The November 2025 TOK Essay Prescribed Titles

A few notes of warning and guidance before we begin:

The TOK essay provides you with an opportunity to become engaged in thinking and reflection. What are outlined below are strategies and suggestions, questions and possible responses only, for deconstructing the TOK titles as they have been given. They should be used alongside the discussions that you will carry out with your peers and teachers during the process of constructing your essay.

The notes here are intended to guide you towards a thoughtful, personal response to the prescribed titles posed.  They are not to be considered as the answer and they should only be used to help provide you with another perspective to the ones given to you in the titles and from your own TOK class discussions and research. You need to remember that most of your examiners have been educated in the logical positivist schools of Anglo-America and this education pre-determines their predilection to view the world as they do and to understand the concepts as they do. The TOK course itself is a product of this logical positivism.

There is no substitute for your own personal thought and reflection, and these notes are not intended as a cut and paste substitute to the hard work that thinking requires. Some of the comments on one title may be useful to you in the approach you are taking in the title that you have personally chosen, so it may be useful to read all the comments and give them some reflection.

My experience has been that candidates whose examples match those to be found on TOK “help” sites (and this is another of those TOK help sites) struggle to demonstrate a mastery of the knowledge claims and knowledge questions contained in the examples.  The best essays carry a trace of a struggle that is the journey on the path to thinking. Many examiners state that in the very best essays they read, they can visualize the individual who has thought through them sitting opposite to them. To reflect this struggle in your essay is your goal.

Remember to include sufficient TOK content in your essay. When you have completed your essay, ask yourself if it could have been written by someone who had not participated in the TOK course (such as Chat GPI, for instance). If the answer to that question is “yes”, then you do not have sufficient TOK content in your essay. Personal and shared knowledge, the knowledge framework, the ways of knowing and the areas of knowledge are terms that will be useful to you in your discussions.

Here is a link to a PowerPoint that contains recommendations and a flow chart outlining the steps to writing a TOK essay. Some of you may need to get your network administrator to make a few tweaks in order for you to access it. Comments, observations and discussions are most welcome. Contact me at butler.rick1952@gmail.com or directly through this website.

https://drive.google.com/open?id=0B-8nWwYRUyV6bDdXZ01POFFqVlU

sine qua non: the opinions expressed here are entirely my own and do not represent any organization or collective of any kind. Now to business…

The Titles

  1. For historians and artists, do conventions limit or expand their ability to produce knowledge? Discuss with reference to history and the arts.

The first essay title asks us to define and understand what “conventions”, “limitations” and “expansion”, “the ability to produce”, and what “knowledge” is in the arts and history. Examining these terms closely will help the student to get their bearings within the areas of knowledge of history and the arts and of the perspectives from which the questions unfold from out of those areas of knowledge.

First of all, the title indicates that “knowledge” is something that is able to be “produced”. To “produce” is “to make” or to “bring forth”, to bring into existence something from out of materials or components that are ready-to-hand and already in existence. To “produce” can also mean “to cause or bring about a result”. This “causing” indicates that something is responsible for an end result.

For example, if we look at our word “information”, we will see that its suffix is “-ation” which derives from the Greek aitia meaning “that which is responsible for”. So the word “in-form-ation” may be said to mean “that which is responsible for the “form” so that it has the ability to “inform”. The “form” that was responsible for creating the ability to “inform” was called logos by the Greeks. We translate logos as “reason” or “rationality”, a type of thinking. When Albert Einstein complained to Werner Heisenberg that “God does not play dice”, Einstein’s position was based on his belief that the universe was ‘rational’, a “conventional” belief that he had inherited from Newton’s physics. The conventions of science are expressions of the ‘faith’ based on our belief in the axioms and principles of mathematics and how they relate to Nature.

The ‘forms’ of our thinking are what we understand as the ‘conventional’. The conventional from this thinking is where we get our “knowing”. “Making” and “knowing” is our word “technology”: techne being the craft of the artist, the artist’s “know-how”, the “making”, and logos being the “knowing” itself, that which allows the “making” to be possible. The “knowing” or logos establishes that “open region” that allows for the making of the tools of technology such as computers and handphones. “Information” is a type of knowledge that has been ‘brought forth’, and for many it is the only form of knowledge.

“Conventions” are the “opinions” of the many and they will always be found to be surrounded by politics, particularly in History, but also in the Arts. They provide the horizons, the limits, in which understanding and meaning are given to human beings in their lives. In our being-in-the-world, we are at the same time living in a number of “sub-worlds”. You are an IB student or teacher, but this is only one of a number of worlds that you occupy simultaneously and each of these worlds has a different logos with which you are familiar and within which you are “at home”. Other human beings live in other sub-worlds in which you are not at home because you lack the logos or the ‘expertise’, the “know-how” required to fit comfortably within that world.

For our title, the sub-worlds are the worlds of the arts and history, and each of these worlds has a specialized vocabulary that distinguishes those who live in these sub-worlds. Each of these sub-worlds has a logos which is unique to itself and the purpose of education is to provide the learning so that one may be able to enter into the various ‘sub-worlds’ or areas of knowledge as a ‘specialist’ and to be able to dwell comfortably and be ‘at home’ in that world . “Conventions” are the ways and the contents of the knowing that provide the base of understanding that allows one to enter into a sub-world. They are the sub-world’s “history”. They provide the horizons or limits within which the sub-world operates. When one decides to operate outside of the conventions of the sub-world, one will then use ‘imagination’ or ‘fantasy’ to do so. These two types of ‘thinking’ are not the same.

The AOK of History attempts to deal with a world of “facts”; and from that limited world, the logos or perspective of the historian builds from an understanding, which is given to him/her from “convention”, how those facts are to be interpreted, selectively choosing and shaping the meaning of those ‘facts’ into a ‘rational’ whole or form so that others may come to understand the significance of the events being discussed. History deals with the past, present, and future. Its concern is with Time. The purpose of studying history is to gain knowledge of the actions of others in the past so that we in turn will gain self-knowledge so that we can come to an understanding of our place in history so that we will be able to make ‘informed’ decisions in the future. In order for history to inform us, some ground rules must be followed in its telling. This is what is known as ‘convention’, and ‘convention’ is both limiting and at the same time liberating.

Thucydides

The historian relies on ‘rationality’ as that which brings the ‘facts’ to light to show them in their “truth”. The first historian of the West, the Greek Thucydides, wrote: “I have written my work, not as an essay which is to win the applause of the moment, but as a possession for all time.” History of the Peloponnesian War bk. 1, Ch. 22, sect. 18 (tr. Richard Crawley, 1874) Thucydides is saying that while his work is history, his writing of that history is “trans-historical”. His work rises beyond the rhetoric that is the logos of those who wish to gain fame in the present. He believes that his work will have something to say to those who wish to understand the essence of war and of power and so be able to ‘interpret’ these phenomenon in the future. Such knowledge will possibly prevent future cataclysms. His history outlines the end of that era known as the Periclean or Golden Age of Greek history due to the failure of the Athenians’ war against the Spartans. If Thucydides is right, reading his history should be helpful for us if we wish to understand the essence of, say, the USA at this moment in its politics. Thucydides is a ‘true historian’.

The propagandist, on the other hand, relies on ‘fantasy’, the ‘big lie’, the gaslighting that questions the reality of the facts themselves and is, thus, the ‘false historian’. Since we have ‘facts’ as a reality, we also have ‘interpretations’ of facts. The propagandist limits himself in the interpretation of facts by his lack of imagination or thoughtlessness. The interpretations of facts is the discourse of historians. Thucydides believes he has gotten to the ‘truth’ of the facts in his interpretation that is a product of his understanding. His truth ‘defines’ or places limits on the things which he is speaking of so that they can be understood, brought forth, and be capable of being spoken about. He must convey this truth through language (which is also another meaning of the Greek term logos) providing sufficient reasons for his interpretation of the things he has chosen to speak about.

The propagandist’s view, however, is “unlimited” according to the rules of convention for his view relies on ‘fantasy’, and fantasy is opposed to ‘rationality’ and to the ‘imagination’. The propagandist will not have evidence or sufficient reasons to support his perspectives on the facts that he has chosen. The propagandist is ‘anti-rational’ and abhors thinking in any form for thinking gives light to the lie that he is trying to propose. The propagandist requires thoughtlessness. Defining the propagandist as ‘anti-rational’, one can go so far as to say that the propagandist speaks the ‘insane’, the ‘irrational’ to the insane and irrational. The propagandist requires the ‘unlimited’ and the ‘unconventional’. Truth brings the facts to light. The lie obscures, hides, deceives and does so in an irrational logos. The end purpose of the lie is the achievement of power i.e. it is political, and all writing is finally political for it involves our being-with-others and our speaking to others. This is the reason why propagandists appeal to the ‘anti-rational’ emotions of the many to achieve their ends. The propagandist relies on the emotion of the moment, while the true historian attempts to rely on the timelessness of truth. The propagandist ultimately has no respect for his audience; and since this is the case, there can be no “expansion” of knowledge.

In the USA today, the “unlimited” is shown by those who believe that they are capable of living in the various sub-worlds that have been constructed without having the specialized logos required for true participation in those sub-worlds, for being ‘at home in’ those sub-worlds. They lack the techne, the know-how or skill required. They are like poor cobblers who bring forth nothing but ill-fitting shoes. One may think one has “knowledge” where, in fact, none exists. (See the quotation from Plato’s Laws noted below).

The most famous quote of Thucydides not only applies to geo-politics, it also applies to the actions of individual human beings: “The strong do what they can and the weak suffer what they must.” (History of the Peloponnesian War bk. 5, Ch. 89) The philosopher Nietzsche once said “Power makes stupid”, and this “stupidity” rests on the lack of self-knowledge that the “strong” exhibit in their lack of respect for conventions and laws. The propagandist has no ethics or morals and his will to power leaves nothing but wastelands in its wake. Thucydides’ quote applies to both individual human beings and to states.

Where ‘fantasy’ rules and dismantles the role of convention providing the illusion of ‘freedom’ in the ‘unlimited’ worlds of the propagandists, ‘imagination’ is the faculty that rules over the worlds of the arts. Fantasy and the imagination are not the same thing. “Novelty” is the end for “production” in the arts (“that which is responsible for”: -tion aitia; for that which is brought forth: pro forward, ducere to lead). “Novelty” is the bringing forth of the Same even though it may be considered “new”: a shoe is a shoe is a shoe. The ‘true artist’, like the ‘true historian’, attempts to change the way in which we view our human condition, to bring about a new or fresh perspective on the things that are. In our cobbler and shoe analogy, the true artist attempts to change the manner in which we view our feet!

Both fantasy and the imagination relate to our manner of viewing the world in which we live and give us our understanding of that world. How we first see our world will determine what can or will be brought forth from that world. (See Title #2) We cannot have hand phones and computers without first viewing the world “technologically”, and our viewing provides a space for the tools of technology to come into being, to be produced. The cobbler views a shoe differently than those who are not cobblers because he views a shoe from his techne.

William Blake

The English poet William Blake speaks of the “Divine Imagination” and he contrasts it with “Newton’s sleep”. “Newton’s sleep” was Blake’s view of convention: how the principle of reason (nihil est sine ratione: “nothing is without reason”) dominated our world of understanding and thus of ‘science’ or ‘knowledge’. It was and is the way in which we view the world. Today we might think of it at its apogee, which is Artificial Intelligence.

While we may view AI as ‘unlimited’ in its scope and possibilities, for an artist like Blake this is merely an illusion. Today, ‘imagination’ is a polite way of saying that something is false, and it is a common statement of the gaslighters. For Blake, however, the imagination is the central faculty of both the Divine and of human beings in contrast to ‘rationality’. Whereas the “conventional” seeing of Newton keeps us in a somnambulistic state, the imagination is all-embracing and liberating: “In your own bosom you bear your Heaven and Earth & all you behold; tho’ it appears Without, it is Within, in your Imagination, of which this World of Mortality is but a Shadow” (Jerusalem 71:17) For Blake, the imagination was the basis of all art and in the creative act, it was the completest liberty of the spirit. Many of Blake’s contemporaries thought he was ‘mad’. In Blake, the Daughters of Memory (convention, tradition) are often contrasted with the Daughters of Inspiration. “Imagination has nothing to do with memory.”

2. What is the relationship between knowing and understanding? Discuss with reference to two areas of knowledge.

(Any response to this title should also look at some of the points made in title #1 and title #3.)

For any “relationship” to be established, there must be something in common between the things that will allow that relationship to be possible. What do knowledge and understanding have in common and how are they related to each other? What do knowledge and understanding have in common with the limitations that are given within the horizons of the knowing and understanding of historians and the artists?

For the Greeks, the term metaxu is a word that means “between”, “among”, or “in the midst of”. It can also mean “meanwhile”, “in the meantime”, or “afterwards”. This ‘between’ has something to do with being and time for its meaning is adverbial in nature while also containing elements of the gerund. We could say that it is the ‘relationship’ itself that is ‘between’ knowing and understanding and dwells in the midst of what knowing and understanding are. It is a constant presence between the two and must be present for both to occur.

“Understanding” may be said to be “something in which you have a reason to believe”. It involves “faith” to some degree. Understanding may be said to precede knowledge, for there is no knowledge possible without first understanding. Understanding is “consciousness”, “awareness”. Understanding is our projection of possibilities for our being-in-the-world. Once understanding is established, one then proceeds to knowledge. Understanding is the prosthesis which allows knowledge to come to be.

Understanding is the horizons that are the limitations that are present in what is called knowledge in the areas of knowledge. Understanding is always present or ‘in the midst of’ what we call knowledge, just as knowledge is always present in how we understand some things. Understanding is the axioms or “common sense” from which we proceed to gain knowledge of some other thing. Under-standing is the grounding of our seeing, our vision, or how we view the world or worlds in which we happen to be involved. What is it that “stands under” what we think knowledge to be? How does this standing under provide a prosthesis for our moving forward in the quest for knowledge?

If for example we believe that “beauty is in the eye of the beholder”, our understanding is our belief in what we think ‘beholding’ to be. The understanding is the ‘beholding’ itself. From this, the possibilities for how we understand the Arts proceeds, and our ‘knowledge’ of those Arts will be spoken of in a language which shows what we think that ‘beholding’ to be i.e. it “proceeds” from out of that beholding itself and that ‘beholding’ is a projection of its possibilities.

If we think about the word ‘behold’, we can see that it is a viewing or a looking that creates a ‘grasping’, a ‘holding’ that gives ‘being’ or reality to something: be-hold. “Viewing” or “looking” is what the Greeks understood as theoria, and our word “theatre” “the viewing place” derives from it. The theory is produced from the manner of the “looking”. For the theory to proceed from the looking, the looking must give various possibilities. When this looking provides the being to things, ‘reality’ is given to things and then knowledge of the thing is made possible. This knowledge will then be expressed in a language that arises from out of such “be-holding”, and so we see that it is language or what the Greeks called logos that is the “relationship” between knowing and understanding. We translate logos by “reason”, but it is also language or ‘word’. The manner in which we view things is given justification through the provision of evidence. We know more about the things we have made than about the things we have not made. The evidence which is required for the being or existence of things are the sufficient reasons demonstrated in the results or outcomes that have occurred.

The giving of reality or being to something is to give that thing meaning or significance. The giving of meaning is to provide the thing with “significance” for us. Where ‘significance’ is lacking, meaning is lacking and some things become overlooked or ignored because they are believed to contain no possibilities. This giving of meaning to things provides us with the ‘know how’ that allows us to occupy our worlds securely. This is done through the axiom of the principle of reason (“Nothing is without a reason”). An axiom is a statement or proposition which is regarded as being established, accepted, or self-evidently true. It is based upon “faith”. It is the foundation of the area of knowledge we understand as mathematics. Mathematics is “that which can be learned and that which can be taught” i.e. the projected “possibilities” of reason. The axioms of mathematics are the logoi that derive from the principle of reason, “that which is thrown forward”. “Mathematical projection” is the realization of the possibilities of the things which we encounter in our day-to-day lives.

A principle is much like an axiom. It can be a fundamental truth or rule that serves as a basis for something i.e. a prosthesis, an under-standing, a support. Principles can be used in various contexts including science, ethics, and everyday life; for example, “The principle of relativity” in physics or “The principle of fairness” in ethics. Principles are statements that can be derived from observation, experience, or other principles, unlike axioms which are statements based on the self-evidently true. “Statements” are what we understand as the logoi, which is the relation between what is said about the thing and the thing said. We understand this saying about things as “judgement”.

-Logy” is a suffix that follows the naming of many of our areas of knowledge e.g. “bio-logy”, “psycho-logy”, etc. That the self-evidently true can be ignored is shown in USA’s Declaration of Independence: “We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.” Such a statement expresses a “faith” that can provide the motive or motion for an action that is an expression of a “belief” if it is taken to be true. If not taken to be true, it can simply be ignored. Self-evident truths are often ignored in our day-to-day lives if they are not convenient for us. This is particularly so in Ethics and Politics.

Through understanding, we disclose the meaning and the significance of the entities (things) and the experiences that we have not by simply knowing facts but by grasping their significance within the context of our being-in-the-world. Language is the fundamental tool for understanding as it allows us to express and share our experiences and interpretations of the world (the whole) and the worlds of which we are a part, the contexts and details that make up the experiences of our lives. In its broadest sense, language can be understood as both word and number. The axioms of mathematics and the rational discourse of the principle of reason are both “relationships” between knowing and understanding that are established by the logos be it word or number.

3. Should knowledge in an area of knowledge be pursued for its own sake rather than its potential application? Discuss with reference to mathematics and one other area of knowledge.

John Keats

A well-known gangster saying has it that ‘Blood is very expensive and bad for business.’ In the world of academic research for its own sake, “Truth, like blood, is very expensive and bad for business”. The poet John Keats once wrote: “Beauty is truth, truth beauty,—that is all/ Ye know on earth, and all ye need to know.”

In mathematics, as well as in many other areas of knowledge, those who are engaged in ‘pure mathematics’ do so because they find that what they do (the pure disinterested use of number) fills them with a sense of the overwhelming beauty of the world. The ‘true’ mathematician and the ‘true’ artist are engaged in what they do because of the beauty of what they encounter through their work. This encounter with beauty fills their lives with joy. In Sanskrit, the word is ananda or “bliss”. We may say that this encounter is the experience of the relationship between knowledge and truth and how truth illumines the reality of the world which the mathematician or artist inhabits (its beauty). The mathematician or artist will always be tempted by the ‘big bucks’ on offer for the ‘practical applications’ of the knowledge that they have. They have the choice to succumb to that temptation or to remain true to their ‘faith’. This choice is not an easy one for the simple reason that one needs to eat.

The propagandist, be they an historian or an artist, abhors the truth for the truth seeks to bring things to light while the propagandist wishes to hide the truth for it is a threat to his real interest, which is power. This power manifests itself most often in public prestige often showing itself in the form of money. Human being, in its nature, reveals truth. When it does not do so, it becomes ‘inhumane’. Corporate interests and their propagandists (their media advertisers) are not interested in truth or education since their end is to produce the mass society of mass consumption, the ‘city of pigs’ as it was designated in Plato. The artist who designs the media campaigns for the large corporations is not a true artist just as the historian who works as a gaslighter for political entities is not a ‘true’ historian since he does not report the truths as they relate to the facts.

Elon Musk

Earlier, I spoke of the English poet William Blake’s identification of the thinking of the scientist with what he called “Newton’s sleep”. For Plato (and Blake), science does not think in the way that thinkers think. This is science’s blessing for if it did think in the manner in which thinkers think we would cease to have all of the wonderful discoveries that science’s applications have produced. The thinking required to combat the general “thoughtlessness” of the sciences is not the kind of thinking that is to be found in the sciences. The thinking upon which the sciences are grounded is a form of nihilism since it is the principle of reason, the science itself, that gives being or reality to things. Elon Musk’s thinking, for example, is not the thinking of a thinker. It is the thinking of a technician. What is it that distinguishes the thinking of a technician from the thinking of the philosopher?

In Plato, the ideas give being to the things that are and cause them to come to appearance in their ‘outward form’ (eidos). The ideas are the logoi be they “word” or “number”, and the ideas as number are distinguished from the ones, twos and threes that we usually think of as numbers in our calculations. The ideas as “word” are different from our usual understanding of “words, words, words” as ‘information’. The thinking of the technician or the artist uses the ‘imagination’ or eikasia in order to enable his ‘know how’ or ‘technical skill’, his techne, to construct the product or end that he has in mind and bring that product into being be that product a pair of shoes or a poem. In the Divided Line of Plato from Bk. VI of his Republic, B=C: the ‘material world’ (B) is equal to that world that we understand through rational thought (C). Rational thought (C) is capable of ‘procreating’ an infinity of possibilities within the sempiternal character of created Nature (B). This is what we understand by ‘materialism’. There will always be new Nikes as there will always be new poems, but neither creation will be ‘great’. It will be the procreation or the bringing into being of the Same.

The knowledge that we understand as episteme or ‘theoretical knowledge’ is dependent on, and in a relation to, the higher section of the Divided Line that Plato outlines in Bk. VI of his Republic (D:C). Socrates (534 a 4-5) relates that dialectical noeisis, “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).” Socrates distinguishes the logos of the ‘spirit’ or nous that is used by the ‘dialectician’ from the logos of the imagination which is that used by the technician and the artist. The numbers and words of the ‘spirit’ are distinguished from the numbers and words of the creative artist and technician. For example, Socrates did not write books; Plato wrote books. Jesus Christ did not write books; his followers wrote the books. The Buddha did not write books; his followers wrote the books. These writings of the followers were the products of the “imagination”. They represented a knowledge of the individual (Socrates, Christ, the Buddha) that was a product of a gnosis or ‘direct experience’ of the individual; but in the writing this knowledge becomes ‘true opinion’, an ‘interpretation’.

The ideai are the logos: the ideas give to things their essence, their ‘whatness’, and thus their being, while the eidos (whether of word or number) gives them their “outward appearance”. The ideas are not the products of human beings but something which has been given to human beings. They are much like the axioms which we discussed under title #2. We have come to call these outward appearances of things “beauty”. The “outward appearance” of the thing is merely its ‘shadow’ i.e. it is the thing without its ‘light’, its logos, and it is its light (truth) which illuminates its truth and its ‘true beauty’. (That is why the Sun is a metaphor of the Good in the allegory of the Cave). According to Plato, the thinking which seeks the essences of things is that “noetic thinking” that we have come to call ‘geometry’. Geometry is now what we understand as ‘spacial relations’ between things but Plato understood ‘geometry’ as the possibility of the thing being brought into a relation of ‘harmony’ and friendship.

Over his academy Plato had the statement, “No one enters unless he knows geometry.” By this he meant that no one enters (gains knowledge) unless he knows “friendship” and is capable of friendship, of relationships. This knowledge of friendship is a gnosis or a knowing by direct experience and is a by-product of that self-knowledge which allows one to have the capability of being a friend.

The natural dianoia or ‘gathering together into a one’ which is the product of scientific rationalism (the turning of the thing into an object), is a ‘mirroring’ of that thinking that is dialectical noeisis. The “seeing” for one’s self becomes a ‘hearing’ from others on the ‘method’ or ‘plan’ that is to be used to bring about a desired result. While it is not knowledge as gnosis or direct possession or experience it, nevertheless, is ‘true opinion’. The distinction is shown in the example of the road to Larissa in the dialogue Meno of Plato where one has been given correct instructions on how to get there but has not personally undertaken the journey for themselves: if one follows the directions, one will get to Larissa.

The ‘should’ of the title implies an ethical choice: the humanity of human beings always implies ethical choices; they are what make us ‘humane’. If scientists thought the way that thinkers think, then we would not have the many wonderful discoveries that science has been able to produce through its applications, its techne. If the poet Keats is correct, then these discoveries have some ‘beauty’ in them and, therefore, truth. They are part of our ‘humaneness’.

The writings of a Plato and a Blake are not the usual writings that have been given to us. The ‘creativity’ of a Blake and a Plato, their use of the imagination, is different: their art leads to that thinking and that direct experience of beauty and truth which is not the product of the imagination. But the Blakes and Platos, like the philosophers and saints, are few and rare among us.

4. To what extent do you agree that however the methods of an area of knowledge change, the scope remains the same. Answer with reference to two areas of knowledge.

“Methods” may be said to be a particular form of procedure for accomplishing or approaching something, especially a systematic or established one such as the ‘scientific method’. Historically, the scientific method is said to have been given to us by the English materialist Francis Bacon. “Methods” are among some of the ‘conventions’ spoken of earlier in these essay titles particularly title #1. The “scope” is the “seeing” or “viewing”. A micro-scope means “to see small”; a tele-scope means “to see far”. The “scope” is what produces the theoria, the theory that determines how one is to see in a certain manner. The “scope” is what gets things going in an area of knowledge and determines the theories that arise from within it.

The answer to the question, for example, “why has algebraic calculation become the paradigm of knowledge for our times” (the “mathematical projection” that results in the “to what extent” type of questions that we ask) is not a proposition: it reveals a transformed basic position, a transformation in the “scope”, or a transformation of the initial existing position of human beings towards things, a change of questioning and evaluation, of seeing and deciding, a transformation of what we are as human beings and what we think we are as human beings in the midst of what is. This transformation is a true paradigm shift and it occurred during the transformation of the age known as the Renaissance to that known as the Age of Reason in the West. In the William Blake example used here, it occurs is the ‘cruel materialism’ of the English philosopher John Locke, the science of Isaac Newton, and the method of Francis Bacon.

We cannot use science to tell us what science itself is: we cannot conduct an experiment or use the other methodologies of the sciences to teach us what science itself is. The question concerning our basic relations to nature (including our own ‘human nature’, our own bodies), our knowledge of nature as such, our rule over nature is itself in question in the question of how we stand in relation to all the things that are. This questioning will lead to the ‘abyss’, and our response to our questioning can only come through discussions that will make us mindful of the implicit assumptions which we hold with regard to what we call knowledge.

In connection with the historical development of natural science, things become objects, material, and a point of mass in motion in space and time and the calculation of these various points. When what is is defined as object, as object it becomes the ground and basis of all things, their determinations as to what they are, and the kinds of questioning that determine those determinations. This grounding is the mathematical projection and we may call this grounding a “knowledge framework”.  This “knowledge framework” itself is grounded in the principle of reason: nothing is without a cause, or nothing is without reason (reasons).

The determination of things as objects is the “scope” of our projection of things. That which is animate is also here in this determination of object: nothing distinguishes humans from other animals or species (Darwin’s Origin of Species). Even where one permits the animate its own character (as is done in the human sciences), this character is conceived as an additional structure built upon the inanimate. This reign of the object as material thing, as the genuine substructure of all things, reaches into the area that we call the “spiritual”, into the sphere of the meaning and significance of language, of history, of the work of art, and all of the areas of knowledge of TOK. It is what we call our culture. Works of art, poems and tragedies are all perceived as “things”, and the manner of our questioning about them is done through “research”, the calculation that determines why the “things”/the works are as they are. The difficulty from such a position is that while we may learn about the thing that we call history, for instance, we cannot learn from the thing that we call history because we perceive ourselves to be in a superior position to it from the outset.

Werner Heisenberg

When the “scope” of what and how we are attempting to gain knowledge changes, then we have what we call a true “paradigm shift” in the study of what we have been historically observing. The German physicist Heisenberg once said: “What we observe is not nature in itself but nature exposed to our method of questioning.  Our scientific work in physics consists in asking questions about nature in the language that we possess and trying to get an answer from experiment by the means that are at our disposal.” When quantum physicists study laser light to try to understand its properties, it is not a thing of nature that they are studying. Laser light does not occur naturally. Why is the knowledge arrived at in the Natural Sciences considered to be “knowledge” in its most “robust” form and what is it knowledge of then? Technology is the “scope” of what we have come to call knowledge and it is technology which provides the “space” for the objects and methodologies of technology to come into being.

To characterize what modern technology is, we can say that it is the disclosive looking (the scope) that disposes of the things which it looks at. Technology is the framework that arranges things in a certain way, sees things in a certain way, and assigns things to a certain order: what we call the mathematical projection. The “looking” (the theory) is our way of knowing which corresponds to the self-disclosure of things as belonging to a certain order that is determined from within the framework itself. From this looking, human beings see in things a certain disposition; the things belong to a certain order that is seen as appropriate to the things i.e. our areas of knowledge.

The seeing of things within this frame provides the impetus to investigate the things in a certain manner.  That manner is the calculable. Things are revealed as the calculable. Modern technology is the disclosure of things as subject to calculation. Modern technology sets science going; it is not a subsequent application of science and mathematics.  “Technology” is the outlook on things that science needs to get started. Modern technology is the viewing/insight into the essence of things as coherently calculable. Science disposes of the things into a certain calculable order (the knowledge framework as based on the principle of reason). Science is the theory of the real, where the truth of the things that are views and reveals those things as disposables.

Newton

The “scope” or the idea that nature is a calculable framework of forces stands at the beginning of experiments, or prior to the experiments, and is not the result of experiments. Galileo’s rolling of balls down an inclined plane does not result in a view of nature as calculable forces; Galileo must first see, must first have the “theory” in view in advance of what he believes that things in general are like.

The grounding of this theory, this looking, the “scope” is beautifully encapsulated in the title of Newton’s great work Philosophae Naturalis Principia Mathematica, which we translate The Mathematical Principles of Natural Philosophy. “Natural Philosophy” is science of nature or what we call knowledge. Modern science must possess this disclosive looking, these mathematical principles or axioms, before it sets to work, before it conducts experiments. In the light of this mathematical view, science devises and conducts experiments in order to discover to what extent and how nature, so conceived, reports itself.  Experimentation itself cannot discover what nature is, what the essence of nature is, since a conception of the essence of nature is presupposed for all experimentation. Without the conception of nature in advance, the scientist would not know what sort of experiments to devise.

The rigor of mathematical physical science is exactitude. Science cannot proceed randomly. All events, if they are at all to enter into representation as events of nature, must be defined beforehand as spatio-temporal magnitudes of motion. Such defining is accomplished through measuring, with the help of number and calculation. Mathematical research into nature is not exact because it calculates with precision; it must calculate in this way because its adherence to its object-sphere (the objects which it investigates) has the character of exactitude.  In contrast, the Group 3 subjects, the Human Sciences, must be inexact in order to remain rigorous.  A living thing can be grasped as a mass in motion, but then it is no longer apprehended as living. The projecting and securing of the object of study in the human sciences is of another kind and is much more difficult to execute than is the achieving of rigor in the “exact sciences” of the Group 4 subjects.

Today’s word for “method” is algorithm. An algorithm is based on the principle of cause and effect and the principle of contradiction, both of which come together under the principle of reason. The grounds of any algorithm are the algebraic calculations projected onto a world conceived as object, including the human beings who occupy that world. A method may be said to be the application of the principle of reason (which is the “scope”, the “seeing” that is the understanding: see Title #2), which provides the form for the orderliness of thought or behavior or the systematic planning that precedes action. This is what is understood here as the logos. We speak of the ‘experimental method’. All of these may be broadly understood as ‘logistics’ for they centre on providing the efficiency and accuracy necessary for our technological way of being-in-the-world. When we think of our word “information”, we see that it is composed of in-form-ation: that which is responsible for the “form” (-ation from the Greek aitia) so that it may “inform”. Without the form, which is the logos, it cannot inform. The “form” is what we call the “mathematical” and this is what the Greeks understood as one aspect of logos as it is used in these writings.

5. In the pursuit of knowledge, is it possible or even desirable to set aside temporarily what we already know? Discuss with reference to the natural sciences and one other area of knowledge.

Should we decide or attempt to ‘set aside’ what we already know for any period of time would indicate that we desire that we are not ‘conscious’ for that period of time i.e. we are without any understanding of our world we live in and thus are ‘machine-like’, motion without consciousness. Such a position is ‘thoughtless’ and as should be clear from the earlier discussions on these titles, it is a position not possible for human beings. There is always an a priori understanding of the world in which we live and this a priori understanding will determine how we will view that world.

Newton

In earlier titles I spoke of the English poet William Blake’s notion of “Newton’s sleep” and indicated that it was the kind of thinking that was done in the rational (natural) sciences for it focuses on the material world and fails to take into consideration the ‘spiritual’ or ‘noetic’ realm of the world inhabited by human beings. Blake spoke of the ‘cruel philosophy’ of materialism that had spread from England throughout the world: “I turn my eyes to the Schools & Universities of Europe and there behold the Loom of Locke, whose woof rages dire, wash’d by the Water-wheels of Newton: black the cloth in heavy wreathes folds over every Nation.” (Jerusalem 15:14) In the painting of Newton by Blake, we can see that Newton writes upon a scroll which proceeds or ‘projects’ from the back of his head. He does not do his calculations upon a rock tablet or in a book (which come to establish the conventions spoken about in title #1), and such writing upon a scroll is indicative of “imaginative creation” which is from the realm of eikasia in Plato’s Divided Line from Bk VI of his Republic which was discussed under title #3. The “imaginative creations” of the artists and technicians create the objects that are paraded in front of the fire in Plato’s allegory of the Cave.

In Blake, “Newton’s sleep” is that ‘unconsciousness’ which arises from a materialistic mechanistic conception of the world; and in Blake’s mythology, this materialistic conception is comprised of the triune figures of Newton, Bacon, and the English philosopher John Locke. This trinity of figures of naturalistic rational science, or empirical science, are opposed to the creative figures of John Milton, Shakespeare and Chaucer in Blake’s mythological world. Both the scientific and poetic figures use the logos whether as number or word in order to construct their creations or projections. With Newton, we have the law of gravity for instance, while with Shakespeare we have King Lear.

The understanding, which makes a tabula rasa position impossible in the pursuit of knowledge, is the “projection of possibilities” onto the world in which we live. We call such projections “projects”, so we speak of the “mathematical project”. To pro-ject is “to throw forward”, into the future. The outcome is to be anticipated in the future. In the Blake painting, the “project” is the scroll which is thrown forward and upon which Newton is doing his calculations. Our desire to “overlook” or “skip over” what we already know comes from our urge towards “novelty”, the “new”, in our desire to create. This desire for the new proceeds from the possibilities that are already present in our initial projection. (See response to title #1) The initial projection or understanding ensures that the results from such ‘new’ creations will always be the Same.

Werner Heisenberg

In the natural sciences, the theory of relativity of Einstein is not a new “projection” of physics but, rather, stands upon the shoulders of Newton and what are called “classical physics”. The other great discovery of modern physics, the indeterminacy principle of Heisenberg, also stands upon Newton’s shoulders but it is a much more radical rejection of Newton’s findings and calculations. With our new technologies, we are discovering that Heisenberg’s calculations have a greater precision and exactness than the findings of Einstein.

The natural sciences deal with the world as a “surface phenomenon”, their physical presence. As a surface phenomenon, the natural sciences deal with the world in which we live as a ‘power phenomenon’ and that world’s meaning lies in the relations of these manifestations of force. The workings of the artist also deal with the world as a ‘surface phenomenon’ but in doing so attempt to get at the ‘depth’ of the physical object that they are trying to portray. Both the natural scientist and the creative artist use the imagination to make representations of the phenomenon of which they wish to speak in order to convey the ‘essence’ or truth of the phenomenon. Such use of the imagination will be determined by thinking in which the artist or technician is engaged in their manner of seeing and understanding their worlds.

6. Is empathy an attribute that is equally important for a historian and a human scientist? Discuss with reference to history and the human sciences.

Simone Weil

The French philosopher Simone Weil once wrote: “Faith is the experience that the intelligence is illuminated by Love.” I have spent a good part of my life trying to understand what she meant by that. Empathy is part of love; we cannot love unless we have empathy for that which we encounter in our everyday being-in-the-world. Empathy is one of the bridges that we have to overcome our experience of the world as separate from ourselves. Empathy is a self-conscious awareness of the feelings, experiences, and emotions of the other human beings around us.

In relation to the other titles discussed here, “empathy” is a part of a state of consciousness that is of a higher order than rationality. It requires a state of some self-consciousness or self-knowledge on the part of the individual involved. Empathy is distinguished from sympathy in that one can be sympathetic towards another’s condition without feeling any empathy for that individual at all. Empathy is an emotion which helps overpower the subject/object distinction that dominates modern technical thinking. Sympathy is an emotion of superiority while empathy is not and we are quite capable of sympathy even though we may be in a position of power.

The difficulty for the historian and the human scientist is that they must cease to be “scientists” if they wish to have “empathy” for that which they are studying or researching because that which they are studying and researching must first be turned into an object; and in both of these specific cases, the objects that are being studied are other human beings. The objects of their study need to be enframed within a statistical matrix so that an answer to the “to what extent” type of questions can be put forward. The “objects” of study must be “dead” in a very real sense.

The researchers, whether in history or the social sciences, must observe the fact/value distinction: the fact-value distinction suggests that facts are objective and values are subjective, and that values cannot be derived solely from facts. The great danger for historians when they do not observe the fact/value distinction is that they can become mere propagandists for their vision is dominated by the empathy they feel towards “one’s own”. As the dictator Josef Stalin said: “Only the victors get to write the history.” Social scientists merely become ‘morally obtuse’ in their political recommendations due to their reluctance to recognize something as ‘good’ or ‘evil’, or good or bad. The historians and social scientists must attempt to rise above that subjectivity that stresses that “one’s own” is the “otherness” that is the world in which we live.

What we believe “science” or “knowledge” to be is founded upon or grounded in the understanding that is the subject/object distinction: that we know more about something by turning the thing into an object and making it “useful” and “disposable” to us and for us in some way. In history and the social sciences, this requires the use of the fact/value distinction since these sciences have always tried to mirror the natural sciences in their methodology. (See title #4)

That which distinguishes philosophers and saints (and makes them so rare and few among us) is their ability to rise beyond our very “common sense” love of our own to the love of the Good. This conflict is very much alive today in all of our encounters within our being-in-the-world and our being-with-others. Our being-in-the-world involves our constant struggle to ‘know ourselves’ and to know what is ‘good’ for ourselves. Our being-with-others involves politics, and politics involves power.

Pope Francis

In the USA, Pope Francis made a pointed critique of J. D. Vance’s erroneous exposition on medieval theology regarding the ordo amoris, the ‘ladder of love’ or the ‘steps of love’ which were originally outlined by Diotima the prophetess in Plato’s Symposium. Vance stated: “There is a Christian concept that you love your family; and then you love your neighbor, and then you love your community, and then you love your fellow citizens in your own country. And then after that, you can focus and prioritize the rest of the world.” In the X post, he called his view “basic common sense.” Of course, Vance has left out ‘the love of self’ which is prior to all of the steps that he has outlined. The love of self that lacks ‘self-knowledge’ colours all of the subsequent viewings of family, community, country and world.

The ordo amoris initially outlined by Diotima in Symposium is about the order of love and the justice that is due all human beings which involves caring and concern for all in need. This care and concern arises from an ’empathy’ for all human beings. It involves the distinction between love as eros and love as agape. To quote from the Pope’s letter, “The true ordo amoris that must be promoted is that which we discover by meditating constantly on the parable of the ‘Good Samaritan’ (cf. Lk 10:25-37), that is, by meditating on the love that builds a fraternity open to all, without exception. But worrying about personal, community or national identity, apart from these considerations, easily introduces an ideological criterion that distorts social life and imposes the will of the strongest as the criterion of truth.” The Pope added, “What is built on the basis of force, and not on the truth about the equal dignity of every human being, begins badly and will end badly.” The question which needs to be explored is what is it about human beings that makes justice (“equal dignity”) their due and what are the consequences for human beings when this equal justice is not upheld? How does this relate to love of one’s own and love of the Good?

Plato in his Laws indicates the problem of an overreaching “love of one’s own”: “For the lover is blind to the faults of the beloved, so he is a poor judge of what’s just and good, because he believes he should always honour his own, above the truth. But a man who is to be a great man must cherish, not himself or what belongs to himself, but what’s just, either in his own actions or indeed in the actions of others. From this same fault is born the universal conviction that our own ignorance is wisdom, and so we who, in a sense, know nothing, imagine that we know everything. And since we don’t rely on others to do whatever we ourselves don’t know, we inevitably make mistakes in doing this ourselves. That’s why everyone must flee from this intense self-love, and always keep with someone better than himself, without feeling any shame in doing so.” The Laws (731D-732B)

Human beings are by nature empathetic. When human beings lose their ’empathy’, they become inhumane, bestial. Justice is the recognition of “otherness”, and this sense of otherness begins with empathy. The tyrant is the most unjust of human beings because his/her sense of “otherness” has all but disappeared. Macbeth is the best example of this that we have in our literature, and his “Tomorrow and tomorrow…” speech (Act V sc. v) indicates the nihilism that befalls all those who succumb to the tyranny of their own injustice or lack of a sense of otherness. Macbeth’s speech is by someone who is incapable of learning from history, and so for him, life has come to have no ‘significance’. Life is “a tale/ Told by an idiot, full of sound and fury / Signifying nothing.” This view is that which is held by a person who has violated life’s laws; nevertheless, it is a view held by many today.

Elon Musk

Today, Elon Musk’s actions in the USA indicate a similar lack of recognition of otherness and a similar lack of recognition of the thinking that is necessary for justice, what the Greeks understood as phronesis or “good judgement”. “Empathy” is lacking in his actions and his thinking. As the philosopher Nietzsche noted: “Power makes stupid”; and stupidity leads to arrogance and the other hubristic failings that prevent human beings from achieving arete or “human excellence”. Musk, who many consider a ‘great thinker’, a ‘genius’, is incapable of the thinking that is exercised by the philosophers and the great artists and his recent actions have caused the whole of his thinking to become questionable.

Plato’s discussion of the Divided Line which occurs in Bk VI of his Republic distinguishes between the thinking that is done by philosophers and the thinking that is done by technicians and artists . 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. The love of the whole and the attempt to gain knowledge of the whole is the call to ‘perfection’ 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. 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’. While the top of the mountain may be obscured in clouds, we are still able to distinguish a mountain from a molehill and so we are able to reach beyond that thinking or consciousness that is the fact-value distinction.

The November 2024 TOK Essay Prescribed Titles

A few notes of warning and guidance before we begin:

The TOK essay provides you with an opportunity to become engaged in thinking and reflection. What are outlined below are strategies and suggestions, questions and possible responses only, for deconstructing the TOK titles as they have been given. They should be used alongside the discussions that you will carry out with your peers and teachers during the process of constructing your essay.

The notes here are intended to guide you towards a thoughtful, personal response to the prescribed titles posed.  They are not to be considered as the answer and they should only be used to help provide you with another perspective to the ones given to you in the titles and from your own TOK class discussions. You need to remember that most of your examiners have been educated in the logical positivist schools of Anglo-America and this education pre-determines their predilection to view the world as they do and to understand the concepts as they do. The TOK course itself is a product of this logical positivism.

There is no substitute for your own personal thought and reflection, and these notes are not intended as a cut and paste substitute to the hard work that thinking requires. Some of the comments on one title may be useful to you in the approach you are taking in the title that you have personally chosen, so it may be useful to read all the comments and give them some reflection.

My experience has been that candidates whose examples match those to be found on TOK “help” sites (and this is another of those TOK help sites) struggle to demonstrate a mastery of the knowledge claims and knowledge questions contained in the examples.  The best essays carry a trace of a struggle that is the journey on the path to thinking. Many examiners state that in the very best essays they read, they can visualize the individual who has thought through them sitting opposite to them. To reflect this struggle in your essay is your goal.

Remember to include sufficient TOK content in your essay. When you have completed your essay, ask yourself if it could have been written by someone who had not participated in the TOK course (such as Chat GPI, for instance). If the answer to that question is “yes”, then you do not have sufficient TOK content in your essay. Personal and shared knowledge, the knowledge framework, the ways of knowing and the areas of knowledge are terms that will be useful to you in your discussions.

Here is a link to a PowerPoint that contains recommendations and a flow chart outlining the steps to writing a TOK essay. Some of you may need to get your network administrator to make a few tweaks in order for you to access it. Comments, observations and discussions are most welcome. Contact me at butler.rick1952@gmail.com or directly through this website.

https://drive.google.com/open?id=0B-8nWwYRUyV6bDdXZ01POFFqVlU

sine qua non: the opinions expressed here are entirely my own and do not represent any organization or collective of any kind. Now to business…

The Titles

1. Does our responsibility to acquire knowledge vary according to the area of knowledge? Discuss with reference to history and one other area of knowledge.

Title #1 has four key concepts involved in it: 1. responsibility; 2. to acquire, acquiring; to take possession of; 3. knowledge; 4. vary. You are asked to relate these four key concepts to history and one other area of knowledge.

Aristotle

When we say that we have a responsibility to acquire knowledge to ensure that we construct an accurate record of the past we ask ourselves “why?”. What is the end of an “accurate” account of the past whether it be our own or that of others? For what end is it our responsibility to know our History and learn from the past? Why do we not allow ourselves to remain ‘intentionally ignorant’ of the past if its learning is not convenient for us in the present?

“Responsibility” is inherently an ethical concept for it involves a being-with-others and a sense of otherness itself, something beyond ourselves. It implies a directive for ‘right’ action, an “I should do this” as the ‘ability’ to ‘respond’. The ability to respond was called dynamis by the ancient Greek philosopher Aristotle. The ability to respond with moderation and wise judgement is what was known as ‘virtue’ to the ancients, what we understand as ‘human excellence’ today. The ability to respond involves the deeper question of justice since the sense of responsibility derives from the sense of a ‘debt owed’ to someone or something. To whom? to what? for what end?

At the moment, many of you are probably experiencing the “responsibility” to acquire knowledge from the “debt” you feel you owe to your parents for making your education possible. It is ‘right’ that you should do your best in your studies and take actions that will contribute toward that end. You have a ‘duty’ because you are ‘indebted’ to your parents. Or you may feel no sense of ‘indebtedness’ to anyone or anything. Or you may feel an indebtedness to yourself in that you do not want to be perceived as a moron and wish to achieve some social prestige through attempting to be the best that you can be in your studies. This desire is from our relations in our being-with-others. Stupidity is a moral phenomenon, not an intellectual one, and this is the essence of this question.

If stupidity is a moral phenomenon, then human beings have an obligation to acquire and take possession of knowledge. An obligation is a course of action that someone is required to take, whether that action be due to the legal or moral consequences or constraints inherent in the outcomes of the action or the not taking action. An obligation is an act of making oneself responsible for doing something. Human beings are under an obligation to think; we are not fully human if we do not do so. Obligations are constraints; they limit freedom. The obligation to think as the essence of human being is contrary to the notion that the essence of human being is freedom. Truth itself and its revealing is a constraint upon our freedom.

Those who are limited and intolerant in their thinking view knowledge of their History as limited by “subjectivity” and that it is only composed of the opinions that have become the “collective memory” of the society of which, by chance, they happen to be a member. Because of these subjective elements, they find that it is not essential to acquire knowledge of their past in order to build what they hope will be a “successful” future; self-knowledge is not essential to their happiness nor to their success. This is the ‘ignorance is bliss’ position where they believe their own empowerment will be the foundation of their future happiness; and their own goals and principles are decidedly short-term and entirely mutable depending upon the circumstances in which they find themselves. The lack of self-knowledge and the lack of a moral compass are one and the same thing.

As there are various types of human beings and various ways of thinking, there are also various areas of knowledge. In the IB, they have been identified as six areas of knowledge with further sub-divisions within each i.e. the Natural Sciences are sub-divided into Physics, Chemistry, and Biology. The ancients called these areas of knowledge the Seven Pillars of Wisdom for they made up a ‘knowledge of the whole’; wisdom is knowledge of the whole. The ancients arranged these pillars in a hierarchy; and while we do not speak of a hierarchy, it is easy to see that we hold knowledge in the sciences and mathematics and their applications as the most important areas of study in what we call the acquisition of knowledge today. Any analysis of IB enrollment statistics will demonstrate this.

The sense of “responsibility” for acquiring knowledge in the sciences may be based on the belief that such knowledge will contribute to the continual development of human beings and continue to lead them toward “human excellence” or what the ancients once called ‘virtue’. It is an interesting irony in the history of the West that what was once considered the ‘masculinity’ of a man became the ‘chastity’ of a woman. This belief developed in that period of History known as the Renaissance. It is one of the foundations of what we call “humanism”, and from it flowered that way of being-in-the-world that we call “technology”. The relief of human beings’ estate through technology was a key to an understanding of justice. We felt, and still feel, an obligation and a responsibility to be just.

Our being-with-others is what is studied in the area of knowledge we call the Human Sciences. The Human Sciences, however, are unable to give us an account of what is the best manner or way of our being-with-others. This is due to the fact/value distinction that dominates their theoretical viewing of the world. They are incapable of answering this question, the ancient question of “what is the good life and how do you lead it?” since our sense of responsibility or duty is a ‘value’ that we have chosen or created and it has no ‘reality’ or validity in the world of ‘facts’. One manner of living or choice is equal to another; we call them ‘lifestyles’. The concept of ‘lifestyles’ is from the German philosopher Nietzsche. A pre-requisite for knowledge and success in the Human Sciences is moral obtuseness.

History is an account or narrative, the collective memory, of the significant actions that other human beings have taken and that have occurred over time in our being-with-others. It is more properly called ‘historiography’ (written history) as opposed to an understanding of ‘time as history’. The outcomes of those past actions have contributed to how we have come to understand and interpret, to have acquired and taken possession of, the meaning of those past actions and how they have impacted our understanding of ourselves. For example, who cannot be grateful for the stupidity of the Nazis which led them to understand Einstein’s and Heisenberg’s physics as ‘Jewish science’ and prevented them from funding research into the building of atomic weapons during WWII? Such stupidity was providential in that it prevented the Nazis from taking the ‘responsibility to acquire knowledge’ and it also prevented them from acquiring world domination.

Both History and the Human Sciences today are determined in their seeing by the ‘fact/value’ distinction where statements of fact regarding human actions are distinct from the ‘values’ that are the result of those actions. “Values” are what are subjective. In this perception, they are driven by what has been chosen to be the most highly ‘valued’ form of ‘knowledge’ which is to be found in the objective stance of the Natural Sciences. My statement above regarding the Nazis is a ‘value judgement’, a subjective statement. That I approve that it was good that the Nazis did not achieve world domination is a value judgement.

With the introduction of the word ‘good’ a whole host of other questions arise. For some, the fact that the Nazis didn’t achieve world domination was not a good end. A Europe in ruins was a better end than a Europe re-built from the ashes of those ruins. Similar thoughts are prevalent among many in today’s world. Social scientists in the USA prevent themselves from commenting upon the character of a man like Donald Trump since such comments would not be ‘professional’ but only ‘value judgements’. To have such a mentally disturbed man be their leader and their inability to warn against such outcomes reflects the madness that is deep within American society and the Social Sciences themselves.

The responsibility of acquiring knowledge is dependent upon what good end will result from our acquisition of that knowledge i.e. how will that knowledge contribute to our eudaemonia or happiness?. The type of end depends on the type of knowledge that is to be gained and applied. If I wish to make use of a banking app to do my banking then I have a ‘responsibility’ to learn how to make use of that app through becoming familiar with the knowledge of the procedures involved. The procedures and the theory are already embedded in the app i.e. the end is already embedded in the app. There is no choice involved other than the wish to make use of the app. There are many who will remain intentionally ignorant if the acquisition of whatever form knowledge may appear in does not contribute to their empowerment in some way for we equate empowerment with ‘happiness’.

In other writings on this blog, I have suggested that the lack of a moral compass so prevalent in today’s world, where there is no responsibility to acquire any knowledge other than that which allows one to seize and maintain power, is a primary result of the fact/value distinction, that beholding which is prevalent in the Human Sciences and History. Since domination and control is at the very heart of the stance of the physical sciences and these areas of knowledge wish to mirror those sciences, this should not be surprising. When good becomes a ‘value’ and ‘beauty is in the eye of the beholder’, then the outcome is not one of ‘universal tolerance’ but one of command and control, authoritarianism and fascism. Whether one is on the left or the right in their political thinking is irrelevant to this ultimate outcome.

Margaret Atwood

The Canadian writer Margaret Atwood once said that ‘all writing is political’. The desire to write down something is a desire that it be communicated to others at some point in time. Even a personal diary is a communication to a future ‘different person’ than the one producing the work of the diary in the present. It is an aid to memory. History is an aid to Memory, and contributes to our self-knowledge. The keeping of a diary may be said to be a first step on the journey to self-knowledge. This desire for self-knowledge is a recognition of the responsibility or ‘debt owed’ to oneself and others with regard to the compulsion we feel of the need to be fully human. This compulsion is our desire to seek ‘completeness’ and ‘perfection’ as a human being, which is not possible as we are the ‘perfect imperfection’ in our natures.

In other writings on this blog I have attempted to show that the key difficulty in receiving the beauty of the world today is that such a teaching and learning is rooted in the act of looking at the world as it is while the dominant sciences are rooted in the desire to change it. Our sense of ‘responsibility’ hinges on this dilemma. We cannot know or love an object or resource. In our research to learn the historical sources of the objects of the Arts around us, this study is merely for “aesthetic” purposes and enjoyment, not the fulfilment of a responsibility of having these works teach us about the beauty of the world or any notion of justice. We can learn about the past in such study; we cannot learn from the past. In other writings I have called this the two-faced nature of Eros.

2. In the production of knowledge, is ingenuity always needed but never enough? Discuss with reference to mathematics and one other area of knowledge.

The ‘production of knowledge’ are the ‘works’ that are the results of our ‘work’, the “produce” of our human making which mirrors the “produce” of Nature’s making. The production of knowledge is the products of our minds and hands. “Ingenuity” is a synonym for ‘novelty’, the ‘new’, the ‘creative’ which is an element brought to bear by the clever in our societies. To say that we are overwhelmed by the ‘novelty’ of technology today would be something of an understatement. We just begin to master all of the possibilities of our iPhones when another model is introduced.

But the corollary of all this novelty and ingenuity is an ever-increasing sense of mass meaninglessness, for we fail to find any real purpose for our novelty except that novelty as an end in itself.

The work that precedes the bringing forth of the ‘work’ is what is called ‘research’ in common parlance. This ‘research’ is conducted in multiversities and corporations throughout the globe. The “ingenuity” or “novelty” of the research is driven by the ‘vested interest’ that the individual, along with the institution, has in the outcomes of the research. In the past, research in History for example was a waiting upon the past so that we might find in it truths which might help us to think and live in the present. With the dominion of the fact/value distinction, such an end becomes lost; and with it, what we call our ‘moral compass’ becomes lost. Why?

All societies are dominated by a particular account of knowledge and this account lies in the relation between a particular aspiration of thought (the mind) and the effective conditions for its realization (the work of the hands): the work and its work. The work is knowledge, ‘the word made flesh’ so to speak. Our tools are an extension of our hands. We find the archetype and paradigm of thought and what we call thinking and, by extension, what we call knowledge in modern physics. Modern physics is the mathematical project. To pro-ject is ‘to throw forward’. The aspiration of our ‘throwing forward’ is ’empowerment’. In this throwing forward, some violence is done.

Our account is that we reach knowledge when we represent things to ourselves as objects, summonsing them before us so that they will give us their reasons for being as they are. To do so requires well defined procedures. This is what we call research. What we think knowledge is is this research for it is an essential effective condition for the realization or pro-duction of any knowledge. The work is the bringing forth or production of such knowledge bringing it to its completion. The bringing forth to completion was what was understood as ‘justice’ by the ancients. That which is brought forward is somehow ‘fitting’ for its purpose, its end. Justice is ‘fittedness’. In the technological society, the ingenuity behind the bringing forth has come to be an end in itself.

There are boundless examples of the varieties of ‘ingenuity’ that go into the research conducted in the sciences and the humanities. We live and breathe this novelty in our day-to-day lives. The calculus involved in mathematics results in the many apps brought forth to assist us in our use of our technological tools: the tools are the predicates of the technology and come to be through that technology; they are not technology itself in its essence.

The ‘knowing and making’ that is the word technology shows itself in the humanities in a dizzying number of theses with ingenious perspectives on the meaning of Beowulf (although any number of other examples could just as easily be found). The problem in the humanities is that when the work being examined is laid before us as object and our research is based on a review and critique of its historical sources, that work becomes dead for us. We can learn about the past; we cannot learn from the past: we can learn about the play King Lear, but we cannot learn from the play King Lear. The commandeering stance with regard to the past, which is necessary to research, kills the past as teacher and no amount of ingenuity will overcome this. If beauty is in the eye of the beholder, that which is beautiful is represented to a commandeering subject from a position of its own command and, thus, we cannot learn anything from the beautiful or that which makes it beautiful. The world as it is presented to us in the sciences has no place for the word ‘love’.

Most often, ‘ingenuity’ reveals itself in the paradigm shifts that occur in the histories of our areas of knowledge. A paradigm shift is not only a new way of thinking but a new way of viewing the world in which we live. The most dominant manner in which our world is viewed today is the ‘mathematical projection’. The ‘ingenuity’ within this world-projection is what we call by the cliche ‘thinking outside of the box.’ The history behind this viewing of the world is ‘ingenuity’ itself.

The mathematical projection and the ingenuity involved in it does not occur out of nowhere or out of nothing. Newton’s “First Law of Motion”, for instance, is a statement about the mathematical projection the visions of which first began to emerge long before his Principia Mathematica. Newton’s First Law states that “an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force”. It may be seen as a statement about inertia, that objects will remain in their state of motion unless a force acts to change that motion.

But, of course, there is no such object or body and no experiment could help us to bring to view such a body. This is the ‘ingenuity’ in its view. The law speaks of a thing that does not exist and demands a fundamental representation of things that contradicts our ordinary common sense and our ordinary everyday experience. The mathematical projection of a thing is based on the determination of things that is not derived from our experience of things. This fundamental conception of things is not arbitrary nor self-evident. It required a “paradigm shift” in the manner of our approach to things along with a new manner of thinking. This is true ‘ingenuity’.

Galileo, for instance, provides the decisive insight that all bodies fall equally fast, and that differences in the time of the fall derive from the resistance of the air and not from the inner natures of the bodies themselves or because of their corresponding relation to their particular place (contrary to how the world was understood by Aristotle and the Medievals). The particular, specific qualities of the thing, so crucial to Aristotle, become a matter of indifference to Galileo.

Galileo’s insistence on the truth of his propositions saw him excommunicated from the Church and exiled from Pisa. Both Galileo and his opponents saw the same “fact”, the falling body, but they interpreted the same fact differently and made the same event visible to themselves in different ways. What the “falling body” was as a body, and what its motion was, were understood and interpreted differently. None denied the existence of the “falling body” as that which was under discussion, nor propounded some kind of “alternative fact” here. Galileo’s ingenuity consisted in his ability to view things in a very different way.

In Galileo, the mathematical becomes a “projection” of the determination of the thingness of things which skips over the things in their particularity. The project or projection first opens a domain, an area of knowledge, where the things i.e. facts, show themselves. What and how things or facts are to be understood and evaluated beforehand is what the Greeks termed axiomata i.e. the anticipating determinations and assertions in the project, what we would call the “self-evident”, the axioms. This self-evident, axiomatic viewing requires that things themselves lose any virtues that they may have in their particularity.

The mathematical projection provides the framework, the picture, that is the lens through which the world is viewed. Ingenuity is only acknowledged within this framework for knowledge production since outcomes must be reported in the language of mathematics. Ingenuity or novelty whether in an artistic process or the scientific method involves the discovering of innovative ways of devising experiments or utilizing clever analogies to explain complex concepts within these AOKs. Those who succeed in doing so are given Nobel Prizes as the result of their efforts.

3. How might it benefit an area of knowledge to sever ties with its past? Discuss with reference to two areas of knowledge.

Guernica

Does Title #3 present a silly suggestion that it is possible for an area of knowledge “to sever its ties with its past” and that this severing may somehow be beneficial to it? is it possible for knowledge to occur in a vacuum? The fact that it is an “area of knowledge” implies that it has a past whose ‘picture’ has already been established for it. What we come to call ‘new knowledge’ is the change in perspective on the viewing of that which is permanently there. (See the Galileo example in Title #2.) Is this change of viewing what is meant by ‘severing’ here? Are we talking of paradigm shifts here? It should not be forgotten that everything will appear in a new light when that light is dimmed.

Much of what is said regarding Mathematics and the Natural Sciences in Title #2 would then be applicable here. Is Picasso’s cubism a severing of his ties with Art’s past? Does it not bring along with it the traditional viewing of three dimensional space and provide a new fourth dimension? Picasso’s theme of war in his Guernica has not changed. His viewing of a specific example of what war is presents a unique and horrible view of this ever-permanent subject. As human beings we live within a world which in itself does not change; our perspectives on it change, but the world itself does not. That we can now destroy other human beings with nuclear weapons does not change the permanent theme of our destruction of other beings. The lack of clarity in this question would cause me to avoid it or to question the lack of clarity itself.

The historian Thucydides believed that there was something essential in the nature of human beings, an essence, that was not subject to change. He also believed that the same was the case with regard to war and its causes. Modern historians do not believe there are such things as “essences” and so view the world in a very different way. Is such a different viewing a ‘severing’ of the ties with Thucydides? Or does it ultimately bring the modern historian finally into the position where Thucydides began his work? While we may desire to sever the ties with the past in our pro-duction of knowledge (is this due to our desire for novelty and ingenuity?) such a severing may not be possible if one is to continue pursuing the truth of things. Things will always appear different when they are viewed in a ‘new light’ even though that light may be dimmer.

Is modern atomic physics a ‘severing’ of its ties to the Newtonian physics of the past or the superstructure built upon the findings of those physics? Einstein is considered to be a completion of Newtonian physics while quantum physics is considered to be a more radical ‘severing’ of the viewing that had occurred in what is called classical physics. In the case of modern physics, this severing is due to its unique findings regarding the concepts of time and space and the object that is viewed with regard to the production of knowledge.

The rigor of mathematical physical science is exactitude. This has always been the case with science. Science cannot proceed randomly; it cannot sever its ties in its methodology, a methodology that has its roots in the past. All events, if they are at all to enter into representations as events of nature, must be defined beforehand as spatio-temporal magnitudes of motion. Motion is time. Such defining is accomplished through measuring, with the help of number and calculation. Mathematical research into nature is not exact because it calculates with precision; it must calculate in this way because of the adherence to its object-sphere (the objects which it investigates) has the character of exactitude and that exactitude is the mathematics itself.  

In contrast the Group 3 subjects, the Human Sciences, must be inexact in order to remain rigorous.  A living thing can be grasped as a mass in motion, but then it is no longer apprehended as living. The projecting and securing of the object of study in the human sciences is of another kind and is much more difficult to execute than is the achieving of rigor in the “exact sciences” of the Group 4 subjects. This is why statistics are used as the form of the disclosure of the conclusions that have been reached in the Human Sciences. In some investigations, the matrix mathematics of quantum physics is sometimes used to try to gain a precision into the analysis of the phenomenon under study with, usually, disastrous results. Such was the case in the economic recession of 2008. This is due to the fact that the domains of physics and of the human sciences are radically different.

The applications of the discoveries of modern physics have realized the new “ages” in which we live, the Atomic Age and the Information Age. As with all new “ages” in human history, something is gained but something is also lost. The highest point to which we look up to in our communities is no longer the church steeple or the statue of the Buddha; it is the ubiquitous communications towers sending the signals of our information to each other across the globe. When Galileo skipped over the viewing of the particular thing in its uniqueness in his effort to view the world mathematically, what was skipped over was a looking at the world as it is. This gave to human beings the difficulty, the deprival, of receiving the beauty of the world as it is. The removal of the love of and for the beauty of the world as it is was replaced by the desire to change it through domination and control.

As with all the things which human beings make, their viewing and their making is a double-edged sword: we are easily lulled into an appreciation of the benefits brought about by their realization at the cost of an inability to view how in fact we may be deprived by their realization. What deprivals are we witnessing in the discoveries of our new communications apparatus? What are the benefits resulting from mass meaninglessness and our understanding of knowledge as “information”? We can all see the benefits of artificial intelligence, but what deprivals are we experiencing with the arrival of this new technology?

4. To what extent do you agree that there is no significant difference between hypothesis and speculation? Discuss with reference to the human sciences and one other area of knowledge.

The English word hypothesis comes from the ancient Greek word ὑπόθεσις hypothesis whose literal or etymological sense is a “putting or placing under” and hence a providing of a foundation or basis for an assertion, claim or an action. Such a provision of foundations will be based on the historical knowledge that one has received and possesses with regard to the domain or area of knowledge that is under investigation.

“Speculation”, on the other hand, is the forming of a theory or conjecture without firm evidence. An hypothesis is ‘justified opinion’, while speculation is ‘unjustified opinion’. The word ‘speculation’ is usually associated with economics and is based on those judgements made by individuals which involve a substantial amount of risk since evidence is not available as to the ultimate outcome of the action that will be taken by an individual in their desire for gain in wealth and, subsequently, power. An hypothesis, on the other hand, depending on the domain or area of knowledge in which it is asserted, usually has historical findings to ground it. It is grounded in the principle of reason and looks for exactitude and certitude in its outcomes. The element of chance in speculation suggests that the opinion, claim or assertion is not fully grounded in the principle of reason. A current example would be investors placing their money in the DJT stock on Wall Street. There is an irrationality about it.

“Speculation” is sometimes based on ‘a gut feeling’. It is sometimes preceded by a “they said….” without any mention of who the ‘they’ are who have done the ‘saying’ and whether these ‘they’ are reliable or not in their speaking. There is a lack of surety, certainty in the grounds of the assertion because the assertion is not based on the principle of reason as no evidence or sufficient reasons are provided to justify the claim.

While both speculation and hypothesis are based on ‘theories’, an hypothesis is formed from a “theory” and a theory is a way of viewing the world from which develops an understanding of that world. The principle of reason provides the grounds or foundations for the ‘saying’. Theories or views (understandings) may produce true or false opinions. Our views of the world are based upon opinions, opinions that may or may not be justified. We cannot, for example, believe the assertion that Californian wildfires are caused by Jewish space lasers because sufficient reasons cannot be provided for the making of such an assertion. Such an assertion is mere speculation, and it is ‘risky’ due to its political implications in our being-with-others. An hypothesis requires evidence from experiment or experience that will provide sufficient reasons for the assertion contained in the hypothesis.

In both experience and experiment, a sufficient reason is sometimes described as the correspondence of every single thing that is needed for the occurrence of an effect (i.e. that the so-called necessary conditions are present for such an effect to occur). In the wildfires/Jewish space lasers example, there is no sufficient correspondence present between the effect and its possible cause. What is lacking is the ‘truth’ of the event: there are insufficient reasons for the correspondence theory of truth to apply. With speculation, nothing is ‘brought to light’ because no light is present.

We could, perhaps, also apply such a view to the indeterminacy principle of Heisenberg as long as randomness is incorporated in the preconditions that are mathematically included in the calculus. Such events occur at the sub-atomic level but they do not occur in our encounters with the objects that are present in our real experience of things. In our experience, the principles of Newton’s classical physics still apply. These conditions and their sufficient reasons do not apply at the sub-atomic level.

When we are asked ‘to what extent’, we are being asked for a calculation which can be expressed statistically or in language, a ‘this much…’. It implies a possibility of knowledge of the whole. Both hypothesis and speculation demonstrate similar content in some respects but they are ‘different’. If we claim that there is ‘no significant difference’, then we are saying that they are the Same. While some may presume a semantical equivalence between the two terms (which is the foundation of the question), it would appear that the submission of a hypothesis involves less risk in the truth or falsity of its claim than mere speculation which may be based on a ‘wishful thinking’ as to its outcome. Hypothesis relies on the surety of past knowledge and its discoveries while speculation rests in the hoped for gains that will result if such a speculation proves to be true.

5. In the production of knowledge, are we too quick to dismiss anomalies? Discuss with reference to two areas of knowledge.

In recent years, the discoveries of the James Webb Space Telescope (JWST) have produced a great number of anomalies for astrophysicists to attempt to resolve and which cannot be ignored especially with regard to the Big Bang Theory of the universe. The dates of the origin of the universe and the formation of galaxies are now being questioned. Often, rather than investigating anomalies further and considering an overhaul of existing knowledge, anomalies are dismissed as ‘exceptions’ to the rule rather than a justification to question the rule itself. Such discussions are now occurring among the scientists in the world of astrophysics. Such anomalies and discussions will provide theoretical work for scientists for years to come and may require or provide a paradigm shift in the area of knowledge called astrophysics.

Anomalies are often the prompt for a paradigm shift in the sciences causing us to challenge existing beliefs and ideas. In Physics, perhaps the greatest anomaly lies in the Heisenberg indeterminacy principle. In the experiments conducted in the early 20th century, results often occurred which could not be corresponded to the physics of Einstein. With Heisenberg’s indeterminacy principle, the mathematical account for those outliers could be accounted for and shown mathematically.

In everyday life, calculating the speed and position of a moving object is relatively straightforward. We can measure a car traveling at 60 miles per hour or a tortoise crawling at 0.5 miles per hour and simultaneously pinpoint where the car and the tortoise are located. But in the quantum world of particles, making these calculations is not possible due to a fundamental mathematical relationship called the uncertainty principle.

Werner Heisenberg

Formulated by the German physicist and Nobel laureate Werner Heisenberg in 1927, the uncertainty principle states that we cannot know both the position and speed of a particle, such as a photon or electron, with perfect accuracy; the more we nail down the particle’s position, the less we know about its speed and vice versa. Because sub-atomic particles behave like waves in quantum viewing, the measurements we make appear to be uncertain or inaccurate, but this is the case with wave-like properties. In the world of our experience, a chair behaves like a chair. There is a gap present between the behaviour and the nature of sub-atomic particles and the objects of our common everyday experience.

Donald J. Trump

In the Human Sciences, Donald Trump is seen by many as an ‘anomaly’ outside of the normal political activity of the community that is the USA. Is this really the case? Is he really an ‘anomaly’? If so, how is it possible that he is the Republican nomination for President? That Donald Trump is the fertilizer that brought about the flowering of the growth that was the corruption already present within the institutions of the American system of government is more of an indication of the failure of the seeing, the consciousness and conscience, present in the ‘wishful thinking’ of those who observe American politics whether they be media, academics or political pundits. Is it possible for a true outlier to achieve political power or must there be common elements present in both the aspirer for power and in those who will hand that power over to him? Was Adolf Hitler an ‘outlier’ in the German politics of the 1920s and 1930s?

Because of the manner of our viewing of the world, we usually cannot see what we are not looking for, so anomalies are often missed and when they are sighted they are usually met with the response “That’s odd”. If they are seen, they are usually ignored because people and their institutions and organizations are predisposed to confirmation bias, focusing on what aligns with their mental models rather than what violates them. In the Human Sciences, for instance, the word “anomaly” is most often used to dismiss a data point as unrepresentative and irrelevant. Even if we do not ignore anomalies, we may not try to interpret or explore them. Does an anomaly such as Donald Trump get over 70 million votes in a democracy? Why, for example, did it take so long for the symptoms of PTSD (Post-traumatic Stress Disorder) to be recognized and to be systematically dealt with?

6. In the pursuit of knowledge, what is gained by the artist adopting the lens of the scientist and the scientist adopting the lens of the artist? Discuss with reference to the arts and the natural sciences.

Van Gogh’s Sunflowers: Pb(NO3)2(aq) + K2CrO4(aq) –> PbCrO4(s) + 2 KNO3(aq)

The Arts and the Sciences have complementary histories of evolution. This history may be understood as the manner in which both of these human activities have pursued knowledge with regard to their understandings and relationships to what is understood and interpreted as Nature or Otherness. Just as Art pursues “object-less” representations of abstractions conceived in the mind so, too, does science attempt to understand our being-in-the-world through the projection of mathematical abstractions on what we think ‘reality’ is. Both art and science see themselves as ‘theories of the real’. While art must withstand the question Is it art? science, too, must withstand the question Is it science? particularly with regard to the Human Sciences. The responses to these questions can be either profound or downright silly.

Science is what we understand by ‘knowledge’, ‘knowing’. Art is what we understand by ‘making’, the performance that results in a ‘work’, whether that work be a painting, a musical composition, or a pair of shoes. Knowing and making are what we mean when we speak of “technology”, the combination of the two Greek words techne or ‘making’ and logos or ‘knowing’. The combining of these two words is something that the Greeks never did and would never do. The word was first coined in the 17th century with the rise of humanism. The ‘adopting of the lens’ of the artist by the scientist, or of the scientist by the artist is, obviously, a constant in the modern world since the outcomes or products of technology are the objects that we see all about us and which we use on a daily basis. The scientist’s knowing and the artist’s making are on display before us at this very moment if we are using a computer, an iPad or a handphone to read this blog.

The pursuit of science is the human response to a certain mode or way in which truth discloses or reveals itself. Science arises as a response to a claim laid upon human beings in the way that the things of nature appear. The sciences set up certain domains or areas (physics, chemistry, biology) and then pursue the revealing that is consistent within those domains. The claim laid upon human beings is to reveal truth, for it is in the revealing of truth that we are truly human. We are not fully human if we do not do so.

The domain, for example, of chemistry is an abstraction. It is the domain of chemical formulae. Nature is seen as a realm of formulae. Scientists pose this realm by way of a reduction; it is an artificial realm that arises from a very artificial attitude towards things. Water has to be posed as H2O. Once it is so posed, once things are reduced to chemical formulae, then the domain of chemistry can be exploited for practical ends. We can make fire out of water once water is seen as a compound of hydrogen and oxygen. In the illustration of Van Gogh’s “Sunflowers”, we have the chemical formula for the physical composition of Van Gogh’s yellow paint. While interesting, it tells us absolutely nothing of the painting itself and of the world or the artist that produced that painting. This is the situation with many recent discoveries in science, particularly the Human Sciences: their discoveries are interesting but tell us absolutely nothing meaningful about the world we live in.

The things investigated by chemistry are not “objects” in the sense that they have an autonomous standing on their own i.e. they are not “the thrown against”, the jacio, as is understood traditionally. For science, the chemist in our example, nature is composed of formulae, and a formula is not a self-standing object.  It is an abstraction, a product of the mind. A formula is posed; it is an abstraction. A formula is posed; it is an ob-ject, that is, it does not view nature as composed of objects that are autonomous, self-standing things, but nature as formulae. The viewing of nature as formulae turns things into posed ob-jects and in this posing turns the things of nature, ultimately, into dis-posables. The viewing of water as H2O, for example, demonstrates a Rubicon that has been crossed. There is no turning back once this truth has been revealed. That water can be turned into fire has caused restrictions in our bringing liquids onto airplanes, for instance, for they have the capability of destroying those aircraft.

“What we observe is not nature in itself but nature exposed to our method of questioning.  Our scientific work in physics consists in asking questions about nature in the language that we possess and trying to get an answer from experiment by the means that are at our disposal.”–Werner Heisenberg

What is the physicist Heisenberg saying here? The language that the scientist possesses is the mathematical projection or abstraction that is placed over the object that is questioned, but the object that is questioned can only appear in a manner pre-ordained by the nature of the questioning itself. Through experiment, the response to the question posed must be in the form of the mathematical language used: nature must respond ‘mathematically’. But what that nature is is not what has been traditionally understood as ‘nature’. The response must be consistent. The logos that is mathematics is this consistency.

For Heisenberg, what has been called nature has been ordered to report mathematically and this is the first level of abstraction. The mathematical viewing of nature makes the ob-ject of science non-intuitive. What does this mean? In the example above of Van Gogh’s “Sunflowers”, the color yellow is reduced to a formula describing a variety of chemical reactions between various compounds. In physics, the color yellow would be reduced to a formula describing a certain electro-magnetic wave. A person can then possess a perfect scientific understanding of the color yellow and yet be completely color blind i.e. they could not experience Van Gogh’s “Sunflowers” in its ‘reality’. In the same fashion, a person who knows yellow intuitively by perceiving yellow things such as sunflowers will fail to recognize the scientific formula as representing her lived experiences of the color yellow. This is what is meant to say that science is non-intuitive and is, thus, an abstraction.

Like the abstractions of the mathematical projections in physics and the projection of formulae in chemistry, abstract art is an art form that does not represent an accurate depiction of visual reality, communicating instead through lines, shapes, colours, forms and gestural marks. Abstract artists may be said to use the lens of the scientist with their varieties of techniques to create their work, mixing traditional means with more experimental ideas. Their work is a product of the mind (or the unconscious) and does not correspond to the Otherness that is what we understand as our being-in-the-world. Jackson Pollock described abstract art as “energy and motion made visible.” Pollock’s art, in a way, attempts to approach the art that is available for us through the cinema.

The examples provided are what we might call the “pure” theoretical scientists or the “pure” abstract artists. What is ‘gained’ by such ‘abstract’ attempts? What is gained is that through the discoveries of the scientists and the artists many applications of their findings are brought into our real world in a great variety of forms and products. The computer before us is a product of the application of the discoveries of quantum mechanics. It is a seamless connection between knowing and making, art and science, the lens of the scientist and the lens of the artist.

It is easy to see what has been ‘gained’ in the coming together of the arts and sciences that we know as technology. It is much harder to see what has been lost in this development. As I have shown in other writings on this blog, an indispensable condition of a scientific analysis of the facts is moral obtuseness. The lens of both the modern day scientist and the modern day artist are not moral lens. Modern art, in its following or mirroring of the seeing of the sciences, contributes to this moral obtuseness among human beings. Since art is essential in our being-with-others in a ‘real’ world, this does not bode well for the future.

Theory of Knowledge: An Alternative Approach

Why is an alternative approach necessary?