malkhut in the 10th Sephirot. It is a beauty ruled over by the Devil #16. It is the “reflected light” of the Moon and not the true light of The Sun that is in Tiferet #6. Malkhut is the only Sephirot on the Tree of Life that is not in a relation to or touched by Tiferet. Plato knew that real and perfect Justice must be without social prestige. A person who is persecuted and criminally charged for their loyalty to a cause, to a collectivity, to an idea, or to a faith for national, political or religious reasons, does not undergo a total loss of prestige, and in some cases are transformed into martyrs and heroes for their causes or beliefs. All of these things and events are ruled over by Necessity and illusion.

When the Sefir Yetzirah speaks of the “assimilation” of the individual soul into the Divine Soul, or into the various Sephirot, this assimilation should be understood in a Pythagorean sense i.e., it is an assimilation understood as “resemblance”. We may compare it with two different maps with two different scales wherein the distances are different but the relationships are identical. “Assimilation” is a geometrical term which refers to the identity of relationships, to proportion. Assimilation into the Divine is one of proportion. No proportion is possible between human beings and the Divine except by mediation. The perfectly just man that is Tiferet #6 is the mediator between the “righteous” and the Divine.

The rupture that is present between appearance and reality is the experience of the “absence” or deprivation of the Good or the Divine. Because we are beings in bodies, assimilation to the Divine is prevented or hindered by our choosing of those “treasures” that are false. True vision is only possible through the intervention of the Divine through Grace. We ourselves are incapable of merely “gazing” and not “consuming” that which we gaze upon. It is most difficult for us to give up the common sense ‘love of our own’ for the higher perfection.

In the Sefer Yetzirah, the Sephirot Yesod #9 is the “foundation” for what we refer to as “carnal love”. The desire or urge for reproduction is what is most indestructible in animal life; we call it the “survival of the species”. The desire for eternity (immortality) in us goes first to this error of the material image of eternity. The urge for carnal procreation is aroused by beauty. Today, we have separated sexuality and procreation from the desire for children, the desire for immortality (or what we see as our best and only option for an image of immortality), and we view sexuality as the enjoyment of the pleasure of the moment. This separation of sexuality from procreation places us on an abyss poised above the very gates of hell itself. Correspondingly, spiritual beauty excites a desire or urge for spiritual generation. Thus, love is the source of virtues, understandings, and works of the spirit. (This is its association with the Sephirot Binah.) Love is the source of “world”. However, in the world today there is a great gap separating that thinking where the intelligence is illuminated by love. This gap is shown where reason is that thinking that is supposed to illuminate the world before us. This is the interchange of Logos and Eros.

Symposium 211b – 212b “He who undertakes the contemplation of this beauty has very nearly attained to perfection…he knows at last what beauty is. Do you believe that the life of a man who searches into such a matter, who uses the appropriate organ to contemplate and to unite himself with it, can be mediocre? Consider this, what we have here is the only being who sees the beautiful with that faculty capable of seeing it. To him it will be given to beget, not sham virtues, for he has not laid hold upon a phantom, but real virtues, because he has laid hold on the real. And in creating and nourishing true virtue, it is accorded to him to be the friend of the god; and if ever a man become immortal, that man will become so. In this work it would be difficult for human nature to find a better collaborator than Love.”

In the Sefer Yetzirah as in Plato’s Symposium and Bk VII of Republic (and with card #7 The Chariot in the Tarot), we are dealing with the spiritual marriage of the soul with the beautiful, by the grace of which the soul truly begets virtues, or that which is excellent in human beings. The Beautiful is not a predicate of any thing, nor a category or an attribute. It is subject itself. With Chakmah and Binah, the beautiful “is itself, by itself, with itself” and is thus the parousia which represents two relationships within a unity. The Beautiful is the arche (the first principle), the aitia (that which is responsible for) and telos (the place or site) for the being that is finite i.e., human being.

The Symposium is a dialogue composed of seven parts, each part representing an ascent to a higher level which, ultimately, collapses with the entrance of a drunken Alcibiades, that most passionate and imprudent of human beings. It is a dialogue which is being told for the third time and relies very heavily on Memory as none of those “present” in the dialogue were actually at the symposium or banquet itself. On the second telling, the person receiving the dialogue is Glaucon, Plato’s brother, who also receives from Socrates the dialogue that is present in Bk VII of Republic. Both dialogues are from the time of the 4th century BCE, three centuries prior to what the scholars agree was the time of the writing of the Sefer Yetzirah.

In both Plato and the Sefer Yetzirah, he who contemplates Beauty itself has almost reached the goal. In the allegory of the Cave, the object of contemplation immediately before the Sun is the Moon. Prior to this, the light from the fire of the artisans and the technicians is that through which things are dimly seen. The Moon is the “reflected light” of the Sun; and in the Sefer Yetzirah, it is the “reflected light” of the kingdom of Malkhut. The Sun is the Good; the Moon is associated with the beautiful. Tiferet #6 is the supreme beauty; Netzach is where is found the lower forms of the beautiful. (The Moon: the myth of Osiris, a bull whose horns are the shape of a crescent moon [the High Priestess Tarot card #2, Isis, the bride of Osiris]. Osiris’ body is divided into 14 parts, the number of days separating the full moon from the new moon. Isis gathers and assembles 13 of these, the number of lunar months in the year. Isis = Demeter, Chakmah to Binah, the mother goddess of the Earth. The ascent must go via the Moon.)

Absolute beauty is seen with “supernatural” sight. After a long spiritual preparation (which is the journey through the Tree of Life), one has access to it by a revelation, a “rending of the veil” that is drawn over the beautiful things that come into being and pass away. It is in the Sephirot Netzach that one finds the veil drawn over things. The Love that is supernatural Love allows one to place one’s “treasure” and heart beyond the reach of all evil. No evil does harm to the Good. The order of the stages or paths enumerated by Plato: from sensible beauty to the beauty of souls i.e., moral beauty, the splendour of virtue (note the paths that speak of the “splendour” in “The 32 Paths of Wisdom”). We praise actions that touch us with “That is beautiful” which indicates the relation of the beautiful with the just. Virtue only touches us insofar as it is beautiful. How are these two analogous? i.e., social institutions and necessity; social relations and harmony? The Pythagorean idea of harmony as the union of contraries: the combination of that which limits (Binah) and that which is unlimited (Chakmah). Pythagorean geometry is a method of meditation and prayer.

For Plato, we are capable of seeing the Beautiful Itself here below. It is accessible to the human senses. The beautiful is made manifest to the human senses through the beauty of the world. The beauty of the world is the Divine’s own beauty just as the beauty of the body of a human being is the beauty that belongs to that being. Our “absence” that we experience as human beings is that we are incapable of distinguishing between “gazing upon” and “consuming”, and in our desire to possess through consumption, we commit sin.

*This long excerpt below from Plato’s dialogue Phaedrus shows the process of initiation in the individual soul. From it, one can see the teaching of the Sefer Yetzirah and “The Thirty-two Paths of Wisdom” and their relation to the Tarot.

Phaedrus 246e – 250d Now the great leader in heaven, Zeus, driving a winged chariot, goes first, arranging all things and caring for all things. He is followed by an army of gods and spirits, arrayed in eleven squadrons; Hestia alone remains in the house of the gods. Of the rest, those who are included among the twelve great gods and are accounted leaders, are assigned each to his place in the army.

There are many blessed sights and many ways hither and thither within the heaven, along which the blessed gods go to and fro attending each to his own duties; and whoever wishes, and is able, follows, for jealousy is excluded from the celestial band. But when they go to a feast and a banquet, [247b] they proceed steeply upward to the top of the vault of heaven, where the chariots of the gods, whose well matched horses obey the rein, advance easily, but the others with difficulty; for the horse of evil nature weighs the chariot down, making it heavy and pulling toward the earth the charioteer whose horse is not well trained. There the utmost toil and struggle await the soul.

For those that are called immortal, when they reach the top, [247c] pass outside and take their place on the outer surface of the heaven, and when they have taken their stand, the revolution carries them round and they behold the things outside of the heaven. But the region above the heaven was never worthily sung by any earthly poet, nor will it ever be. It is, however, as I shall tell; for I must dare to speak the truth, especially as truth is my theme. For the colorless, formless, and intangible truly existing essence, with which all true knowledge is concerned, holds this region [247d] and is visible only to the mind, the pilot of the soul.

Now the divine intelligence, since it is nurtured on mind and pure knowledge, and the intelligence of every soul which is capable of receiving that which befits it, rejoices in seeing reality for a space of time and by gazing upon truth is nourished and made happy until the revolution brings it again to the same place. In the revolution it beholds absolute justice, temperance, and knowledge, not such knowledge as has a beginning and varies as it is associated with one [247e] or another of the things we call realities, but that which abides in the real eternal absolute; and in the same way it beholds and feeds upon the other eternal verities, after which, passing down again within the heaven, it goes home, and there the charioteer puts up the horses at the manger and feeds them with ambrosia and then gives them nectar to drink.

Such is the life of the gods; but of the other souls, [248a] that which best follows after the God and is most like him, raises the head of the charioteer up into the outer region and is carried round in the revolution, troubled by the horses and hardly beholding the realities; and another sometimes rises and sometimes sinks, and, because its horses are unruly, it sees some things and fails to see others. The other souls follow after, all yearning for the upper region but unable to reach it, and are carried round beneath, [248b] trampling upon and colliding with one another, each striving to pass its neighbor. So there is the greatest confusion and sweat of rivalry, wherein many are lamed, and many wings are broken through the incompetence of the drivers; and after much toil they all go away without gaining a view of reality, and when they have gone away they feed upon opinion.

But the reason of the great eagerness to see where the plain of truth is, lies in the fact that the fitting pasturage for the best part of the soul is in the meadow there, and the wing [248c] on which the soul is raised up is nourished by this. And this is a law of Destiny, that the soul which follows after God and obtains a view of any of the truths is free from harm until the next period, and if it can always attain this, is always unharmed; but when, through inability to follow, it fails to see, and through some mischance is filled with forgetfulness and evil and grows heavy, and when it has grown heavy, loses its wings and falls to the earth, then it is the law that this soul [248d] shall never pass into any beast at its first birth, but the soul that has seen the most shall enter into the birth of a man who is to be a philosopher or a lover of beauty, or one of a musical or loving nature, and the second soul into that of a lawful king or a warlike ruler, and the third into that of a politician or a man of business or a financier, the fourth into that of a hardworking gymnast or one who will be concerned with the cure of the body, and the fifth [248e] will lead the life of a prophet or some one who conducts mystic rites; to the sixth, a poet or some other imitative artist will be united, to the seventh, a craftsman or a husbandman, to the eighth, a sophist or a demagogue, to the ninth, a tyrant.

Now in all these states, whoever lives justly obtains a better lot, and whoever lives unjustly, a worse. For each soul returns to the place whence it came in ten thousand years; for it does not [249a] regain its wings before that time has elapsed, except the soul of him who has been a guileless philosopher or a philosophical lover; these, when for three successive periods of a thousand years they have chosen such a life, after the third period of a thousand years become winged in the three thousandth year and go their way; but the rest, when they have finished their first life, receive judgment, and after the judgment some go to the places of correction under the earth and pay their penalty, while the others, [249b] made light and raised up into a heavenly place by justice, live in a manner worthy of the life they led in human form. But in the thousandth year both come to draw lots and choose their second life, each choosing whatever it wishes. Then a human soul may pass into the life of a beast, and a soul which was once human, may pass again from a beast into a man. For the soul which has never seen the truth can never pass into human form. For a human being must understand a general conception formed by collecting into a unity [249c] by means of reason the many perceptions of the senses; and this is a recollection of those things which our soul once beheld, when it journeyed with the God and, lifting its vision above the things which we now say exist, rose up into real being. And therefore, it is just that the mind of the philosopher only has wings, for he is always, so far as he is able, in communion through memory with those things the communion with which causes the God to be divine.

Now a man who employs such memories rightly is always being initiated into perfect mysteries and he alone becomes truly perfect; [249d] but since he separates himself from human interests and turns his attention toward the divine, he is rebuked by the vulgar, who consider him mad and do not know that he is inspired.

All my discourse so far has been about the fourth kind of madness, which causes him to be regarded as mad, who, when he sees the beauty on earth, remembering the true beauty, feels his wings growing and longs to stretch them for an upward flight, but cannot do so, and, like a bird, gazes upward and neglects the things below. [249e] My discourse has shown that this is, of all inspirations, the best and of the highest origin to him who has it or who shares in it, and that he who loves the beautiful, partaking in this madness, is called a lover. For, as has been said, every soul of man has by the law of nature beheld the realities, otherwise it would not have entered [250a] into a human being, but it is not easy for all souls to gain from earthly things a recollection of those realities, either for those which had but a brief view of them at that earlier time, or for those which, after falling to earth, were so unfortunate as to be turned toward unrighteousness through some evil communications and to have forgotten the holy sights they once saw. Few then are left which retain an adequate recollection of them; but these when they see here any likeness of the things of that other world, are stricken with amazement and can no longer control themselves; but they do not understand their condition, because they do not clearly perceive.

[250b] Now in the earthly copies of justice and temperance and the other ideas which are precious to souls there is no light, but only a few, approaching the images through the darkling organs of sense, behold in them the nature of that which they imitate, and these few do this with difficulty. But at that former time, they saw beauty shining in brightness, when, with a blessed company—we following in the train of Zeus, and others in that of some other god—they saw the blessed sight and vision and were initiated into that which is rightly called [250c] the most blessed of mysteries, which we celebrated in a state of perfection, when we were without experience of the evils which awaited us in the time to come, being permitted as initiates to the sight of perfect and simple and calm and happy apparitions, which we saw in the pure light, being ourselves pure and not entombed in this which we carry about with us and call the body, in which we are imprisoned like an oyster in its shell.

So much, then, in honor of memory, on account of which I have now spoken at some length, through yearning for the joys of that other time. But beauty, [250d] as I said before, shone in brilliance among those visions; and since we came to earth we have found it shining most clearly through the clearest of our senses; for sight is the sharpest of the physical senses, though wisdom is not seen by it, for wisdom would arouse terrible love, if such a clear image of it were granted as would come through sight, and the same is true of the other lovely realities; but beauty alone has this privilege, and therefore it is most clearly seen [250e] and loveliest.

Now he who is not newly initiated, or has been corrupted, does not quickly rise from this world to that other world and to absolute beauty when he sees its namesake here, and so he does not revere it when he looks upon it, but gives himself up to pleasure and like a beast proceeds to lust and begetting…

I will try to delve deeper into an attempt to understand the two-faced nature of Eros and of the Logos in another writing. To do so will help to distinguish between thought and thinking, to distinguish between rhetoric and dialectic, and so give some further insight into these writings that have come to us through the ages.

Sketch for a Portrait of Evil: Part II

The Red Dragon and the Beast from The Sea

Meno of Thessaly

A link to a copy of Plato’s Meno can be found here: http://mat.msgsu.edu.tr/~dpierce/Dersler/Genel-Matematik/plato-meno-loeb.pdf

To properly read a Platonic dialogue is to engage in the act of thinking itself, and this is the whole purpose and reason for their form and content. His writings are not treatises and essays. This engagement in thinking makes them conducive to the thwarting of evil.

If thinking begins with the acknowledgement of ‘knowing that you do not know’, then the unique object that is the Platonic dialogue assists the reader by placing a conundrum or a riddle before the reader’s eye and begging the question from the reader: “What the heck is going on here?” The “what”, “how”, and “why” questions come before one in this unique mode of presentation in the history of philosophy and of thinking. In the dialogue of the Meno, we are shown that virtue or arête, or what “human excellence” is is the search for knowledge that is conducted through thinking. The question of the dialogue, “what is virtue arête?”, is identical with the question of “what is the principle of all value judgements?” This makes it useful for the reflection required in the Core Section of the Theory of Knowledge course.

The dialogues of Plato are more akin to drama and theatre and, therefore, there is an emphasis on the “showing forth before the eye” with them. What is it then that we are to see in a Platonic dialogue? Like Shakespeare, we cannot assume that we are getting the thoughts of the writer Plato through the words of the various characters. When Macbeth says that “Life is an idiot full of sound and fury signifying nothing”, we cannot presume to say that this is Shakespeare’s view of life. It is the view of life of a man or a character who has committed numerous evils, including (like Gyges in the myth) assassinating a king. This is the life of a man who has violated life’s laws (which is but another name for doing evil: doing evil is violating life’s laws). Macbeth’s fate is to have his head mounted on a stick with a sign saying “Behold the tyrant” written underneath.

The dialogues of Plato are either performative or narrative. The Meno is an example of a performed dialogue; the Republic is an example of a narrative dialogue, and in that particular case, narrated or told by Socrates himself. The dialogues also may be either compelled or freely engaged in. The Meno is an example of a “compelled” dialogue; Socrates is forced to speak even though he may not wish to do so. Because he is compelled to speak, Socrates may not say everything he knows: he will be a dissembler; he will be “ironic”. In theatre, irony is the tone of the language of tragedy; it pervades the language of how the substance of the events that take place are told. Tragedy shows us the nobility of human beings, their excellence, while comedy shows their ‘ugliness’, or their foibles.

The Meno is a dialogue that begins as a comedy and ends as a tragedy or as an “omen” or “prophecy” of the tragedy to come for both Meno and for Socrates. There is also the comic element of presenting an impossibility before one: the whole dialogue of the Meno is the impossibility that a man such as Meno would ask such a question as to what arête or virtue/human excellence is. Based on what we have heard of Meno’s ‘reputation’, we laugh at his asking this question. This impossibility of Meno’s asking the question regarding human excellence shifts into the reality of the tragedy of Socrates’ and Meno’s deaths with the arrival and presence of Anytus, who represents the polis of Athens in the dialogue.

By examining Plato’s dialogue Meno, we can see the “double” nature of learning and thinking as understood in the Greek term anamnesis or “re-collection”. “Re-collection” involves both the double nature of the Logos as well as the two-faced nature of Eros. Meno, a Greek from Thessaly history tells us, was an unscrupulous young man eager to accumulate wealth and subordinated everything else to that end. He is known to have consciously put aside all accepted norms and rules of conduct, was perfidious and treacherous, and perfectly confident in his own cunning and ability to manage things to his own profit. (Xenophon, Anabasis). Historically, Meno was considered an arch-villain for his betrayal of his Athenian mercenaries to the Persian King. For this betrayal, it is said that Meno himself was tortured for a year before he was executed by the Persian King. Meno was also notable for being extremely handsome, and it is said that he used his outward appearance to seduce others to conform to his will. The insatiable desire to pursue and accumulate wealth reveals an insatiable desire to accumulate power, for wealth is power’s master key. Its pursuit outside of any other concerns reveals the thoughtlessness of those who pursue ‘means’, those who are driven by the lower form of eros.

The dialogue Meno has four interlocutors or dramatis personae: Socrates, Meno, Meno’s slave-boy, and Anytus one of the accusers of Socrates. In coming upon Socrates in one of his visits to Athens, he asks Socrates what Socrates thinks “human excellence” or arête is. Arête is usually translated as “virtue”, but the term should be thought without the Christian overtones. “Men: Well Socrates, can you tell me if excellence can be taught? Or is it incapable of being taught but attained instead through practice? Or is it incapable of either being attained through practice or learned, and does it come to people rather by nature or by some other means?” (70a) Can “human excellence” be taught and learned (is it a mathemata, an object of thought?) or is it obtained by “habit”/practice ( through “rote learning” and the repeated exercise of certain actions such as may be observed in ‘pious’ actions much as an athlete achieves greater excellence through repetitions of actions required by their particular sport?) or does it come to people “by nature”, are they born with it i.e., is it from the genes? Responses to these three questions form the structure of the dialogue.

Notice the irony present here, the “unexpectedness” of this event. We might say that its comedy is comparable to a Donald Trump coming upon a Mahatma Gandhi or a Mother Teresa and asking them what “human excellence” or “virtue” is. Its “impossibility” borders on the “irrational”. What is Meno’s purpose in asking such a question? If we visualize what we are reading in the dialogue, we can further see the comedy of the setting. Meno who is handsome, wealthy, powerful (for he is surrounded by a great entourage of admirers) and young, is contrasted with Socrates who is “ugly”, poor, alone and old. But these are ‘outward appearances’ only, and the reality of what these characters are may be something else.

Anytus of Athens

Meno is a house-guest of Anytus, an Athenian politician, who is most note-worthy for accusing Socrates of impiety and corrupting the young resulting in the death of Socrates. Anytus was one of the nouveau riche of Athens and served as a general in the Peloponnesian War. His father was wealthy from his tannery business and Anytus inherited that wealth. As a general, Anytus failed in one of his missions and was accused of treason, which was a common charge against generals who failed in their missions at the time. Rumour had it that Anytus is said to have escaped from the charge by bribing the jury, and it was later said that he also bribed the poet Meletus and other members of the jury to bring the charges against Socrates. Anytus was a ‘corrupt’ politician by ‘hearsay’. We do not have any direct evidence of the accusations made against him.

The first question that we have to ask is why Meno approaches Socrates and asks him what arête is. Why does this arch-villain (by reputation, by hearsay) ask Socrates what human excellence or virtue is? While Meno’s villainy has yet to be demonstrated, is it being suggested that Meno was already “bad” before he met Socrates? The distinction between hearsay and truth, if it cannot be determined from words, must be gathered from the actions which the written words imitate. Is Meno sincere in his asking? For what purpose is his asking? Has he been bribed by Anytus to ‘poke the bear’ that is Socrates and compel him to speak on a subject that will reveal Socrates’ impiety and corruption of the young? Is Meno just looking for some “fun” at Socrates’ expense and is he just showing his ‘meanness’ and ‘bullying’, his ‘cruelty’ in accosting Socrates, a trait shown by wanna’-be tyrants at all times throughout history?

Socrates initially responds to Meno’s question ironically: he notes that the Thessalians’ reputation for horsemanship and moneymaking has now been enhanced by their acquisition of wisdom since the arrival of Gorgias, an infamous sophist. There is the association of eros with the acquisition of wisdom but this is done ironically. Socrates claims that the followers of Gorgias are able to answer in a confident and grand manner all of the questions of which they have absolutely no knowledge.

The connection between the two faces of Eros is established in this introduction. The eros that is sexuality is contrasted to the Eros that is love of the whole, or wisdom, and both are connected to learning and thinking. Gorgias is the rhetorician who speaks to the many, the public; the speech among the few or friends/companions is the private or the dialectic, what we might call ‘talk therapy’. The eros that is sexuality is of the private realm. The public speech looks for victory in eristic discussion; it does not care whether truth is revealed or not. It is the speech of politics par excellence. The private speech between lovers is “useless” to the city or to politics. Socrates tells Meno that if there are any who do know what virtue is, they are ‘specially favoured mortals’. (71b)

We are told that Meno, too, is a student of Gorgias, the famous rhetorician and sophist. Meno claims to have made many speeches to large gatherings on the subject of virtue prior to his discussion with Socrates. Meno’s speeches mimic Gorgias: his thought is ‘imitative’ and he is shown to be incapable of thinking for himself. Socrates claims to have a poor memory and asks Meno to remind him of what Gorgias said on the subject of virtue. Meno’s imitative thinking is shown to be thoughtlessness. An ‘imitative’ thought is not a thought; it is the shadow of a thought.

Meno’s First Response

Meno’s first response is to show that one’s understanding of virtue is based upon one’s social circumstances, the context in which one finds oneself: “MEN: ….for it is according to each activity and age that every one of us, in whatever we do, has his virtue ; and the same, I take it, Socrates, will hold also of vice.” (71e – 72a) Meno’s answer is what we call “common sense”. We may compare Meno’s answer to our response to the question “What do you do?” and we usually respond with the job that we are engaged in: “I am a teacher”, “I am a used-car salesman”, etc. It is the second question following “Who are you?” or “What’s your name?” In both answers we are applying distinctions between ourselves and others and identifying those characteristics that make us the unique being that we are.

The thinking that gathers and assembles a many into a ‘one’ is called dianoia by the Greeks. The gathering and assembling is done through the logos or speech/word or number and it is driven by ‘imitative thought’. This is what artificial intelligence does: it gathers and assembles in speech or number based on a pre-conceived framework or algorithm. While we are capable of identifying and giving a name to the parts of virtue/excellence, we are unable to name that which gives a ‘oneness’ to arête or virtue. The ‘common sense’ understanding does not give us knowledge of what virtue itself is i.e., it provides us with the many eide of the ‘outward appearances’ of virtue but does not give us the idea or oneness of, and thus knowledge of, virtue itself. Meno is unable to answer Socrates’ question. The problem of the one and the many has come to the fore.

Gorgias taught that the actions of human beings lend themselves to genuine imitation in life and in words: “It is not what you say; it is what you do”. This learning and acquisition is what we call ‘habit’ and is the result of habit; we act ‘virtuously’ out of the habit that we have learned through the training given by the society of which we are a member. It is what we call “education”; but instead of being ‘a leading out’, (the word education derives from the Latin educare ‘to lead out’) it is the consolidation of the individual to the collective within. This learning and training is based on the ‘opinion’ of what the society holds most dear and it is reflected in its laws. We are driven to obey these laws by coercion and fear.

Meno’s Second Response

Socrates asks Meno to try again and to give him a response as to what arête is in its singularity. Meno responds that it is “the power to rule over other human beings”, the dynamis politike. Because Meno is the man that he is, Socrates must ask: “To rule justly, or not?” Meno’s response is one of ‘political convenience’: to rule justly, of course, for justice is virtue. Socrates reminds Meno that justice is ‘a virtue’, not virtue itself.

Socrates introduces the example of the schema or figure and suggests “roundness” or the sphere. A schema is a closed, a visible thing i.e., its ‘shape’, its ‘outward appearance’ eidos indicates what it is. Shapes are many, as the geometrical forms are many. But the ‘one’ behind the many outward shapes (eidos) is the idea. A sphere is capable of containing all the many geometrical forms. A shaped surface always accompanies colour. We are aware of shapes only by seeing colours: they are co-extensive and “identical” i.e. they are not the Same. Chroma (colour) and schema (figure) are complementary. Schema needs “body” (res extensa) and body needs colour (chroma). A schema is that which is bounded, limited and is contained by these boundaries and limits. (If we think of our word “information”, we can say that it is the “form” that “informs”.)

“Knowledge” always accompanies “human excellence”; they are complementary. Just as the sphere is capable of containing all shapes and figures within it, white is capable of containing all other colours (light). The knowledge that arises from the knowledge of terms or concepts is based on ‘habit’, the collection and assemblage of data within the form that informs. The ‘habit’ identifies the way of knowing of the technicians or technites who proceed as if they knew what the entities are with which they start with as obvious and end up—when everyone agrees on the terms—with what they set out to investigate. This is the essence of artificial intelligence. It is the application of knowing and making i.e. technology (logos + techne).

Being taught by Gorgias, Meno is searching for a ‘verbal victory’ in his discussions with others without caring the slightest for the matter under discussion. Socrates tells Meno that he will try to speak with him as a ‘friend’ (dialectic) and not as one of those who search for verbal victories. Are we to presume that somehow this discussion is being carried on privately? Are there not around listening to the conversations between Socrates and Meno? Dialectic is ‘friendship’, serious conversation. Socrates will not use any unknown terms with Meno homologia “the same logoi“, but will try to use the terms that Meno is familiar with so that their conversation can proceed.

We are shown that Meno’s memory is faulty. Gorgias’ teaching is memory or the “re-collection” of the opinions of others. It is ‘historical knowledge’ and a ‘repeating’, rooted in a technē developed by the rhetoricians. Memory itself is two-fold and is tied to the two-faced nature of Eros. Its contribution to knowledge and thought can lead one downwards or upwards. There is no memory without experience, and there is no experience without memory. When memory is tied to the images and shadows of the opinions regarding the things that are, it will remain bound to or limited by the surface or outward appearances of things. These things manifest themselves to us as beautiful and we are urged to take possession of them for we believe we have a need of them and, indeed, the soul does have a need for them. But just as Eros is a two-faced being so, too, is the soul a ‘two-faced’ being, being an ‘embodied soul’. Psyche is wedded to Eros.

When trying to get Meno to tell him what arête or human excellence is, Socrates is aware that doing so is not going to be done by “reasoned discourse”. Meno, because of his outward handsomeness and beauty, loves flattery, and to convince him, he must be flattered. He tyrannizes those who follow him. His outward beauty hides the ugliness that is the depth of his ‘shallow’ soul. Meno’s thinking is always ‘coloured’ by what other people say and by what has some standing or reputation in the eyes of the collective. Memories provide the horizons or boundaries in which we live and memory and its contents are complementary. The memories of the collective are the doxa of the collective.

At (77b) in the dialogue, Meno says “excellence is what the poet says it is, “to delight in beauties and to have power”. The delight in ‘beauties’ is sexuality, but also having possession and control over those ‘beautiful things’. What are the grounds for attributing goodness or badness to things? The longing for something is the desire to take possession of it, to make it one’s own. The desire for good things can sometimes turn into an obsession regarding their possession. People sometimes choose bad things because they believe that they will do them some good and bring about their happiness. Socrates says elsewhere that “what else is misery but the desiring of evil and obtaining it”. Knowledge is what makes people choose the good things; ignorance enables or is responsible for their choosing the ‘bad’ things. Knowledge enables eudaimonia or happiness, while ignorance results in misery.

For Meno, human excellence is the ability to take possession of the good things which, for Meno, is the ‘getting’ of gold and silver, not the ability, the ‘know how’ (dynamis) to do so. Socrates finds that having to ask and add to Meno’s second attempt to define arête “according to what is just in the eyes of men and the gods” illustrates what kind of human being Meno is. The getting of wealth requires the addition of “justice” or “moderation” or “piety” or some other part of human excellence, which requires knowledge of some kind, but this is superfluous to Meno.

Meno’s second attempt to define arête has still not resolved the problem of the ‘one and the many’ that arose in the first part of the discussion and was depicted by Socrates as ‘a swarm of bees.’ As with the Good and the ‘good things’ that are such because they participate in the Good, the distinction between the eidos and the idea is that with the eidos of the ‘outward appearances of things’, their forms or shapes, one has a many while with the idea we are dealing with ‘ones’. The eide are the many goods or the many virtues that are not the good or virtue itself. Is there a ‘bad’ itself? An answer to this question is what is being attempted in this writing.

The theme of searching and learning is central to the Meno. Meno’s argument is: “It is not given to man to search for anything, neither for what he knows nor for what he does not know: he would not search for what he knows for he already knows it and there is no need for any search; nor would he search for what he does not know for he would not know what to search for.” (80 d-e) Socrates strongly disagrees with Meno and says “…I have heard (and heard of) men as well as women with an expert knowledge of the highest things…” Meno cuts Socrates off; he wants to know who they are. Socrates says he has heard from others who are ‘priests’, and ‘priestesses’, and ‘poets’ regarding the highest things i.e. he has heard from others about these things. One first hears from others whom one has come to ‘trust’ before one proceeds to question and to ‘know for one’s self’ and to take possession of such knowledge.

In order to have a discussion and exchange opinions, to hear from others, we must agree on some starting points. (This is why there is no conversing with the ‘alternative facts’ people in America and why conversations with them are simply a ‘talking past’ each other. If the ‘showing forth’ of the truth of something is not the goal of the logos then there is no point in engaging with people who are not motivated by ‘a good will’ to search for the truth of the thing under discussion.)

We constantly talk around ‘unknowns’ (X) since this allows us to talk about the ‘properties’ of something, even though we do not know what the thing itself is. “Knowledge”, although “one” in itself, appears to be in many parts i.e. the arts and the sciences. “Knowledge” appears to be one of the ultimate archai or “beginnings” of all being, and this is its association with Eros, the Logos, and the soul. In the modern age, we have come to conclude that what gives us this knowledge is “reason”. The “Other”, the oneness of which is nothing but its being divided throughout into parts (for an “other” is always an “other” of an “other” i.e. the sphere and other figures) is the beginning on which the differences between one thing and any other thing depend and from which all duality and plurality stem: it makes a “world” possible. In the modern, it is “reason” which makes this world possible.

Psyche and Eros

The tripartite soul of the individual human being mirrors the tripartite nature of the Divine Soul. In Greek myth Psyche, the most beautiful of mortal beings, is wed to Eros, the child of Aphrodite (Beauty itself, desire itself), and Ares (“spiritedness”, “will”, courage, anger), although some versions of the myth have Aphrodite wed to Hephaestus, the artisan or technite of the gods. Still other versions of the myth have Eros as the most primordial of the gods. It is through Eros’ doing, his love for Psyche, that Psyche gains her immortality. The Latins began the great denigration of the figure of Eros by turning him into the modern day Cupid.

The immortal soul through “re-collection” is capable of learning the “whole” since it already knows the whole but has forgotten it. Learning is a “seeing”, but not the seeing that we are familiar with as a sense perception. There is a discrepancy and a distinction between knowing something and knowing what somebody else has said about that something, and about seeing something for one’s self and seeing it as someone else has seen it. To see it as someone else has seen it is like looking at a photograph or painting or image of the thing.

The logoi are given to us as either number or word. Human beings are distinguishable from all other beings because they possess the logoi. The pre-existence of the soul depends on the existence of intelligible objects. The proper condition of the soul is phronesis or wise judgement which arises from the knowledge or ‘experience’ of these intelligible objects. The knowledge that the soul possesses is acquired at some moment in time. The soul which lasts forever never ceases to exist in time. Nature never ceases to exist in time. The question “why” comes to the fore when we are unable to understand what presents itself to our immediate experience. The things we see are images of the intelligible originals (ideai) in spite of the widespread opinion that “mere” words and their meanings do nothing but reflect and possibly distort their “reality” before us.

There is something by itself that is ‘beautiful’, ‘good’, ‘big’, and so on, and there is a connection between these intelligible objects and Being itself. Something is beautiful because it partakes in Beauty itself. This partaking is what the Greeks understood as parousia, the ‘being-alongside-of-something-in-its-presence’. In the dialogue Meno , what is understood as arête or excellence comes to presence with the parousia of knowledge (phronesis) and prudence (sophrosyne). With this partaking, the “seeing” is doubled: there is both the eide or the outward appearances of things that is grasped through sense perception, and the ideai or the things as they are comprehended by the intelligence or the sight of the invisible. Each of the eide is something that has being; and by sharing in those eide, things come to derive their names. It is through the sharing or participating in the eide that everything comes to be as it is.

At the very centre or peak of the dialogue of Plato’s Meno, Socrates attempts to show how learning is “re-collection” (anamnesis) by using one of Meno’s slave boys as an illustration of how learning can come about.  Being at the centre, the section of the dialogue with the slave-boy is the peak of the action of either the comedy or the tragedy that is the dialogue. Given that the solution to the mathematical problem posed to the slave-boy is an “impossibility”, we can say that the dialogue is, overall, a comedy in its nature. On the other hand, given that the solution to the mathematical problem is an “irrational number”, an “unspeakable entity”, the aura of tragedy also appears to pervade the whole of the action of the dialogue. Again, it should be remembered that the Greek word mathemata means “what can be learned and what can be taught”. The main theme or question of the dialogue Meno is whether arête or virtue is something that can be learned or can be taught or if it is acquired through the dispensation of the gods, and the purpose of both tragedy and comedy is to show that arête (or lack thereof) in action.

The two-faced nature of Eros is present throughout the “double” appearance that is the dialogue of the Meno. How we answer a question is not a “yes” or “no” choice but the choice between two possible ways of arriving at an answer. How we answer may not be related to what the question is about. We, like Meno, may be moved by our desire to please or to harm other people, or the urge to satisfy our vanity, or the pursuit of some plan that may be important for us or, as is most often the case, on what we have heard other people say, persuasively or casually. Or again, we can respond directly to what the question is about and try to give a ‘truthful account’. If asked our opinion, what we “think” about a given subject, we can try to find and state what seems necessarily inherent in or connected to the subject. We must submit ourselves to the necessity revealed by our thinking. It is the only necessity that is in our power to submit or not to submit to. To do so, we must look “inside” ourselves. This is the essence of what we call our “freedom”. Meno’s inability to submit to the questioning shows his lack of freedom.

The “looking inside ourselves” can make us understand and “learn” as to whether or not the response is necessarily true or false and respond “yes” or “no”. The two ways of responding are the two ways of arriving at an “opinion”. The teacher is not “responsible” (aitios > from aitia “the cause of…”) for the pupil’s learning: the “responsibility” is the pupil’s own. “One thing is what is truly responsible (for something), another thing is that without which what is responsible could not possibly become effectively responsible.” If there is “teaching” and “learning”, their relationship is not simply a “causal” one. (This relates to Eros’ or Love’s penetrating the soul and is the reason why Eros is depicted as shooting arrows. The soul has to assent to the penetration or the arrows will simply bounce off of the soul that has hardened itself against penetration. The virtue of courage, for example, is derived from Love but first that Love must penetrate the soul.)

Socrates and the Slave-boy: Part three

In the mathematical example, Socrates’ question to the young slave boy is: “Given the length of the side of a square, how long is the side of a square the area of which is double the area of the given square?” (85d13 – e6) As we know (and Meno does not), the given side and the side sought are “incommensurable magnitudes” and the answer in terms of the length of the given side is “impossible” (if post-Cartesian notions and notations are barred). The side can only be drawn and seen as “shown”:

Stage One (82b9 – a3): The “visible” lines are drawn by Socrates in the dust emphasizing their temporality, their being images. Images, whether constructed with numbers or words i.e. the logoi, are ‘imitative’ thoughts.There are two feet to the side of the “square space”. The square contains 4 square feet. What is the side of the “double square”? The slave boy’s answer: “Double that length.” The boy’s answer is misled by the aspect of “doubleness”. He sees “doubleness” (as we do) as an “expansion” of the initial square rather than a “withdrawal” of that square to allow the “double” to be. We need to keep this “double” aspect in mind when we are considering the seeing and meaning of the Divided Line as it was presented in Part I of this writing.

Stage Two: When the figure is drawn using the boy’s response (“double that length”), the size of the space is 4 times the size when only the double was wanted. The side wanted will be longer than that of the side in the first square and shorter than that of the one shown in the second square. In this second stage, the boy is perplexed and does not think he knows the right answer of which he is ignorant. Being aware of his own ignorance, the boy gladly takes on the burden of the search since successful completion of the quest will aid in ridding him of his perplexity.

Socrates contrasts the slave boy and Meno: when Meno’s second attempt at finding the essence of “human excellence” (arête) failed earlier in the dialogue when he claimed that “human excellence” was in having and retaining power, Meno’s own words are said to him; but Meno, knowing “no shame” in his “forgetfulness” of himself, resorts to mocking and threatening Socrates. (This resort to violence is characteristic of those lacking in “self-knowledge”.)  One cannot begin the quest to know when one thinks one already knows, when one thinks that one is in possession of the truth. The “conversion” of our thinking occurs when one reaches an aporia or “a dead end” and falls into a state of perplexity, becomes aware of one’s own ignorance, and experiences an erotic need for knowledge to be rid of the perplexity. The quest for knowledge results in an “opinion”: a “justified true belief”. The human condition is to dwell within and between the realm of thought and opinion.

Stage Three: The boy remains in his perplexity and his next answer is “The length will be three feet”. The size then becomes 9 square feet when the boy’s answer is shown to him by Socrates as he draws the figure shown on the left.

The number sequence is significant. We have gone from a 1 to a 4 to a 9 to a 16 (or 16 to a 9) in the expanding sequence.

Stage Four: Socrates draws the diagonals inside the four squares. Each diagonal cuts each of the squares in half and each diagonal is equal. The space (4 halves of the small squares) is the correct answer. It is the diagonal of the squares that gives the correct answer. The diagonals are “inexpressible lengths” since they are what we call “irrational numbers”. (We note that the square drawn by Socrates is the same square that is present in the intersection of two cones of the gyres that were shown previously in Part I of this writing and will be later shown again in this writing.) We who are modern are no longer perplexed by the mystery of the One and what a “one” is and, therefore, give it no further thought, although the recent discoveries of the James Webb Space Telescope are bringing the question back to forefront again.

The diagonal in the illustration at Stage Four is the hypotenuse of the right-angled triangle that is formed: a2 + b2 = c2. Pythagoras is said to have offered a sacrifice to the gods upon this discovery, for to him it showed the possibility of true, direct encounters with the divine, and true possibilities for redemption for human beings from the human condition, the movement from thought and opinion to gnosis. But 12 + 12 does not equal the hypotenuse given in the result, and 22 results in the slave-boy’s first response. Some silly modern mathematicians see this as a refutation of Pythagoras and his geometry rather than as the origin of that geometry, the point where thinking and contemplation begins, not where it ends. To achieve the result arrived at by Socrates requires the intervention of a third: the crossing lines that partition the initial square from a one to a four. These crossing lines are Time and Space themselves.

For the Pythagoreans, human beings were considered “irrational numbers”. They believed that this best described that ‘perfect imperfection’ that is human being, that “work” that was “perfect” in its incompleteness. This view contrasts the Sophist Protagoras’ statement that “Man is the measure of all things”, for how could something incomplete be the measure of anything. The irrational number (1 + √5) /2 approximately equal to 1.618 was, for the Pythagoreans, a mathematical statement illustrating the relation of the human to the divine. It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to that of the shorter segment. This is the principle of harmonics on stringed musical instruments, but this principle operated, the Pythagoreans believed, on the moral/ethical level as well. “The music of the spheres” which is the world of these harmonic vibrations and relations provided for the Pythagoreans principles for human action or what the Greeks called sophrosyne, what we understand as ‘moderation’, since any of the relations which were not precise would be ‘out of tune’.)

A statement attributed to Pythagoras is: “The soul is a number which moves of itself and contains the number 4.” One could also add that the human soul contains the number 3 which was the principle of self-movement (Time) for it consists of three parts (past, present, and future), thus giving us 4 + 3 = 7, the 4 being the res extensa of material in space, i.e., the body. 7 was a sacred number for the Pythagoreans for it was both the ’embodied soul’ of the human being as well as the ‘Embodied Soul’ of the Divine which is the physical world before us.

In terms of present day algebra, the divine ratio can be constructed by letting the length of the shorter segment be one unit and the length of the longer segment be x units. This gives rise to the equation (x + 1)/x = x/1; this may be rearranged to form the quadratic equation  x2 – x – 1 = 0, for which the positive solution is x = 1 + √5)/2 or the golden ratio.

If we conceive of the 0 as non-Being, we can conceive of the distinction between modern day algebra and the Greek understanding of number. For the Pythagoreans, the whole is the 1 and the part is some other number than the 1 (x). It should be noted that the Greeks rejected Babylonian (Indian) algebra and algebra in general as being ‘unnatural’ due to its abstractness, and they had a much different conception of number than we have today. (The German philosopher Heidegger in his critique of Plato’s doctrine of the truth and of the Good shown in Bk VII of Republic, for example, deals with the Good as an abstract concept thus performing an exsanguination on the political life and the justice that is shown in the concrete details of Bk VI as well as the rest of the dialogue of Republic. Heidegger’s text on Plato was written in 1933, the year he became a member of the Nazi party. Is this the reason that Heidegger failed to recognize the Great Beast that was Nazi Germany in 1933? And was it this unwillingness to recognize this fact that allowed this philosopher to tragically succumb to that Beast?)

The Pythagoreans and their geometry are not how we look upon mathematics and number today. Our view of number is dominated by algebraic calculation. The Pythagoreans were viewed as a religious cult even in their own day. For them, the practice of geometry was no different than a form of prayer or piety, of contemplation, attention, and reflection. The Greek philosopher Aristotle called his former teacher, the Greek philosopher Plato, a “pure Pythagorean”.

This “pure Pythagoreanism” is demonstrated in Plato’s illustration of the Divided Line which is none other than an application of the golden mean or ratio to all the things that are and how we apprehend or behold them. The detailed example from Plato’s Republic is given in the first part of this writing.  The demonstration of the slave-boy’s anamnesis or recollection is a further example of the same principles contained in the Divided Line and demonstrates Plato’s Pythagoreanism.

The importance of Pythagorean ideas to Plato’s work cannot be underestimated. Examples of the doctrines of the Pythagoreans such as rebirth, initiation, “purification”, the spherical earth, ethical themes related to “magnitudes” and their relations, musical harmony, Orphic rituals and the mysteries are to be found in abundance throughout his dialogues. The geometry of the Greeks revealed to them that the earth was spherical and not flat.

In Plato’s work, “re-collection” is distinguished from “rote learning”. The teaching of Gorgias is an example of rote learning. Rote learning is the sequencing of things not resembling each other which are perceived through the senses; they lack clarity and meaning. “Images” of things are such that they are an image of an image. These are the things belonging to eikasia or the “imagination”.

The world as “image” reminds us of the original through the image. The outward appearance of the beauty of the world reminds us of the original Beauty in which that outward beauty participates. This remembrance of the original is called anamnesis or “re-collection”. For example, if we speak of equal things the equal itself is not confined within the domain of the visible, although we can only acquire knowledge of the equal itself from the visible. The quality of the equality of things on a visible level is a flawed one: two visible things are not quite equal (B = C in the Divided Line). Perfect equality can never be found in the visible things since they would be identical and would then be a one . We can perceive the “approximately equal” because we know of the “equal itself”. Because we know the equal itself, we are able to “recollect” this knowledge and relate the visible to an “intelligible original” which is not visible. The act of relating is done through the logos present in dianoia eikasia, “the thoughtful imagination”. We liken properties of visible things to the more precise invisible objects of thought, the nearly equal to the equal itself. “Re-collection” is the gathering together into a ‘one’ of the eidenai or knowledge of the outward appearances of things and taking possession of it, making it our own. What we call learning is the recovering of the knowledge that we already have.

The soul’s pre-existence depends on the existence of intelligible objects. Its state is phronesis, the “wise judgement” that comes from “experience”. The soul exists in time: the knowledge that the soul possesses is acquired at some moment in time. The soul exists after Death due to its unchanging nature and the timeless order of being. The soul which lasts forever never ceases to exist in Time. The soul assimilated into the One or the Good Itself exists outside of Time.

There are two ways of being engaged in thought. Dianoia (thought) can be a comparing or separating: it distinguishes those who make illusions from those who make images, those who are propagandists and gaslighters from those who are myth-makers. In the Divided Line this is the realm of AB, the realm of the Visible. The Divided Line begins with diaeresis, the thinking that separates, and culminates with noesis or gnosis. Diaeresis attempts to define what something is by separating it into distinctive “ones” or “species”. Dianoia brings the multiple qualities or the categories  of a thing into a “oneness” again, a genus. This leads to our development of taxonomies.

Arithmos is a “counting” and a “counting on”. We use our fingers to count. Diaeretic thinking (“one” finger) gives us enough clarity about things that we are not urged to raise any questions about them. Other perceptions are perplexing and confusing (a finger appears big or small, hard or soft, thick or thin) because “opposite qualities” have been “mixed” up in them. That we are perplexed about such things manifests the dianoia or the thought in them. To apprehend “contradiction” or “opposition” is dianoia and shows that dianoia is in the things and not in the senses. Things can be “good” or “evil” in different respects. “Good” and “evil” are each a “one” but together are “two”. Our sense of sight without the help of dianoia (thought) cannot distinguish between the two. Dianoia does so. Diaeretic thinking is deductive in nature; dianoic is inductive. Diaeresis leads downward; dianoia leads upward and gives “depth” to things. The looking “inwards” provides a depth to things that cannot be achieved by looking at their surfaces only.

Counting and numbering done with the fingers (arithmos) is a discriminating and a relating. We separate and combine the things we count i.e., three chairs. Counting is logismos and underlies any act of diaeresis. In counting, we substitute “pure invisible ones/units” which do not differ from each other. In counting three chairs, we overlook their particularity as separate, distinct chairs. By measuring through arithmos and logistic, the technai, we acquire a more precise meaning with regard to the “bigger than…”, “harder than…”, “thinner than…”. The physical, visible things of the Divided Line (AB) are used as “images” becoming transformed in thought into invisible objects, numbers, geometrical entities or what we term the “mathematical” or that which can be learned and that which can be taught and thought. When we do so, we can do so because the structure or schema can be precisely investigated, understood, learned and easily remembered. These objects of thought give greater clarity or “unconcealment” (aletheia) than that which is present in visible things and the rays of the Sun cannot remove this lack of clarity or unconcealment or its “precision”. Precision and correctness come to the fore. There is some unconcealing of things in ‘true opinion’ but it, nevertheless, remains opinion.

Knowledge understood as epistemological is dependent on, and in relation to, the higher section of the Divided Line (CD). Socrates at 534a4-5 of Republic, shows that episteme (theoretical thought) is to pistis (trust, faith, belief) as natural and technical thought is to imagination. The natural thought exercised in the visible world is changed into the unconcealing power of dialectical insight with the conversion or turn about of the entire soul. It marks the beginning of a new life of philosophia tolerable only to a few. It is constantly in conflict with our natural and technical thinking which is turned toward the visible world and immersed in it. Socrates, through the images of the Cave and the Divided Line as well as the demonstration with the slave-boy in the Meno, takes us on an ascending path.

Because we are “embodied souls”, it is Memory that is associated with our understanding of need, or the urge that is behind the eros of our needs. Need is the essential condition of our human being. Need is not evil itself, but the deprivation of good. Our memory retains our immediate experience based on sense perceptions. It is the repository of the knowledge acquired in one’s lifetime and of what was learned during the journey with the god prior to one’s life (Phaedrus). It is the source of our desires which depend on previous fulfillment and insight.

Learning is the removal of forgetfulness and is a quest. The journey toward the light cannot be undertaken by “rote learning” i.e. memorization or by the techniques of rhetoric as taught by Gorgias. This merely results in the learning of the opinions of others that results in the recitation of stock phrases, cliches, the language of the meme. It results in oppression, not freedom. The acquisition of skills, the gathering of information of all kinds, the convictions and practices which govern the conduct of our lives all depend on the medium of accepted opinions. Our memory is the repository of those opinions. The action of learning conveys the truth about those opinions. It is not a “theory of knowledge” or “epistemology” but the very effort to learn.

Modern science, through Newton and Galileo, made the principle of unlimited straight movement (Time and being) its understanding of the schema or structure of things rather than the principle of circular movement. This is why, for Plato, science cannot think since it is constantly directed toward the ‘shadows’ of things rather than to the things themselves. Rather than the physical objects themselves being the symbols of the higher things of thought, the symbols of thought (the numbers and signs of algebraic calculation) determine the nature of the physical things. The things no longer become objects of perplexity but rather objects that can be manipulated and “used” through the application of the forces identified within the schema.

This long digression from the height of the dialogue of the Meno is an attempt to clarify the nature of thought and thinking and to illustrate why evil as a surface phenomenon has its roots in the power that manifests itself in the manipulation of ready-to-hand objects that are understood only as “shadows”. This “knowing” and “making” manipulation shall become clearer in Parts III and IV of this writing.

If “thought” is present within the physical things themselves and is not placed there by human beings, then thoughtlessness, too, must also be a possibility for human beings and things when viewing and understanding the nature of physical objects. Being has need of human beings. In the demonstration with the slave-boy, the object that is the original square drawn in the dust “withdraws” to allow the “double” square to be by its coming to appearance. The double square can only be by the seeing of an object of an “unspeakable length”, the irrational number. In our ”natural” manner of thinking, this irrationality is “skipped over”, and with this skipping over, so too our perplexity regarding the natures of things.

This benumbing perplexity of giving thought to things is captured by Meno’s calling Socrates a “stingray” or a “torpedo fish” that causes its victims to be unable to act. In his Apology, Socrates compares himself to a gadfly, a pest that keeps one awake. The arousal of the gadfly can have a number of consequences: the arousal can lead to license and cynicism due to the lack of content together with being taught how to think, changing the non-results or “uselessness” of thought into negative results: since we can’t define what piety or evil is, let’s be impious or act as we wish. Nihilism is an ever-present danger with thinking. It is, partially, the attempt to find results where further thinking is no longer necessary. Nihilism is at the heart of what we commonly understand as thinking today.

The quest for knowledge is a love, desiring for what is not there. Since it is a “love” and “desire”, the objects of thought can only be lovable things – beauty, wisdom, justice – the Good. Ugliness and evil are excluded by definition from thinking’s concern. Evil and ugliness are deficiencies or deprivations of good. They have no roots of their own, no essence of which thought can get hold. They are shadows and are akin to the “statues of Daedalus” which run away because they have no “knowledge” to yoke them in place. They are subject to revolution and change because they are subject to the corruption of time.

“Re-collection” is the key to self-knowledge, and self-knowledge is the key to freedom and to “human excellence”. In responding to Socrates’ questions, the slave-boy demonstrates that what we think we know gives us an “illusory” empowerment and confidence, whereas when we know that we do not know, we are in a state of perplexity. (84b) The slave-boy’s willingness to learn shows him to have a higher arête than the wealthy, handsome Meno. Even in his slavishness, he is free whereas Meno, due to his unwillingness to learn, is not. To be in a state of perplexity is higher than being in a state of certainty that derives from “opinion”. This is ironically alluded to by Socrates in wishing to return to the question of virtue following the demonstration. (86e)

Socrates makes clear that Meno lives by his belief in his second response that virtue is command over other human beings and being in control of the dynamis or potential for obtaining what are perceived as the “good things” i.e. money and reputation, the gratification that comes from the possession of ‘beauties’. Meno’s understanding of “freedom” is “license” i.e. acting on one’s whims. Such a view of freedom comes from lack of self-knowledge. That thinking and acting which is dominated by the urge to control does not first seek to ask what the thing is but, dealing with the surface of the phenomenon, attempts to determine how best to reach the end or completion of the thing so that the thing will become “useful” to the individual. (86e) The truth of Meno’s character and the nature of his soul is coming more to the light.

Socrates ironically alludes to himself as Meno’s “slave” and thus establishes a connection between himself and the slave-boy who both have higher dignity or arête because they are willing to enquire and learn whereas Meno (and Anytus who follows after him) have no desire to do so, believing that they are already in possession of the truth. In this section of the dialogue, it is clear that it is eros that tempts the soul to succumb to the beauty of the outward appearances of things including the beauty of other human beings. These things are of the realm of Necessity and are subject to the same laws. The power of our “natural” thinking stems from our interpretation and under-standing of Necessity, and it is this understanding that leads to the conclusions that are arrived at. It involves our determination of what a thing is before we understand the nature of the thing.

In section (87a-b) of the dialogue, Socrates proposes that he and Meno proceed in their inquiry through the use of an “hypothesis”. He will follow the technai of the geometrician when attempting to solve the problem of whether a triangle can be inscribed in a circle (sphere) containing a rectangle where the triangle (the soul) is equal in area to the given rectangle (square? the body?). The question of what is arête is conceived as a triangle. Socrates will approach the question using what is considered to be the “natural” direction of thought.

If virtue is knowledge, then it must be teachable; but error, too, is also teachable as well as “opinion” and the providing of misinformation. The triangle that is virtue arête is composed of knowledge, sophrosyne (moderation), and phronesis (“wise judgement). The errors that occur within the action that is arête or human excellence are due to the lack of moderation and the lack of judgement regarding what the goodness of those actions might be. (Below are two attempts to illustrate Socrates’ rectangle within the circle. Which is correct?)

In looking at Socrates approach in this section of the dialogue, we have to distinguish between the two different types of thinking. Going back to Plato’s Divided Line will aid us here. We have a different kind of eikasia (Imagination) in our  thought than in the visible world. The domains of eikasia and pistis (faith, trust, belief) are together called the domain of “opinion”. The object of “opinion” lies between what is and what is not and exhibits the character of an “image” or “shadow”. Thought (dianoia) instead of ascending from the foundations upwards towards its source (the Good) moves downwards towards a final completion, result or “work” i.e. the visible things, the artifacts of human making. One aspect of our thought is always engaged in supplying “foundations” for what has to be clarified or revealed i.e. our under-standing. Visible things depend on, or are “obliged to”, “intelligible originals”; “intelligible originals” depend on the Good. With each stage in thinking comes greater clarity or unconcealment. The downward path, the paths of hypothesis and supposition, lead away from the source of the Good, repeating the pattern of all “technical” as well as “natural” thinking; and this is illustrated in the downward movement of the gyres in the illustration provided.

The “suppositions” and “hypotheses” of thought are turned into “sources” or archai, laws and principles. The various technai remain concerned with the visible and do not deal with the obscurity of their own “beginnings” and so, according to Plato, do not deserve the name of “knowledge”. They cannot account for their own sources and so their clarity or unconcealment is between “knowledge” and “opinion”. The power to account for their sources is not given to mortal human beings. As is shown in the allegory of the Cave, we need to reverse our direction of our search and turn our attention to the source(s) from which our thinking achieves its clarifying or unconcealing function in revealing truth.

The counting and numbering, the “natural” activity we undertake with regard to the visible things of our familiar, trusted world is an “imitating” of what Plato refers to as the “dialectical” dividing and collecting which thinking undertakes on the higher level. The objects on the higher level are collections or assemblages of intelligible units which are not “indifferent mathematical monads”, such as 8 “ones” counted up to the sum of 8 such as can be thrown together, but are invisible and uncountable eide, so that the 8 itself is an uncountable eide. The assemblages of the eide are the domain of the intelligible. Their “shadows” are the numbers used in the technai of arithmetic and logistic which are our basic manner of “natural” thought which provide the foundations for our basic understanding of thought.

The movement of thinking follows from a better understanding of the part to a better understanding of the whole as is shown in the illustration of the gyres. The part is enclosed within the whole. We cannot know the part without knowing the whole, and we cannot know the whole without knowing the part. The elusiveness of truth cannot be overcome and we are only capable of striving for knowledge. “Analytic” deals with “unknowns” and proceeds “inductively” in its method to make them “knowns”. The parts are known while the whole is unknown. Our opinions and the things themselves have this characteristic.

The question of “what is virtue arête?” is identical with the question of “what is the principle of all value judgements?”. We moderns distinguish judgements of “fact” from judgements of “value”. This “fact – value” distinction results in the lack of a “moral compass” so prevalent today. Judgements of value require a greater attention, contemplation and thought than those judgements that derive regarding judgements of fact. Meno has a low understanding of virtue arête which adheres to the most common understanding of virtue arête. Adherence to the most common understanding results in the tyrant as was shown in the myth of Er of Bk X of Republic.

“Excellent men” are “good” men by virtue of their excellence i.e., by their possession of virtue or excellence. Being “good men”, they are “beneficial”, for everything that is good does us some good. The things that do us some good can also bring us harm depending on how we use them. The “right use” is key. Phronesis wise judgement and sophrosyne “self-control, docility” or “prudence” aid the soul in its engagement with being-in-the-world and in our being-with-others so that the soul is led to happiness. When the soul is misled by lack of judgement, misery is the result.

The “beneficial” and the “good” are used interchangeably in the dialogue. Phronesis, although not identical with knowledge always appears linked with knowledge “as knowledge of some kind”. Phronesis is “like” sophrosyne although not identical to it. Whenever something beneficial comes into being, this may be said to be phronesis. For Socrates, the domain of knowledge encompasses the domain of goodness. The domain of phronesis completely encompasses the domain of the beneficial. The exercise of wise judgement is a part of arête virtue, excellence. This is to be understood as parousia.

Beauty, when it is seen by us as the beauty of the world, has lost its “wholeness” but not its “splendour”. This “splendour” urges us to find its wholeness once again, and it is the root of sexual attraction and love. Both phronesis and beauty can be found among us as parousia. Phronesis may have lost its “splendour” but not its “wholeness”. Phronesis is what makes human beings excel, but it is inconspicuous. Its “splendour” is the “beauty within”, and it is rooted in self-knowledge. Wise judgement through experience or action is not “forgotten”. “Good men” are not born good “by birth”.

The Arrival of Anytus: Part IV

The arrival of Anytus into the dialogue is that point where the dialogue turns from a comedy into a tragedy, although tragic undertones and possibilities have been present throughout as with any comedy. Anytus is the representative of the city of Athens in all its glory and wealth, as well as all its pettiness, depravity and corruption. His replies to Socrates questions are brief, reluctant and condescending. Anytus’ presence comes to the fore when Socrates expresses his doubts about whether arête is teachable or not since he himself has found no teachers of it in his journey. Anytus is the outward appearance of what Athens has taken as its notion of arête virtue and is the model or paradigm upon which the opinions and interpretations of virtue are based.

The conversation with Anytus has the main theme of the search for the “teachers of virtue” and begins with a discussion of excellence as a technai or a “competence” in some skill whether it be medicine or shoemaking or flute playing. (90 b) The learning of excellence or competence is a product of memory since those who are skilled must have learned their skills from someone or somewhere at some point in time. If you want your child to learn medicine or cobbling or flute-playing, you would send them to an appropriate technite for them to learn the skill. The teacher would accept payment for teaching their skill. It would be folly anoia or absurd alogia to send a child who wants to learn a certain art to someone who does not want to teach for a fee (here it should be remembered that Socrates did not teach for a fee) or to someone who has no desire to teach. Anytus adds that “It would be stupidity to boot”.

With the question of excellence or virtue, however, things are different. Who are the teachers of virtue? Gorgias, the sophist, is a teacher of rhetoric: “the ability to speak to and for the many, the multitude”. To persuade the many involves “bewitching” them to a degree, gaslighting them. Anytus condemns the sophists, although he has not met any. He condemns by “hearsay”. This is in contrast to Socrates who knows of Meno’s reputation but wishes to discover for himself the nature of the man before him. While “hearsay” opinion may be “true opinion”, it is distinguished from the knowledge that comes from direct experience gnosis. To “know thyself” involves both self-knowledge as well as the knowledge that comes from the possession of the experience of the thing for one’s self, the knowledge which rises above opinion.

“The best men”, “the perfect gentlemen” are not able to teach virtue to the young: is this the fault of the “gentlemen” or the young? Or the regime? The “good citizen” of the Nazi regime is not the “good citizen” of a liberal democracy. The virtue of Nazi Germany is not the virtue of a liberal democracy which seeks tolerance and openness. The Aryan “blond beast” is not the model of excellence put forward by liberals.

With regard to the common understanding of virtue, Socrates implies that it is Protagoras who is responsible for the current situation in Athens. Anytus, however, has never met Protagoras nor any other sophist. To those who listen to the sophists, Anytus says “Any: No, they are very far from madness, Socrates. In fact it is much more the case that the young people who give them money are mad, and those who let them do so, their relatives, are even more mad, and by far the maddest of all are the cities that allow them free entry, and do not drive away any stranger who even attempts to engage in anything of this kind or any citizen either.” (92b) Socrates tells Anytus that Meno is desirous of “becoming a good man”. He is longing for wisdom and excellence, behaving properly with regard to one’s own house and city, one’s parents, fellow citizens, and strangers i.e., the acquisition of a techne which makes “a good man.” Socrates ironically suggests the sophists. Anytus disagrees; he does not want anyone near to him to be disgraced by frequenting such fellows. Anytus appears to overlook the fact that Meno has been a frequent student of Gorgias.

Socrates uses the example of Protagoras who amassed a fortune through such teaching and contrasts him with Phidias, the best of the sculptors of the time. How is it possible that Protagoras’ reputation still stands while any cobbler would be out of business in 30 days? Those sophists either deceive and corrupt the young deliberately or are completely unaware of what they are doing. Anytus says that it is not they who are mad but anyone who pays them money who is so, as well as the families and the cities that are mad.

Socrates is willing to grant that the Sophists are not the teachers of excellence that Meno needs. He agrees with Anytus that they would convert Meno into a knave. (Do we assume here that Meno is already a knave through his contact with Gorgias?) This seems to suggest that Meno is a knave before Socrates meets him and that his “reputation has proceeded him”. One does not ask why Anytus chooses to house him while he is in Athens. This, presumably, is what one does with the wealthy and powerful in spite of their reputations. We may see parallels in Roy Cohn, the lawyer of the Trump family, and of Heinrich Heydrich, the mentor of Adolf Eichmann, in the modern pantomimes. Who should Meno turn to in Athens?

Were the distinguished men of Athens who possessed excellence also good teachers of their own excellence? (93 b) The issue is whether excellence is teachable. Themistocles, Aristides, Pericles, and Thucydides were not able to teach their own sons “human excellence”. The four historical examples were all politicians of Athens. Three of them were generals in her armies. Thucydides, son of Melesias, was an Athenian politician and rival of Pericles. He is not to be confused with the famous historian of the Peloponnesian War.

Anytus agrees that Themistocles was the Athenian most representative of arete. The oldest is the best, much like in America where the founding Fathers were/are considered the best. Themistocles was a politician who lead the Athenian army to two victories over the Persian invaders and later became a politician. He is the model whom Anytus believes is most representative of Athenian virtue. Themistocles was unable to pass on his “excellence” to his son. In fact, all four of the historical examples mentioned were unable to teach their sons about human excellence. Given Socrates’ criticism of the older generations, Anytus replies to Socrates: “Any: Socrates, you seem all too ready to speak ill of people, so I would like to give you some advice, if you are prepared to heed me. Be careful, because in any city it is probably easier to do a person harm rather than do them good, but this is especially so in this city. But I think you know this yourself.” (95a) Following this threat, Anytus quickly departs.

Why is Anytus so angry? Anytus thinks he himself is one of those men i.e., Anytus regards himself not only as one of the distinguished men of Athens, but also as one of its foremost leaders. Anytus’ own son may be an example of the failure to teach human excellence. His anger is based on his own high opinion of himself, his amathia (“stupid ignorance”). We must repeat that “stupid ignorance” is a moral failure not an intellectual one. Diotima’s words (Symposium 204 a-b) warn us that “stupid ignorance” strikes us when a person who is neither distinguished nor capable of the exercise of wise judgement phronesis thinks of himself as quite self-sufficient. We see such “stupid ignorance” on display in many of our politicians today. Anytus lacks his father’s qualities of moderation. Anytus considers himself a man of worth on the level with Athens’ greatest (similar to Donald Trump when comparing himself to former Presidents). This lack of sophrosyne as well as phronesis is his amathia, his ‘stupid ignorance’. But Anytus has an important thing to fall back on to bolster his self-appreciation: his fellow citizens hold him in high esteem. (Donald Trump has his MAGA followers.) Is his anger due to the “contempt” Socrates’ appears to show towards these figures that made Athens the great city that it was in the eyes of the world?

A human community lives by “memories” (historical knowledge). The “great men” are part of this memory. To hold them in contempt is to deny the ultimate authority of the polis. Anytus’ anger is rooted in “prevailing opinion” concerning the respectability or unworthiness of people, based on the “reputation” of those people. The “opinions” of the polis, where it is easier to do evil than to do citizens good, is the role Anytus plays in the dialogue. Anytus’ anger parallels Meno’s earlier warning and threat to Socrates that he should not leave Athens and travel to another city. Anytus can rely on Athens’ powerful popular support. This unveiling of Anytus’ character is an indictment of the entire polis. The soul of Anytus is Athens’ soul. The essence of the Great Beast that is the human collective makes the question of what human excellence is a political one.

The ability to learn “human excellence” like all other things depends on the quality of the learner’s soul. Aristotle spoke of arete as “competence” and the “completion” or goal of this “competence” was directed towards the acquiring and making of the “good things”. It is clear that for Socrates/Plato, arete is not mere “competency” i.e. skills as technai. It is something beyond these i.e. “excellence” rather than mere “competence”. “Excellence” is the measure of competence. If it is merely competence, then it is a techne or skill that can be taught and Protagoras is correct in that “Man is the measure of all things”.

Meno returns to the conversation upon Anytus’ departure and says Gorgias never tried to teach “human excellence” but rather he tried to make “expert orators” i.e., he was attempting to teach a techne. At 96d he wonders whether good men can exist at all, and if they did how could they have possibly come to exist. Excellence appears to be not teachable and no one possesses excellence from birth, ‘by nature’. If excellence is not teachable, excellence cannot be knowledge of any kind, neither technai nor episteme. Anytus believes that opinion and reputation are the keys to statesmanship. Men seem to conduct their affairs under the leadership of knowledge, so Socrates says that he and Meno must be “no good” themselves and must look for a teacher of excellence. Socrates believes that good men must do us good so men who know the right way must be sought.

Socrates ironically uses the example of knowing the way to Larissa which, as we remember from the introduction to the dialogue, is the city which has become ‘wise’ since Gorgias’ presence among them and is the locale of Aristippus, Meno’s lover. Larissa is one possible destination for the journey towards knowledge. Knowledge and “right opinion” are compared and contrasted. Someone who, from experience, knew the road to Larissa would be able to guide others who did not know the way themselves. Also, those who had a “right opinion” or knowledge from hearsay would also be able to guide others correctly. With regards to human affairs, the second individual would not be a worse leader than the first as long as he retained his “right opinion”. While the first man knows “the truth” through experience, the second believes something which happens to be true without the certainty that it is true. “True opinion” is not a worse leader when conducting our affairs than is the exercise of wise judgement phronesis but the man who has the right opinion about the road without having traversed it will have it because someone else has instructed him correctly on the matter or he has gained his knowledge from a map. He must have committed the knowledge to “memory”.

“Orthodoxy” is the combination of the two Greek words orthos and doxa meaning “attunement to human affairs”, to the right way of conducting them, to the right way of acting. An ortha-doxa is an ‘opinion’ which is responsible for right action, for an action beneficial to us, to others, and to the community. Its “rightness” is in its truth, its relation to justice as “fittingness”. The exercise of wise judgement phronesis is a state of knowing, of eidenai or episteme: the man who exercises wise judgement is knowledgeable about the affairs of the world. Phronesis provides the “right lead” in the human soul. It is the moral compass. The person who possesses phronesis “opines rightly”. Right opinion does us no less good than knowledge. The man who possesses knowledge will always “hit the mark” while the man with “right opinion” will sometimes hit, sometimes miss the mark. “Right opinion” is not the knowledge that comes from direct experience (gnosis) which teaches wisdom regarding matters.

A right opinion can be either true or false. In the dialogue, no mention is made of false opinion. “Right” opinions are a matter of hearsay (“historical knowledge”) and it is a matter of chance whether they be true or false. If one happens upon the right road by chance, “right opinions” are subject to change and become false opinions. Socrates says that Meno has not paid enough attention to “Daedalus’ statuary”. (97d) They have to be chained in place or else they will run away. To own a work of Daedalus in its unchained state is not worth very much for it does not stay put; but if it is chained, it is worth a great deal. They can provide all that is good and beneficial. But they don’t stay put. One must “bind” them: find reasons for them in one’s own thinking. Knowledge is held in higher esteem than right opinion by being “bound fast”.

The “right opinions” Socrates is talking about determine the praiseworthy actions of men. The “right opinions’ are those we entertain with regard to men responsible for human affairs. Our opinion determines their reputation, and if our opinion is correct their good reputation, the doxa, is deserved. Their good reputation persists only if our opinion about them remains stable. “Right opinion” indicates instability; knowledge indicates “permanence” and stability. Knowledge is the counter-balance to right opinion. But knowledge can be lost. Phronesis appears to be immune to forgetfulness for it is based on experience. But does not the man who recognizes the wisdom of others have the ability to possess phronesis? And so be able to guide our actions?

The “binding” or “yoking” of right reasons is done through the logos in one’s own thinking. It is the logos which binds the statues of Daedalus just as it is the logos which binds us to our mortal being. The finding of reasons for something (logoi) is what we mean by understanding and learning. The goal is knowledge (gnosis). Does this not embody all the excellence human beings can attain? A statue is a monument to honour a god or a man. It is a memorial, a visible manifestation of somebody’s glory or “reputation”. The inconstancy of human opinion and reputation is demonstrated by our relation to the statuary that we erect. The effort required of the journey and the learning within the journey is meaningful only if there is a state of knowledge different from the state of “right opinion” for “rightness” presupposes the existence of truth which only episteme and phronesis can unveil. That state of truth is gnosis. Socrates states at 98b: “Soc: And yet, I too am speaking as someone who does not know, someone who is making conjectures. But I do not think I am merely conjecturing that right opinion and knowledge are different, rather, if indeed I were to claim to know anything, and there is little I would claim, this is one thing I would include among things that I know.” Socrates knows the difference between right opinion and knowledge as gnosis.

The logos of the dialogue collapses at this point. Knowledge and “true opinion” can be acquired by human being by being ‘told’ about them. In the dialogue, the term orthodoxa is replaced by eudoxa which means “good opinion”. “Good opinion” is not the same as “true opinion”. Good opinion deals with repute, and the “trust” and “belief” in which we live (and in which Meno and Anytus live). Human beings who are “politicians” are comparable to soothsayers and diviners: they speak “true” but they do not know what they say. If soothsayers or prophets happen to predict the truth, a “divinity” may speak through them or they may be told by a divinity what to say. They may also be bribed or told what to say by clever men. Socrates equates Anytus to a diviner (92c), but this is not a compliment. Socrates, ironically, becomes a seer by saying that he will converse again with Anytus at a future time for Anytus will be one of the chief accusers at his trial. The conclusion reached is that even though we do not know what human excellence is, it seems to come to human beings by “divine allotment”. As the dialogue concludes, Socrates quotes Homer who said: “Among the dead, Teiresias alone is in his senses.” Teiresias, the blind prophet famous in many works of Greek literature, is alone able to ‘see’ among the ‘dead’ who, so it happens, are those we call the living.

Sketch For A Portrait of Evil: The Essence of Evil: Sections III and IV

Section III: The Individual: Evil and Plato’s Divided Line

Plato’s discussion of the Divided Line occurs in Bk VI of his Republic. In Bk VI, the emphasis is on the relation between the just and the unjust life and the way of being that is “philosophy”. Philo-sophia is the love of the “whole” for it is the love of “wisdom” which is knowledge of the whole. Since we are a part of the whole, we cannot have knowledge of the whole. This, however, should not deter us from seeking knowledge of the whole and, indeed, this seeking is
urged upon us by nature, by our nature. All human beings are capable of ‘philosophy’, but only a very few are capable of becoming philosophers. All human beings are capable of “good deeds”, but only a very few are capable of being saints.

The whole is the Good, and that which is is part of the whole so it must, at some point, participate in the Good to some extent. That which we call the “good things” of life such as health, wealth, good reputation, etc. are subject to change and corruption because they are not the Good itself. To only love the “good things” is to love the part, and this love channels one off in another direction from that initial erotic urge directed toward the whole or the Good. This is why the “good things” in themselves can become evils and why we can become obsessed with and succumb to the urges we feel for their possession.

Eros as understood here is not the winged cherub or child named Cupid, nor is it merely the sexual urge which is the modern day focus. “Love (erôs) is the oldest of all the gods,” an Orphic fragment
regarding Eros runs: “Firstly, ancient Khaos’s (Chaos’) stern Ananke (Inevitability, Necessity), and Khronos (Chronos, Time), who bred within his boundless coils Aither (Aether, Light) and two-sexed, twofaced, glorious Eros [Phanes], ever-born Nyx’s (Night’s) father, whom
latter men call Phanes, for he first was manifested.” The two-faced nature of Eros is an apt indicator of how eros can operate in our lives: it can lead upwards, or it can lead downwards. It can allow us to ascend or to descend. Eros is both “fullness” and “need”. Socrates claims that he is an expert in only one thing and that is eros. Socrates is an expert in the ‘neediness’ and the ‘needfulness’ of the human condition.

In its ascending direction, Eros’s affect is to make us love the light and truth and hate falsehood. Care and concern develop from Eros. In the illustration of the gyres presented here, the blue gyre is our ascent from the individual ego to the knowledge of the whole of things. The red gyre is the descent of the Good into the being of that which is. “Depth” arises from the ascent; the descent brings about our desires for the surfaces of things, the lower order of eros. Evil is a
‘surface’ phenomenon and eros is a part of it. (The two gyres is a rather abstract representation that is better illustrated in Blake’s painting of “The Red Dragon and the Beast from the Sea” which begins this writing.)

The image of the Divided Line provided by Plato in Bk. VI of Republic is emphatically ethical for it deals with deeds, not with words. The philosophic way of being is erotic by nature. To be erotic is to be “in need”; sexuality is but one manifestation of the erotic, though a very powerful manifestation of this human need. Socrates must chide his interlocutor Glaucon on a number of
occasions in this part of the dialogue of Republic, for Glaucon is ‘erotic’ and is driven by militaristic and sexual passions and, because of such drives, he has a predilection for politics, for seeking power within the community or polis, from which our word ‘politics’ derives. Eros in its lower form drives the appetites and acquisitiveness of human beings, and as Plato indicates in his Seventh Letter: “Of necessity, these States (polis) never cease changing into tyrannies, oligarchies, and democracies, and the men who hold power in them cannot endure so much as the mention of the name of a just government with equal laws.” (325d)

Bk VI of Republic emphasizes the relation between the just and the unjust life and the individual life that is philosophy. The just life is shown by “the love of the learning that discloses (unconceals) the being of what always is and not that of generation and decay”, the knowledge rather than an opinion of what always is. The being of what always is is phusis or Nature. Those who love truth and hate falsehood are erotic by nature i.e., they are ‘needing’ beings by nature; they feel that something is missing. Care and concern develop from this; the love of the whole (the Good) is the great struggle in its attainment. To love the “part” is to be “channeled off” in another direction. This ‘love of the part’ is what we understand as ‘temptation’.

The two-fold or “double” learning is captured in the two types of thinking that are referred to as dianoia and diaeresis. It is also present in the two-fold logos that is rhetoric and dialectic. This two-fold or “double” possibility of learning is emphasized in the construction of the Divided Line and is illustrated by the different directions indicated in the gyres shown previously.

From Plato’s Divided Line we can assert that, for Plato, science does not think in the way that thinkers think. The thinking required to combat evil’s thoughtlessness is not the type of thinking that is to be found in the sciences. Knowledge understood as episteme is dependent on, and in relation to, the higher section of the line (D:C). Socrates (534 a 4-5) relates that dialectical
noesis, the conversation between two or three that runs through the ideas, is to pistis (faith, trust, belief) as natural and technical dianoia is to eikasia (imagination).

The natural dianoia or “gathering together into a one” which is exercised in the physical world by the mind is changed into the power of dialectical insight (the conversion or turnabout of the entire soul) that occurs through the power of speech or conversation between two or three, not through the power of oratory or the written collective memory of the polis one inhabits. The “seeing” is changed into a “hearing”. The “hearing” is changed into a “judgement”. This is why we speak of the “music of the spheres”. It marks the beginning of a new life of philosophia, tolerable only to a few. It is constantly in conflict with our natural and technical dianoia, turning as it does toward the visible world and being immersed in it. Socrates, through the images of the Divided Line and the Cave, takes us on an ascending path away from this turning toward the visible world that is but the shadows reflected on the walls of the Cave.

The philosophic soul reaches out for knowledge of the whole and for knowledge of everything divine and human. It is in need of knowledge of these things, to experience and to be acquainted with these things. The non-philosophic human beings are those who are erotic for the part and not the whole. They are deprived of knowledge of what each thing is because they see by the borrowed light of the moon and not the true light of the sun; their light is a reflected and dim light.

In the Allegory of the Cave, the enchained ones see the shadows of the artifacts carried before the fire that has been ignited by the artisans and technicians. They have no clear ‘pattern’ in their souls, and they lack the experience (phronesis or “wise judgement”) that is tempered with sophrosyne or moderation that they have acquired through the experience of suffering or strife. The philosophic soul has “an understanding endowed with “magnificence” (or “that which is fitting for a great man”) and is able to “contemplate all time and all being” (486 a). The philosophic soul has from youth been both “just and tame” and not “savage and incapable of friendship”. (See the connection to The Chariot card of the Tarot where the two sphinxes, one white and one black representing the mystery of the soul, are in contention or strife (polemos) with each other.)

In looking for the philosophic way of being-in-the-world, Socrates concludes: “…let us seek for an understanding endowed by nature with measure and charm, one whose nature grows by itself in such a way as to make it easily led to the idea of each thing that is.” (486 d) The philosophic soul is such by nature i.e., it grows by itself from out of itself. Is this all souls or only some souls? Are all souls capable of attaining the philosophic way of being? The modern answer to this question, through the strange meeting of the French philosopher Rousseau and the impact of Christianity, has been a “yes”, while the ancient answer appears to be a “no”. Saints and philosophers are rare plants.

The philosophic soul is “a friend and kinsman of truth, justice, courage, and moderation.” (487a) The philosophic soul is able to grasp what is always the same in all respects. (B and C in the Divided Line) The distinction between the philosophic soul and its “seeing” is shown by its contrast to the “blind men” who are characterized as those who are erotic for the part and not the whole; those who are deprived of knowledge of what each thing is; those who see by the light of the moon; those who have no clear pattern in the soul; and those who lack experience phronesis or “wise judgment” tempered with sophrosyne or moderation, what is called arête or ‘human excellence’.

Socrates uses an eikon or image (AB of the Divided Line) to indicate the political situation prevalent in most cities or communities. The eikon uses the metaphor of “the ship of state” and the “helmsman” who will steer and direct that ship of state. The rioting sailors on the ship praise and call “skilled” the sailor or the “pilot”, the “knower of the ship’s business”, the man who is clever at figuring out how they will get the power to rule either by persuading or by forcing the ship-owner to let them rule. Anyone who is not of this sort and does not have these desires they blame as “useless”. They are driven by their “appetites”, their hunger for the particulars. (i.e., what Plato describes as human beings when living in a democracy, an oligarchy, or a tyranny). This is the reason Plato places democracy just above tyranny in his ranking of regimes from best to worst, tyranny being the worst since both of these regimes are ruled by the appetites and not by phronesis and sophrosyne or what we understand as ‘virtue’. Democracy’s predilection for capitalism is a predicate of the rule by the appetites).

The erotic nature of the philosophic soul “does not lose the keenness of its passionate love nor cease from it before it has grasped the nature itself of each thing which is with the part of the soul fit to grasp a thing of that sort, and it is the part akin to it (the soul) that is fit. And once near it and coupled with what really is, having begotten intelligence and truth, it knows and lives truly, is nourished and so ceases from its labour pains, but not before.” (490 b) The language and imagery used here is that of love, procreation and childbirth, and this indicates its
connection to the higher form of Eros as discussed earlier. With regard to the Divided Line, this is the analogy of B=C: the world of the sensible, the visible “is equal to” the world of Thought: the mathemata or “that which can be learned and that which can be taught.” That which can be learned and that which can be thought is initially the visible, that which can be sensed and experienced. Socrates sees himself as a midwife, helping to aid this birthing process that is
learning. (Notice that this indicates the descending motion within the gyres that were shown in the earlier illustration after a gnostic encounter with the Idea of the Good.)

Section IV: Details of the Divided Line

At Republic, Book VI, 508 b-c, Plato makes an analogy between the role of the sun, whose light gives us our vision to see and the visible things to be seen and the role of the Good in that seeing. The sun rules over our vision and the things we see. The eye of seeing must have an element in it that is “sun-like” in order that the seeing and the light of the sun be commensurate with each other. Vision does not see itself just as hearing does not hear itself. No sensing, no desiring, no willing, no loving, no fearing, no opining, no reasoning can ever
make itself its own object. The Good, to which the light of the sun is analogous, rules over our knowledge and the (real) being of the objects of our knowledge (the forms/ eidos) which are the offspring of the ideas or that which brings the visible things to appearance and, thus, to presence or being and also over the things that the light of the sun gives to vision:

“This, then, you must understand that I meant by the offspring of the good that which the good begot to stand in a proportion with itself: as the good is in the intelligible region with respect to intelligence (DE) and to that which is intellected [CD], so the sun is (light) in the visible world to vision [BC] and what is seen [AB].”

Republic Bk VI 508-511

Details of the Divided Line
Below is a summation of some of the thoughts and thinking contained in the Divided Line.

The sphere of space encloses the beings that are in Time. The soul of human beings is eternally in Time. When the soul is assimilated into the One that is the Good, it ceases to be in Time. Nature is eternally in Time: it is sempiternal. “Time is the moving image of eternity.” Nature is “sempiternal”, everlasting, endless. In the illustration to the left, the Divided Line AE should be seen as the circumference of the sphere that is space.

The whole of the Divided Line may be outlined into five sections. Although only four sections are spoken of in the dialogue, the Idea of the Good is implied throughout, though it cannot be properly spoken of as a “section”: a) The Idea of the Good : to the whole of AE; b) the Idea of the Good : DE, the things of the Spirit thought and knowledge; c) DE the things of the Spirit and the contemplation, attention given to them : CD the thinking upon the things of the Spirit; d) BC physical objects and the thinking associated with them= CD the forms/eidos and ideas; e) BC the physical objects and the thinking related to them : AB physical objects and imagination.

Using Euclid’s Elements, we can examine the geometry inherent in the Divided Line and come to see how it is related to the notion of thinking and being. Notice that the Idea of the Good is left out of the calculations conducted here, and this is because it is an incalculable “one”.
Let the division be made according to the prescription:

(A + B): (C + D): : A : B:: C: D.
From (A + B): (C + D): : C: D follows (Euclid V, 16)
(1) (A + B) : :C : (C + D) : D. From A :B : : C: D follows (Euclid V. 18)
(2) (A + B) : B : : ( C + D) : D. Therefore (Euclid V, 11)
(3) (A + B) : C : : (A + B) :B and consequently (Euclid V, 9)
(4) C= B.

The whole line itself (AE) is the Good’s embrasure of both Being and Becoming, that which is within both Time and Space. This embrasure is spherical in shape. (Their geometry showed to the Pythagoreans that our world was spherical and not flat, contrary to the popular notion believed today.) The Good itself is beyond Being and Becoming (i.e., Space and Time), and there is an abyss separating the Necessary (which is both Space and Time) from the Good.

Within the Divided Line, that which is “intellected” (CD) is equal to (or the Same i.e., a One) as that which is illuminated by the light of the Sun in the world of vision (BC). Being and Becoming require the being-in-the-world or participation of human beings i.e., B = C. That which is “intellected”, held in attention or contemplation (the schema, Necessity) is that which comes into being or can come into being through imagination and representational thinking, through images (or the assigning of numbers or signs to images as is done in geometry or algebra) or through the logoi or words of narrative and myth. This representational thinking in images is what we call “experience”, and it is technē as a way of knowing, the knowing of the artisan and the technician.

Below is a more detailed description of the Divided Line:


E. The Idea of the Good: Agathon, Gnosis “…what provides the truth to the things known and gives the power to the one who knows, is the idea of the good. And, as the cause of the knowledge and truth, you can understand it to be a thing known; but, as fair as these two are—knowledge and truth—if you believe that it is something different from them and still fairer than they, your belief will be right.” (508e – 509a) The Idea of the Good is the essence of things that come to be whether in the Visible or Invisible realms. The Good is beyond both Time and Being. When the soul is in direct contact with the Good, gnosis is achieved and the soul is no longer in Time for it becomes part of the One of all that is. The Good is responsible for (aitia) knowledge and truth (aletheia) or the unconcealment of all that is.

D1. Ideas ἰδέαι: Begotten from the Good and are the source (archai) of the Good’s presence (parousia) in that which is not the Good, both in being and becoming. The Good is seen as “the father” whose seeds (ἰδέαι) are given to the receptacle or womb of the mother (space) to bring about the offspring that is the world of AE (time) within space. The realm of AE is the realm of the Necessary. (Dialogue Timaeus 50-52 which occurs the following morning after the night of Republic). Because they are begotten from the Good, they are the essence of things, their “oneness”, what they are through Time. The ἰδέαι beget the eidos which bring beings to presence in time (ousia) for human beings. The things come to a stand through the eidos.D2. Intellection (Noesis): Noesis is often translated by “Mind”, but “Spirit” might be a better translation. Contemplation, attention, dialectic are the activities of noesis. It is that thinking and thought which is beyond what we commonly understand as thought and thinking. Knowledge (γνῶσις, νοούμενα) intellection, the objects of “reason” (Logoi, but not understood as “logistics”) (νόησις, ἰδέαι, ἐπιστήμην). “Knowledge” is permanent and not subject to change as is “opinion”, whether “true” or “false” opinion. Opinions develop from the pre-determined seeing which is the under-standing of the essence of things that is prevalent at the time. Understanding is prior to the interpretations of things and the giving of names to things.
C1. Forms (Eide): Begotten from the Ideas, they give presence to things through their “outward appearance” (ousia). There is no-thing without thought; there is no thought without things. Human being is essential for Being. Being needs human being. “And would you also be willing,” I said, “to say that with respect to truth or lack of it, as the opinable is distinguished from the knowable, so the likeness is distinguished from that of which it is the likeness?” The ‘shapes’ of things (eide) such as the city or society as the individual writ large. The polis or the city is a city of artisans and technicians, of technē. “The knowing one’s way about or within something” caters to the production of novelty, efficiency. The logos, like Eros itself, is two-faced or of two types. The jumping-off point, the leap, is the recognition that the Sun in the realm of Becoming (Time), like the idea of the Good in the realm of Being, is responsible for everything that is. The Sun is Time as “the moving image of eternity”, and all that is in being owes its existence to Time. The Good is eternity, and all that is in Being and Becoming owes its existence to the idea of the Good.C2. Thought (Genus) Dianoia is that thought that unifies into a “one” and determines a thing’s essence. The eidos of a tree, the outward appearance of a tree, is the “treeness”, its essence, the idea in which it participates. We are able to apprehend this outward appearance of the physical thing through the “forms” or eide in which they participate for these give them their shape.
Understanding as hypothesis (διανόια). The “hypothesis” is the “standing under” of that seeing that is thrown forward, the under-standing, the ground. Thought under-stands the limits and boundaries of things and gives them “measure” through the use of number or logoi. The giving of measure to the seeing is geometry, and from it the hearing of the harmonia of music, the music of the spheres, is recognized and produced. Thought comprehends the “measure” of things that brings about a “harmony” . The proportionals are arranged about a “mean” which is hidden or “irrational”. The principle of stringed instruments and their ratios is applicable to the whole of the universe, both the visible and the invisible.
B1. The physical things that we see/perceive with our senses (ὁρώμενα, ὁμοιωθὲν). The things that are at our disposal, the ready-to-hand. Ousia presence is understood as the thing’s way of being-in-the-world. The city or society is the individual writ large. The desires of the body and the needs of the body. Eros is both “fullness” and “need”. Sexuality, procreation, food, drink, etc. BC as the point where we see the two faces of Eros. The wants and needs of the body are radically private and at the same time require other human beings for their fulfillment. The city or polis is an artifact, a product of human making through convention, a Cave. The world of the Cave and the world outside of the Cave are the same world seen differently. There are not two worlds in Plato.B2. Trust, confidence, belief (πίστις) opinion, “justified true beliefs” (δόξα, νοῦν). Opinion is not stable and subject to change. The changing of the opinions that predominate in a community is what is understood as “revolution”. “Then in the other segment put that of which this first is the likeness—the animals around us, and everything that grows, and the whole class of artifacts.” The movement downwards to the techne of the artisans and technicians. The logoi of word and number.
A1. Eikasia Images Eikones: Likenesses, images, shadows, imitations, our vision
(ὄψις, ὁμοιωθὲν). The “icons” or images that we form of the things that are. The statues of Daedalus which are said to run away unless they are tied down (opinion). It is the logoi which ‘ties things down’. The technē or artisan as the servant of the people: “in another, for another”. The technē is the master of the ‘part’, his own art, his ‘know- how’, that knowledge that the philosopher aspires to for the whole of things. The distinction between the simple narrative of poetry and the ‘imitative’ or dramatic narrative. Music and its geometry which leads to the love of the beautiful. All music is ‘imitative’ of the ‘music of the spheres.’ The harmony of music and the harmony of the individual soul is in moderation sophrosyne. Public care and concern (spiritedness) is linked to self-interest. Art (and we mean only great art here) and justice are identical.
A2. Imagination (Eikasia): “Now, in terms of relative clarity and obscurity, you’ll have one segment in the visible part for images. I mean by images first shadows, then appearances produced in water and in all close-grained, smooth, bright things, and everything of the sort, if you understand.” The “representational” thought which is done in images. Our narratives, myths and that language which forms our collective discourse (rhetoric). Conjectures, images, (εἰκασία). The image of a thing of which the image is an image are things belonging to eikasia. We are “reminded” of the original by the image: the Beauty of Nature is the image that reminds us of the Good.
The Divided Line

Every thought and all of our thinking is a product of, or “re-collection” (anamnesis) from experience: we have to first experience before we can “re-collect” that which we have experienced and turn this into a technē. This re-collection is what is referred to as dianoia, the bringing of the separate parts into a “one”. This may account for the confusion between the concepts of eidos and ἰδέαι in the interpretations of Plato.

The ἰδέαι is number as the Greeks understood them; the eidos is number as we understand them: the two concepts represent the “double” nature of thinking (which is mirrored in the two-faced nature of Eros and of the Logos) and the distinction between thought and Intellection when understanding the Divided Line. These distinctions show why there is no separation of “consciousness” from “conscience” for “consciousness” is of those things that are “real”; awareness of the shadows of things is not “consciousness” and thus not knowledge. “No one knowingly does evil.”

The eidos of “three” is composed of three “ones” or units which we arrive at by counting, arithmos 1+1+1. This sequence of “ones” is how we understand Time, as a sequence of distinct units which we call “nows” which progress in a straight line. The idea of “three” is a “one” composed of three and it is achieved through intellection or contemplation. It is the source of the Christian mystery of the Trinity, the three-in-one God. The ἰδέαι beget the eidos and, like a father to his offspring, the father and the child are akin to each other yet separate. Intellection is akin to thinking as it is commonly understood yet separate from that thinking. (See the example in the dialogue Meno of whether or not the father can pass on his knowledge of arête or virtue to his offspring.)

Eide + logoi + ideai: the things seen and heard require a “third”. “Light” is the “third” for seeing as well as what we understand as “air” (aether) for hearing. Arete virtue or human excellence cannot be found present without knowledge and the accompanying “third”, the good. “The outward appearances of the things” + “the light” which “unconceals” them + the idea as that which begets both the outward appearance and the unconcealment. The Sun is an image of the Good in the realm of Becoming because “it gives” lavishly and, as the third, “yokes together” that which sees and that which can be seen. Neither sight itself nor that in which it comes to be (the “eye”) are the Sun itself. The Sun is not sight itself but its “cause” (aitia understood as “responsible for” and “indebted to”). The Sun is the offspring of the Idea of the Good begot in a
proportion with itself: The Good = 1 : the Sun the square root of 5/2 , so (1 + √5)/2). The two together, the Good and the Sun, give what we call the Divine Ratio. 508 c. “As the Good is in the intelligible region with respect to intelligence and what is intellected, so the Sun is in the visible region with respect to sight and what is seen”. (“Faith is the experience that the intelligence is enlightened by Love”.)

The Sun = Time; and from it things come to be and pass away. “Time is the moving image of eternity” i.e., the Sun is Time which is the movement of that which is permanent or ‘eternal’, i.e., The Good, which is that which is beyond the limiting spherical shape which is Necessity which is represented by this limiting spherical shape. “Faith is the experience that the intelligence is illuminated by Love.” Pistis trust or faith is the “experience”, the “contact with reality”, that the intelligence realizes when it is given the light of Love or the Good. This truth aletheia is proportional to the truth aletheia which is the unconcealment of things of the senses in the physical realm when revealed by the Sun i.e., the beauty of the world. This is the
distinction between the “higher” and “lower” form of Eros. The ascent or movement upwards is into “the depth of things”, while the descent deals with their surfaces and imitations.

We can see here some connections to evil. Evil abhors contact with reality and evil-doers will construct a world in which this contact with reality is lessened whether it be by choice through “intentional ignorance” or by active doing through propaganda or gaslighting or by some other misuse of the logoi to create a world in which their evil doing is allowed to flourish. It may occur through the destruction of the logoi such as is seen in the burning and banning of books and thus becomes a conscious anti-Logoi. Because contact with reality is illuminated by Love, the deprivation of love will give rise to hatred and violence; human beings become less humane. Within this world, the soul becomes shrunken or shallow and lashes out at its own betrayal of itself. This is the root of what will be called “malignant narcissism” in Part IV of this writing.

The soul, “when it fixes itself on that which is illuminated by truth” and that which is, “intellects”, knows, and appears to possess intelligence (gnosis). When it fixes itself on that which is mixed with darkness, on coming into being and passing away, it opines and is dimmed. What provides truth to the things known and gives illumination or enlightenment to the one who knows is the Idea of the Good. The Idea of the Good is responsible for (the “cause of”)
knowledge and truth. It is responsible for the beautiful, and that which makes things beautiful (the eidos and idea of the thing). But the Good itself is beyond these. It is the Good which provides “the truth” to the things known, truth understood as aletheia or unconcealment.

As the eye and that which is seen is not the Sun, so knowledge and the things known are not the Good itself i.e., those things that are “goods” for us. When Glaucon in Republic equates the Good with “pleasure”, Socrates tells him to “Hush” for he is uttering a “blasphemy”. It is clear that what is being spoken about here is a “religious phenomenon”. The soul Psyche, “the most beautiful of mortals”, is wedded to Eros who is the offspring of Aphrodite (Beauty) and Ares (“Spiritedness”), and for Plato, these characteristics were the nature of the soul. (In some versions of Greek theogony, Aphrodite is wed to Hephaestus the artisan and technician of the gods.) (For Christians, this may also be understood by Christ’s words “I am the bridegroom and you are the bride”.)

In the Divided Line, since C = B the inequality in length of the “intelligible” and “visible” subsections depends only on the sizes of A (Imagination) and D (Intellection). If then, A: B: B: D or A: C:: C: D, A: D is in the duplicate ratio of either A: B or C: D (Euclid V, Def. 9). This expresses in mathematical terms the relation of the power of “dialectic”, the discursive conversations between friends, to the power of eikasia, the
individual and collective imaginations of human beings. (To put it in modern terms and our relations of thought to our actions, it is the difference between the face-to-face conversations among friends and the collective conversations of social media chat groups, but any other collective is also apt. Modern “talk therapy” in psychology is just another attempt at “dialectic”.) If we imagine
the Divided Line as two intersecting gyres, we may be able to see how this ‘double’ thinking, learning and seeing is possible. Thinking can be either an ascent into the realm of ideas aided by the beauty of the outward appearances of things (eidos) or the dialectical conversation of friends, or thinking can be a descent into the realm of material things using the imagination (eikasia) and the rational applications of the relations of force i.e., the laws of cause and effect and of contradiction (Necessity).

At the end of Book VI of the Republic (509D-513E), Plato describes the visible world of perceived physical objects and the images we make of them (what we call “representational thinking”). The sun, he said, not only provides the visibility of the objects, but also generates them and is the source of their growth and nurture. This visible world is what we call Nature, phusis, the physical world in which we dwell.

Beyond and within this visible or sensible world lies an intelligible world. The intelligible world is illuminated by “the Good”, just as the visible world is illuminated by the Sun. The Sun is the image of the Good in this world. The Good provides growth and nurture in the realm of Spirit, or that which is Intellected, the ‘fire catching fire’. For Socrates and Plato, the world is
experienced as good, and our experience of life should be one of gratitude. The world is not to be experienced as a “dualism”, for a world without human beings is no longer a “world”. Human beings may construct their own worlds from their imaginations, but there is a real world beyond these.

The division of Plato’s Line between Visible and Intelligible appears to be a divide between the Material and the Ideal or the abstract. This appearance became the foundation of most Dualisms, particularly the Cartesian dualism of subject-object which is the foundation of modern knowledge and science. To see it as such a dualism overlooks the fact that the whole is One and the One is the Good. Plato is said to have coined the word “idea” (ἰδέα), using it to show that the outward appearances of things (the Greek word for shape or form εἶδος) are the offspring of the “ideas”, and are akin to the ideas, but they are not the ideas themselves. They are the Same, but not Identical. The word “idea” derives from the Greek “to have seen”, and this having seen a priori as it were, determines how the things will appear to the eye which is “sun-like” i.e., it shares something in common with the light itself and with the sun itself. This
commonality is what we mean by our understanding and experience.

The upper half of the Divided Line is usually called Intelligible as distinguished from the Visible, meaning that it is “seen” and ‘has been seen’ by the “mind” (510E). Mind is a translation of the Greek Nous (νοῦς), and it indicates that ‘seeing’ that is done with the mind rather than with the eye. (In English grammar it becomes “noun” and is a requirement for all statements that are made.)

Whether we translate nous as ‘mind’ or ‘spirit’ has been a topic of controversy in academic circles for many centuries. The translation as ‘mind’ seems to carry a great deal of baggage from our understanding of human beings as the animale rationale, “the rational animal.” Understanding in this manner has come to render what we consider thinking, as the ‘rational’ and ‘logistics’. Thinking has to do with reason only, the principle of reason which is composed of the principles of cause and effect and the law of contradiction. It is clear from Plato’s Divided Line that this is only one aspect of thinking. There is a thinking that is higher than the rational and it is this thinking that distinguishes the scientists from the philosophers.

In modern English, the word “knowledge” derives from “to be cognizant of”, “to be conscious of”, or “to be acquainted with”; the other stems from “to have seen”, “to have experienced”. The first is the cognate of English “know” e.g., Greek gnosis (γνῶσις), meaning knowledge as a direct contact with or an experience of something or someone. “And he knew her” is the intimate knowledge of a person that derives from sexual intercourse with that person. For knowledge, the Greeks also used epistέme (ἐπιστήμη), the root for our word “epistemology”, ‘the theory of knowledge’. Gnosis and epistέme are two very different concepts: gnosis can be understood as direct contact with the object of knowledge, while epistέme is more related to the results of “theoretical knowledge” which reside in the realm of opinion. Socrates asserts, against all common sense, that it is “cognition” which is the difference between the honest man and the dishonest man; obviously, Socrates must have a very different understanding than we do of what “cognition” or consciousness is. ‘Seeing’ is what we understand by ‘knowledge’. We shall have to see how this understanding of ‘seeing’ and thinking are related and how Socrates distinguishes between them. Thinking is not merely ‘technical knowledge’ or technē.

This stem of “to have seen” is what is rooted in the idea of “re-collection” with the associated meanings of “collecting” and “assembling” that are related to the Greek understanding of logos. Logos is commonly translated as “reason” and this has given it its connections to ‘logic’ and ‘logistics’ as the ‘rational’ and ultimately to human beings being defined as the animale rationale, the “rational animal” by the Latins rather than the Greek zoon logon echon, or “that
animal that is capable of discursive speech”. Discursive speech, dialectic, and logos in general are not what we understand by “reason” only. “Intellection”, contemplation, attention as it is understood in Plato’s Divided Line is not merely the principle of cause and effect and the principle of contradiction.

In Republic, Book VI (507C), Plato describes the two classes of things: those that can be seen but not thought, and those that can be thought but not seen. The things that are seen are the many particulars that are the offspring of the eidos, while the “ones” are the ideai which are the offspring of the Good. As one descends from the Good, the clarity of things becomes dimmer until they are finally merely ‘shadows’, deprived of the light of truth because of their
greater distance from the Good.

As there are many particular examples of human “competence” or “excellence” (arête), there is the one competence or excellence that all of these particular examples participate in. This “one” is the idea and the idea is itself an offspring of the Good, the original One. The idea is the ‘measure’ of the thing and how we come to “measure up” the thing to its idea. (Our notion of the hierarchy of the “ideal” derives from this, and consequently what our notions of good and bad are, better and worse, etc. or what has come to be called our “subjective values”. It is here that the greatest distinction between the moderns and the ancients can be seen: Nature and our being-in-the-world is not something that we measure but something by which we are measured.) It is through this measuring that the thing gets its eidos or its “outward appearance”; and in its appearance, comes to presence and to being for us.

At Republic, Book VI, 508B-C, Plato makes an analogy between the role of the Sun, whose light gives us our vision to see (ὄψις) and the visible things to be seen (ὁρώμενα) and the role of the Good (τἀγαθὸν). The Sun “rules over” our vision and the things we see since it provides the light which brings the things to ‘unconcealment’ (aletheia or truth). The Good “rules over” our knowledge and the (real) objects of our knowledge (the forms-eide, the ideas) since it provides the truth in this realm: the contact with reality is the truth that is revealed by the Good–”Faith is the experience that the intellect is illuminated by Love.”: “This, then, you must understand that I meant by the offspring of the good which the good begot to stand in a proportion with itself: as the good is in the intelligible region to intellection [DE] and the objects of intellection [CD], so is this (the sun) in the visible world to vision [AB] and the objects of vision [BC].”

As the Sun gives life and being to the physical things of the world, so the Good gives life and being to the Sun as well as to the things of the ‘spiritual’ or the realm of the ‘intellect’. That which the Good begot is brought to a stand (comes to permanence) in a proportion with itself. These proportions are present in the triangles of the geometers.

At 509D-510A, Plato describes the line as divided into two sections that are not the same (ἄνισα) length. Most modern versions represent the Intelligible section as larger than the Visible. But there are strong reasons to think that for Plato, the Intelligible is to the Visible (with its many concrete particulars) as the one is to the many. The Whole, which is a One, is greater than the parts. The part is not an expansion of the Whole but the withdrawal of the Whole to
allow the part to be as separate from itself, or rather, to appear as something separate from itself since the part remains within the Whole. In this separation from the Whole, the part loses that clarity that it has and had in its participation in the Whole. (It is comparable to the square spoken of earlier from the Meno dialogue: the original square withdraws to allow the “double” to be.)

When Plato equates B to C, we can understand that the physical section limits the intelligible section, and vice versa. We cannot have what we understand as ‘experience’ without body, and we cannot have body without intellect. We place the intelligible section above the physical section for the simple reason that the head is above the feet.

Plato then further divides each of the Intelligible and the Visible sections into two. He argues that the new divisions are in the same ratio as the fundamental division. The Whole, not being capable of being ascribed an “image” by a line is, to the entire line itself, as the ratio of the Good is to the whole of Creation. The whole of Creation is an “embodied Soul”, just as the human being is an “embodied soul” and is a microcosm of the Creation. Just as the Good
withdraws to allow Creation to be, Creation withdraws to allow the human being to be.

Later, at 511D-E, Plato summarizes the four sections of the Divided Line:

“You have made a most adequate exposition,” I said. “And, along with me, take these four affections arising in the soul in relation to the four segments: intellection (contemplation, attention) in relation to the highest one, and thought in relation to the second; to the third assign trust (faith, belief), and to the last imagination. Arrange them in a proportion, and believe that as the segments to which they correspond participate in truth, so they participate in
clarity.”

Republic, 510 d – e

We can collect the various terms that Plato has used to describe the components of his Divided Line. Some terms are ontological, describing the contents of the four sections of the Divided Line and of our being-in-the-world; some are epistemological, describing how it is that we know those contents. There is, however, no separation between the two, just as there is no separation between the components of the soul.

Notice that there is a distinction between “right opinion” and “knowledge”. Our human condition is to stand between thought and opinion. “Right opinion” is temporary, historical knowledge and thus subject to change, while “knowledge” itself is permanent. The idea of the Good is responsible for all knowledge and truth. Such knowledge is given to us by the geometrical “forms” or the eide which bring forward the outward appearances of the things that give them their presence and for which the light of the Sun is necessary. “Knowledge” as episteme and knowledge as gnosis are also distinguished.

By insisting that the ratio or proportion of the division of the visibles (AB : BC) and the division of the intelligibles (CD:DE) are in the same ratio or proportion as the visibles to the intelligibles (AC:CE), Plato has made the sections B = C. Plato at one point identifies the contents of these two sections. He says (510B) that in CD the soul is compelled to investigate, by treating as images, the things imitated in the former division (BC):

“Like this: in one part of it a soul, using as images the things that were previously imitated (BC), is compelled to investigate on the basis of hypotheses and makes its way not to a beginning but
to an end (AB); while in the other part it makes its way to a beginning that is free from hypotheses (DE); starting out from hypothesis and without the images used in the other part, by
means of forms (eide) themselves it makes its inquiry through them.” (CD)

Plato distinguishes two methods here, and these emphasize the “double” nature of how knowledge is to be sought and how learning is to be carried out. The first (the method of the mathematician or scientist and what determines our dominant method today) starts with assumptions, suppositions or hypotheses (ὑποθέσεων) – Aristotle called them axioms – and proceeds to a conclusion (τελευτήν) which remains dependent on the hypotheses or axioms,
which again, are presumed truths. We call this the ‘deductive method”, and it results in the obtaining of that knowledge that we call episteme. This obtaining or end result is the descent in the manner of the ‘double’ thinking that we have been speaking about; we descend from the general to the particular. This type of thinking also involves the ‘competence’ in various technai or techniques that are used to bring about a ‘finished work’ that involve some ‘good’ of some
type i.e., it is ‘useful’ for something. The seeing views the ‘artifacts’, the things made by human beings, not the things made by nature. This technai as knowledge is the ‘knowing one’s way about or in something’ that brings about the ‘production’ or ‘making’ of some thing that we, too, call knowledge be it shoemaking and the pair of shoes that is its end, or the making of artificial intelligence. The end result, the ‘work’, provides some ‘good’ for us in its potential use. This is the light of the fire behind the puppet stage that is shown in the Allegory of the Cave.

In the second manner, the “dialectician” or philosopher advances from assumptions based on trust or belief (opinion) to a beginning or first principle (ἀρχὴν) that transcends the hypotheses (ἀνυπόθετον), relying on ideas only and progressing systematically through the ideas. The ideas or noeton are products of the ‘mind’ or ‘spirit’(nous) that the mind or spirit is able to apprehend
and comprehend due to the intercession of the Good as an intermediary, holding or yoking itself and the soul of the human being in a relationship of kinship or friendship, harmonia. The ideas are used as stepping stones or springboards in order to advance towards a beginning that is the whole. The ‘step’ or ‘spring’ forward is required to go beyond the kind of thinking that
involves a descent. The beginning or first principle is the Good and this is the journey to the Good or the ascent of thinking towards the Good itself as is indicated in the Allegory of the Cave. The ideas are not created by human beings, but are apprehended by human beings. Historically, the ideas have become understood as “values” due to the influence of the philosopher Nietzsche.

Plato claims that the dialectical “method” or way of proceeding (and it is questionable what this “method” is exactly), which again must be understood as the conversations between friends, between a learner and teacher for example or a psychiatrist and his patient, is more holistic and capable of reaching a higher form of knowledge (gnosis) than that which is to be achieved through ‘theoretical knowledge’ or episteme. This possibility of gnosis is related to the Pythagorean notion that the eternal soul has “seen” all these truths in past lives (anamnesis) in its journey across the heavens with the chariots of the gods. (Phaedrus 244a – 257 b).

Plato does not identify the Good with material things or with the ideas and forms. Again, these are in the realm of Necessity; Necessity is the paradigm or the divine pattern, the schema. This schema involves the realms of Time and Space. The Good is responsible for the creative act that generates the ideas and the forms; and that which is is indebted to the Good for its being. The ideas and the forms are ‘indebted to’ the Good for their being and from them emerge truth, justice, and arête or the virtues/excellences of things and beings.

If we put the mathematical statement of the golden ratio or the divine proportion into the illustrations of the Divided Line and the gyres (1 + √5)/ 2), the 1 is the Good, or the whole of things, and the “offspring of the Good” (the “production of knowledge” BC + CD) and the whole of AE is the √5 which is then divided by 2 (the whole of creation: Becoming, plus Being, plus the
Good or the Divine), then we can comprehend the example of the Divided Line in a Greek rather than a Cartesian manner. Plato is attempting to resolve the problem of the One and the many here.

The city’s outline, or the community in which human beings dwell, should be drawn by the painters who use the divine pattern or paradigm (schema) which is revealed by Necessity (500 e). In the social and political realm, the individual must first experience the logoi in order to become balanced in the soul as far as that is possible. This experience, this speech with others, will provide moderation (sophrosyne), justice (recognition of that which is due to other human beings) and proper virtue (phronesis) which is ‘wise judgement’.

If we put this into modern realities, it is said that more than 50% of the American population is capable of only reading at the 12 year-old level. This lack of education can only result in unbalanced souls. According to a 2020 report by the U.S. Department of Education, 54% of adults in the United States have English prose literacy below the 6th-grade level. Since the USA is a society based on the social contract, we can only say that this is an indication of the failure of that social contract.

Socrates says (510B) that in CD the soul is compelled to investigate by treating as images the things imitated in the former division (BC). In (BC), the things imitated are the ‘shadows’ of the things as they really are. These are the realms of ‘trust’ and ‘belief’ (pistis) and of understanding or how we come to be in our world. Our understanding derives from our experience and it is based on what we call and believe to be “true opinion”.

There is no “subject/object” separation of realms here, no abstractions or formulae created by the human mind only (the intelligence and that which is intellected), but rather the mathematical description or statement of the beauty of the world. In the Divided Line, one sees three applications of the golden ratio: The Good, the Intelligible, and the Sensible or Visual i.e., the Good in relation to the whole line, The Good in relation to the Intelligible, and the Intelligible in relation to the Visible. (It is from this that I understand the statement of the
French philosopher Simone Weil: “Faith is the experience that the intelligence is illuminated by Love.” Love (Eros) is the light which is given to us and illuminates the things of the intelligence and the things of the world, what we “experience”. This illumination is what is called Truth for it reveals and unconceals things. There is a concrete tripartite unity of Goodness, Beauty and
Truth. The word ‘faith’ in Weil’s statement could also be rendered by ‘trust’ or pistis.)

This tripartite yoking of the sensible to the intelligible and to the Good corresponds to what Plato says is the tripartite being of the human soul and the tripartite Being of the God who is the Good. The human being in its being is a microcosm of the Whole or of the macrocosm. The unconcealment of the visible world through light conceived as truth (aletheia) is prior to any conception of truth that considers “correspondence” or “agreement” or “correctness” as
interpretations of truth. (See William Blake’s lines in “Auguries of Innocence”: “God appears and God is Light/ To those poor souls that dwell in night/ But does the human form display/ To those who dwell in realms of day.”)

One of the questions raised here is: do we have number after the experience of the physical, objective world or do we have number prior to it and have the physical world because of number? The original meaning of the Greek word mathemata is “what can be learned and what can be taught”. What can be learned and what can be taught are those things that have been brought to presence through language (logos) and measured in their form or outward
appearance through number (logos). Our understanding of number is what the Greeks called arithmos, “arithmetic”, that which can be “counted” and that which can be “counted on” through “measuring”. These numbers begin at 4.

Theory of Knowledge: An Alternative Approach

Why is an alternative approach necessary?