Hegel’s Preface

In Nature, Ends, Normativity I raised the question of what happens to Aristotelian teleology when we look at it through a Kantian critical lens, then made a preliminary gesture toward its resolution by invoking Hegel’s challenge and admonition to us in the Preface to the Phenomenology of Spirit to make ourselves at home in otherness. Just how making ourselves at home in otherness helps with the question about Aristotle and Kant may not be at all clear yet. For now it’s just a thought to keep in mind.

First I want to try to explore Hegel’s larger point in the Preface that I risked reducing to the phrase “make ourselves at home in otherness”, and let that lead where it may. This post won’t get to the point where the phrase is introduced. It’s even possible that I’m remembering it from a paraphrase in H. S. Harris’ outstanding commentary. I’ll walk through the Preface over the course of several posts, using Terry Pinkard’s translation published in 2018.

Hegel’s Preface is an extremely dense text that seems to very deliberately follow a non-linear order. It does have a development, but it doesn’t just proceed from beginning to middle to end. Rather, it seems to repeatedly circle around several key insights, adding a little more each time. Famously, he begins by rejecting the very idea that philosophical truth is the kind of thing that could be “introduced” or made easily digestible by a conventional preface.

He goes on to repeatedly criticize two chief ways in which philosophy is made digestible and shallow — one that treats truth as something merely formal, and one that claims to leap into absolute knowledge by means of intellectual intuition. Especially in some of the later parts, Hegel gives a number of valuable hints at what he thinks serious philosophy ought to look like.

“[C]onventional opinion holds that the opposition between the true and the false is itself fixed and set…. It does not comprehend the diversity of philosophical systems as the progressive development of truth as much as it sees only contradiction in that diversity…. However, at the same time their fluid nature makes them into moments of an organic unity in which they are not only not in conflict with each other, but rather, one is equally as necessary as the other” (p. 4).

Hegel is not at all advocating some trite relativism or erasure of distinctions here. He is objecting to the artificially “fixed and set” way in which what he calls formalism sees the truth of propositions taken in isolation. More positively, he seems to be suggesting that we view the great philosophers as participants in a common, mutually enriching dialogue rather than as competitors.

“[T]he subject matter [of philosophy] is not exhausted in its aims; rather, it is exhaustively treated when it is worked out. Nor is the result which is reached the actual whole itself; rather, the whole is the result together with the way the result comes to be…. [T]he unadorned result is just the corpse that has left the tendency behind…. The easiest thing of all is to pass judgment on what is substantial and meaningful. It is much more difficult to get a real grip on it, and what is the most difficult of all is both to grasp what unites each of them and to give a full exposition of what that is” (p. 5).

Here Hegel makes a very Aristotelian point about the essential role of actualization. What he is directly applying it to is philosophical accounts of things. We should be interested not just in philosophy’s ostensible conclusions, but in how they were arrived at. (But an analogous point could be made about the actual working out of Aristotelian teleology in the world. What is relevant to this is not just pure ends by themselves, but the whole process by which ends are actualized by means of concrete tendencies.)

“In positing that the true shape of truth lies in its scientific rigor — or, what is the same thing, in asserting that truth has the element of its existence solely in concepts — I do know that this seems to contradict an idea (along with all that follows from it), whose pretentiousness is matched only by its pervasiveness in the convictions of the present age. It thus does not seem completely gratuitous to offer an explanation of this contradiction even though at this stage such an explanation can amount to little more than the same kind of dogmatic assurance which it opposes” (p. 6).

By “scientific” he basically means rational. Hegel here aligns himself with Kant’s emphasis on the conceptual and discursive character of rationality, and with Kant’s closely related rejection of claims to immediate knowledge by intellectual intuition. He is particularly alluding to claims of intellectual intuition in the philosophy of nature by followers of Schelling, as well as to the religiosity of immediate feeling promoted by followers of the German literary figure F. H. Jacobi, from whom Kierkegaard borrowed the image of the leap of faith.

The “true shape of truth” Hegel contrasts these with lies in conceptual elaboration — interpretation and explanation, not just asserted conclusions. The measure of truth is the insight and understanding it gives us. He also notes a difficulty that I often feel in attempting to summarize the results of a substantial development: summaries always run the risk of shallowness and dogmatism.

Hegel continues ironically that for his contemporary opponents, “The absolute is not supposed to be conceptually grasped but rather to be felt and intuited” (ibid).

“There was a time when people had a heaven adorned with a comprehensive wealth of thoughts and images. The meaning of all existence lay in the thread of light by which it was bound to heaven and instead of lingering in this present, people’s view followed that thread upwards towards the divine essence; their view directed itself, if one may put it this way, to an other-worldly present. It was only under duress that spirit’s eyes had to be turned back to what is earthly and kept fixed there, and a long time was needed to introduce clarity into the dullness and confusion lying in the meaning of things in this world, a kind of clarity which only heavenly things used to have; a long time was needed both to draw attention to the present as such, an attention that was called experience, and to make it interesting and to make it matter. — Now it seems that there is the need for the opposite, that our sense of things is so deeply rooted in the earthly that an equal power is required to elevate it above all that. Spirit has shown itself to be so impoverished that it seems to yearn for its refreshment only in the meager feeling of divinity, very much like the wanderer in the desert who longs for a simple drink of water. That it now takes so little to satisfy spirit’s needs is the full measure of the magnitude of its loss” (pp. 7-8).

Hegel was critical of traditional Augustinian other-worldliness, but saved his special disdain for followers of Schelling and Jacobi.

“The force of spirit is only as great as its expression, and its depth goes only as deep as it trusts itself to disperse itself and to lose itself in its explication of itself. — At the same time, if this substantial knowing, itself so totally devoid of the concept, pretends to have immersed the very ownness of the self in the essence and to philosophize in all holiness and truth, then what it is really doing is just concealing from itself the fact that instead of devoting itself to God, it has, by spurning all moderation and determinateness, instead simply given itself free rein within itself to the contingency of that content and then, within that content, given free rein to its own arbitrariness” (ibid).

It is not enough just to have a concept like the absolute Idea.

“However, just as little of a building is finished when the foundation is laid, so too reaching the concept of the whole is equally as little the whole itself. When we wish to see an oak tree with its powerful trunk, its spreading branches, and its mass of foliage, we are not satisfied if instead we are shown an acorn. In the same way, science, the crowning glory of a spiritual world, is not completed in its initial stages. The beginning of a new spirit is the outcome of a widespread revolution in the diversity of forms of cultural formation; it is both the prize at the end of a winding path as it is the prize won through much struggle and effort” (p. 9).

He implicitly recalls Aristotle’s argument that the oak tree is logically prior to the acorn, and cautions against assuming perfection in beginnings.

“Only what is completely determinate is at the same time exoteric, comprehensible, and capable of being learned and possessed by everybody. The intelligible form of science is the path offered to everyone and equally available to all” (p. 10).

When the Idea is kept vague, it becomes the province of claims of esoteric knowledge and special genius. Here he links the idea of rational “science” to a democratic tendency. But we should also beware of premature claims.

“At its debut, where science has been wrought neither to completeness of detail nor to perfection of form, it is open to reproach” (ibid).

He goes on at length about the formalism of the Schellingians’ insistence that all is one. The rhetoric is strong, but he is standing up for the importance of difference and distinction, which I completely support.

To condense a good deal, “when what is demanded is for the shapes to originate their richness and determine their differences from out of themselves, this other view instead consists in only a monochrome formalism which only arrives at the differences in its material because the material itself has already been prepared for it and is something well known…. [N]owadays we see the universal Idea in this form of non-actuality get all value attributed to it, and we see that what counts as the speculative way of considering things turns out to be the dissolution of the distinct and determinate, or, instead turns out to be simply the casting of what is distinct and determinate into the abyss of the void…. To oppose this one bit of knowledge, namely, that in the absolute everything is the same, to the knowing which makes distinctions… that is, to pass off its absolute as the night in which all cows are black — is an utterly vacuous naivete in cognition” (pp. 11-12).

(Remaining parts of this walk-through of the Preface are, in order, Substance and Subject; At Home in Otherness; Otherness; and Foreshadowing the Concept.)

Nature, Ends, Normativity

From an Aristotelian point of view, the works of nature result from an ordering of ends. In modern terms, nature for Aristotle is not “value free”, and I take this to be a good thing. But from a strict Kantian point of view, we are the bearers of value, and the attribution of ends to nature independent of us is only a kind of beneficial heuristic projection. But if we radicalize the Kantian primacy of practical reason in the way that Brandom sees Hegel as doing, then all our theoretical accounts of nature, including those commonly regarded as value-free — and everything else we think, feel, and do — ultimately have a dependency on our inquiries into value and normativity.

From a Kantian point of view, our only access to objective nature is through our rational, discursive understanding. The very objectivity we attribute to nature depends on the objectivity of our understanding of it. Objectivity itself is a normative attitude. I think Kant and Aristotle ultimately agree in recognizing that we don’t have direct access to how things are in themselves, and that how things are in themselves is always a matter of discursive inference, in which the last word is never said.

Hegel emphasizes that the objectivity of understanding we achieve in this way is not a private possession, but something larger than us in which we participate. (See also Teleology After Kant.)

Thoughts on Teleology

Teleology is another subject on which my perspective has changed drastically over the years.

After a youthful fascination with Plotinus, my main interest turned toward the diverse group of writers loosely associated with French “structuralism”, several of whom were very interested in Spinoza. For some years, Spinoza became the great philosopher I identified with most. I had not explicitly thought much about teleology before, but Spinoza’s very sharp critique in the appendix to book 1 of the Ethics impressed me greatly. At the time, I did not trouble myself over whether it was fair to the historic Aristotle. I defended without reservation the strong determinism of Spinoza and the Stoics, emphasizing an understanding of the causes of things as the main path to enlightenment. At this time also, some contemporary writers on mathematical “chaos theory” were proposing what they called a superdeterminism, which would allow for deterministic explanation of all sorts of nonlinear phenomena, by an innovative separation of the notion of determinism from its traditional connotations of predictability. I had not yet begun to question what I have been referring to here as the “modern notion” of causality. My great preoccupation was with defending the possibility of ethics within a deterministic context.

My deeper engagement with Aristotle began initially with problems of things “said in many ways”. In my professional work as a data modeler, I was very concerned with the ambiguities of common-sense apprehensions of things, which I wanted to overcome in Platonic fashion. The univocity that Aristotle treats in a balanced way I initially saw more one-sidedly as an ideal to aim for in the quest for knowledge, though without underestimating the difficulty of attempting to treat everything in a univocal manner, or as comprehended by a single grand, consistent theory. Meanwhile, my personal interests were focused on questions of the interpretation of the history of human cultural development.

Gradually, I became more and more impressed with the importance of what I came to call “objective ambiguity” in history — the idea that this was not just a defect of our understanding or interpretation, but that the most objective reality of the concrete world may often reflect mixed or “in between” states of things. Eventually, I came to recognize that Aristotle, perhaps more than any other of the great philosophers, deeply thought about this and took it into account. I became aware of the arguments of Leibniz that all necessity is hypothetical, then realized Aristotle had already said that all necessity in generated things is hypothetical.

As Spinoza said, strict causal necessity rules out the “play” in things that leaves room for teleological explanation. But I have become convinced that that “play” in things is not something to be explained away as a mere appearance. Hypothetical necessity respects both the element of (conditional) necessity in things and this inherent “play”. It now appears to me as a priceless Aristotelian mean, and a kind of Hegelian synthesis of determination and play or flexibility.

The way Aristotle applies hypothetical necessity to determination by ends removes the mystery from final causes. Aristotle emphasizes the alternative that Spinoza ignored — that teleology need not be the product of conscious aims of a supernatural being or beings “intervening” in the natural order. In Aristotle’s non-reductionist view of the intelligibility of nature, natural things are shaped by inherent “tendencies” to seek certain states that are nonetheless not strictly determining. (See also Aristotle on Explanation; Ends; Equivocal Determination; Free Will and Determinism.)

Aristotle on Explanation

Book 1 chapter 1 of Parts of Animals provides an overview of Aristotle’s perspective on explanation in general. It is a nice synthetic text that brings together many of Aristotle’s core concerns, and shows his vision of how natural science ought to fit in with broader philosophy.

He begins by distinguishing between mere acquaintance with an area of study and being educated in it. “For an educated [person] should be able to form a fair judgment as to the goodness or badness of an exposition” (Complete Works, Barnes ed., vol. 1, p. 994). This seems to apply to any subject whatsoever.

Next he raises the more specific question of method. “It is plain then that, in the science which inquires into nature, there must be certain canons, by reference to which a hearer shall be able to criticize the method of a professed exposition, quite independently of the question whether the statements made be true or false” (ibid).

Continuing to emphasize the critical thinking that is the mark of an educated person, he makes it explicit that some of the most important questions about a subject are what I would call second-order questions, having to do with how we ought to approach the matter at hand. The educated person will give due emphasis to these, rather than naively rushing to deliver judgments on questions of fact.

“Ought we, for example (to give an illustration of what I mean) to begin by discussing each separate substance — man, lion, ox, and the like — taking each kind in hand independently of the rest, or ought we rather to lay down the attributes which they have in common in virtue of some common element of their nature? For genera that are quite distinct present many identical phenomena, sleep, for instance, respiration, growth, decay, death, and other similar affections and conditions…. Now it is plain that if we deal with each species independently of the rest, we shall frequently be obliged to repeat ourselves over and over again; for horse and dog and man present every one of the phenomena just enumerated” (ibid).

The educated person looks for explanations, not just facts or correspondences. The specific “dogginess” of a dog, for example, does not explain its sleeping, breathing, and so on. Instead these activities, which it shares with many other animals, are explained by natures common to all of them.

Further, the kind of method Aristotle commends to us is not a matter of following recipes by rote. Instead, it is a thinking approach that involves persistently following the thread of explanations wherever it leads.

“So also there is a like uncertainty as to another point now to be mentioned. Ought the student of nature follow the plan adopted by the mathematicians in their astronomical demonstrations, and after considering the phenomena presented by animals, and their several parts, proceed subsequently to treat of the causes and the reason why; or ought he to follow some other method? Furthermore, the causes concerned in natural generation are, as we see, more than one. There is the cause for the sake of which, and the cause whence the beginning of motion comes. Now we must decide which of these two causes comes first, which second. Plainly, however, that cause is the first which we call that for the sake of which. For this is the account of the thing, and the account forms the starting-point, alike in the works of art and in works of nature. For the doctor and the builder define health or house, either by the intellect or by perception, and then proceed to give the accounts and the causes of each of the things they do and of why they should do it thus” (p. 995).

He raises the question of which kind of cause comes first, because he wants to suggest a different answer from that of the pre-Socratic “physicists” who attempted to explain everything by properties of different kinds of matter. Elsewhere he says that Plato and the atomist Democritus (whose writings are lost) did better than others at following the thread of explanation, but he considers the elaborated account of ends or “that for the sake of which” to be one of his own most important contributions.

Notably he only mentions two kinds of cause here, rather than the classic four. Similarly, there are passages in other texts where he lists a different number of categories than the canonical ten from the Categories. Later authors often viewed things like causes and categories in a reified, univocal way, as susceptible to exact enumeration. But for Aristotle, these are abstractions from a concrete reality that comes first, to be wielded in a context-sensitive way, so the canonical enumerations are not absolute.

Aristotle’s understanding of the “beginning of motion” is different from that promoted by early modern physics. Conventionally in the reading of Aristotle, the “beginning of motion” is associated with the efficient cause, and these two terms are understood in a somewhat circular way, which is really informed by some broadly intuitive sense of what a “beginning” of motion is. Early modern writers assumed that this “beginning” must be some kind of immediate impulse or force. Aquinas associated it with God’s act of creation and with the free acts of created beings. For Aristotle himself it is neither of these.

My best reading of efficient cause is that it is the means by which an end is realized. In many cases the end is realized not by just one means but by a hierarchy of means (e.g., art of building, carpenter, carpenter’s hammer, hammer’s blow). Aristotle and the scholastics emphasized the top of such hierarchies (e.g., the art of building for Aristotle; God or some metaphysical principle for the scholastics), whereas the early moderns emphasized the bottom (e.g., the hammer’s blow), akin to the proximate cause of concern to liability lawyers. For Aristotle, the art of building and not the hammer’s blow is the true “beginning” of the motion of house construction, because it provides the guiding thread of explanation for the whole process of building the house. But even the art of building is still just a means that gets its meaning from the reasons why we would want to build a house in the first place.

He continues, “Now in the works of nature the good and that for the sake of which is still more dominant than in works of art, nor is necessity a factor with the same significance in them all; though almost all writers try to refer their accounts to this, failing to distinguish the several ways in which necessity is spoken of. For there is absolute necessity, manifested in eternal phenomena; and there is hypothetical necessity, manifested in everything that is generated as in everything that is produced by art, be it a house or what it may. For if a house or other such final object is to be realized, it is necessary that first this and then that shall be produced and set in motion, and so on in continuous succession, until the end is reached, for the sake of which each prior thing is produced and exists. So also is it with the productions of nature. The mode of necessity, however, and the mode of demonstration are different in natural science from what they are in the theoretical sciences [e.g., mathematics]…. For in the latter the starting-point is that which is; in the former that which is to be. For since health, or a man, is of such and such a character, it is necessary for this or that to exist or be produced; it is not the case that, since this or that exists or has been produced, that of necessity exists or will exist. Nor is it possible to trace back the necessity of demonstrations of this sort to a starting-point, of which you can say that, since this exists, that exists [as one might do in mathematics]” (ibid).

In Aristotle’s usage, “nature” applies to terrestrial things that are observably subject to generation and corruption. He earlier referred to astronomical phenomena like the apparent motions of the stars and planets as “eternal” because on a human scale of time, these are not observably subject to generation and corruption. For Aristotle, absolute necessity could only apply to things that are absolutely unchanging. We may have a different perspective on astronomy, but that does not affect the logical distinction Aristotle is making. His key point here is that things subject to generation are not subject to absolute necessity. Leibniz took this a step further and argued that hypothetical necessity is the only kind there is. Kant, in arguing that hypothetical and disjunctive judgment (“if A then B” and “not both A and B“) are more fundamental than categorical judgment (“A is B“), made a related move.

Hypothetical necessity has a particular form that is worth noting. As Aristotle points out in the quote above, under hypothetical necessity “it is not the case that, since this or that exists or has been produced, that of necessity exists or will exist”. To give a positive example, hypothetical necessity says that to continue living, we must eat. But it does not in any way dictate a particular series of motions that is the only way this can be accomplished, let alone the whole series of eating-related actions throughout one’s life. Neither does it dictate that we will eat in any particular instance.

How we meet a particular need is up to us. The reality of this flexibility built into nature is all we need to explain freedom of action. Humans can also affirmatively embrace commitments and act on them; that too is up to us. Freedom is not an arbitrary or supernatural power; it simply consists in the fact that nature is flexible, and many things are up to us.

Aristotle contrasts the way a thing is naturally generated with the way it is. “The best course appears to be that we follow the method already mentioned — begin with the phenomena presented by each group of animals, and, when this is done, proceed afterwards to state the causes of those phenomena — in the case of generation too. For in house building too, these things come about because the form of the house is such and such, rather than its being the case that the house is such and such because it comes about thus…. Art indeed consists in the account of the product without its matter. So too with chance products; for they are produced in the same way as products of art” (pp. 995-996).

“The fittest mode, then, of treatment is to say, a man has such and such parts, because the essence of man is such and such, and because they are necessarily conditions of his existence, or, if we cannot quite say this then the next thing to it, namely, that it is either quite impossible for a man to exist without them, or, at any rate, that it is good that they should be there. And this follows: because man is such and such the process of his development is necessarily such as it is; and therefore this part is formed first, that next; and after a like fashion should we explain the generation of all other works of nature” (p. 996).

This way of reasoning backwards from an essence to its prerequisites is complemented by the fact that for Aristotle (and Plato) essences themselves are a prime subject of investigation, and not something assumed. “Begin with the phenomena”, he says.

Many 20th century philosophers have objected to presumptuous talk about the “essence of man”, and to any explanation in terms of essence. But these objections presuppose that the essence is something assumed, rather than being an object of investigation as it clearly was for Plato and Aristotle. Here also it is needful to distinguish between what we might call the distinguishing essence of humanity used to pick out humans — e.g., “rational/talking animal” — and what Leibniz later called the complete essence of each individual. Clearly also, the parts of the human body do not follow directly from “rational/talking animal”, but from many other attributes “presented in the phenomena”. It turns out that humans share these attributes with other animals, and they can therefore be conceptualized as attributes of common genera to which we and those other animals belong.

Because essences themselves are a prime subject of investigation and are ultimately inferred from phenomena, the kind of teleological reasoning Aristotle recommends always has a contingent character, which is how it naturally accounts for what the moderns call freedom. This contingency is built into in the “hypothetical” character of hypothetical necessity.

“Does, then, configuration and color constitute the essence of the various animals and their several parts? For if so, what Democritus says will be correct…. And yet a dead body has exactly the same configuration as a living one; but for all that it is not a man. So also no hand of bronze or wood or constituted in any but the appropriate way can possibly be a hand in more than name. For like a physician in a painting, or like a flute in a sculpture, it will be unable to perform its function” (p. 997).

Aristotle was the historic pioneer of “functional” explanation. Here he insists that the essences of living beings and their parts must be understood in terms of their characteristic activities. This development for the sake of biology parallels the deeper development of the meaning of “substance” in the Metaphysics as “what it was to be” a thing, and as actuality and potentiality.

“If now the form of the living being is the soul, or part of the soul, or something that without the soul cannot exist; as would seem to be the case, seeing at any rate that when the soul departs, what is left is no longer an animal, and that none of the parts remain what they were before, excepting in mere configuration, like the animals that in the fable are turned into stone; if, I say, this is so, then it will come within the province of the natural scientist to inform himself concerning the soul, and to treat of it, either in its entirety, or, at any rate, of that part of it which constitutes the essential character of an animal; and it will be his duty to say what a soul or this part of a soul is” (ibid).

Here it is important that we consider soul in the “phenomena first” way that Aristotle develops it.

“What has been said suggests the question, whether it is the whole soul or only some part of it, the consideration of which comes within the province of natural science. Now if it be of the whole soul that this should treat, then there is no place for any philosophy beside it…. But perhaps it is not the whole soul, nor all of its parts collectively, that constitutes the source of motion; but there may be one part, identical with that in plants, which is the source of growth, another, namely the sensory part, which is the source of change of quality, while still another, and this is not the intellectual part, is the source of locomotion. For other animals than man have the power of locomotion, but in none but him is there intellect. Thus it is plain that it is not of the whole soul that we have to treat. For it is not the whole soul that constitutes the animal nature, but only some part or parts of it” (p. 998).

Aristotle’s opposition to treating the soul as a single lump reflects his overall functional, activity-oriented, and phenomena-first approach.

“Again, whenever there is plainly some final end, to which a motion tends should nothing stand in its way, we always say that the one is for the sake of the other; and from this it is evident that there must be something of the kind, corresponding to what we call nature” (ibid).

Overall teleology always has to do with tendencies, not absolute determinations. He begins to wrap up this introduction by giving another example of the hypothetical necessity whose concept he pioneered.

“For if a piece of wood is to be split with an axe, the axe must of necessity be hard; and, if hard, must of necessity be made of bronze or iron. Now in exactly the same way the body, since it is an instrument — for both the body as a whole and its several parts individually are for the sake of something — if it is to do its work, must of necessity be of such and such a character, and made of such and such materials.”

“It is plain then that there are two modes of causation, and that both of these must, so far as possible, be taken into account, or at any rate an attempt must be made to include them both; and that those who fail in this tell us in reality nothing about nature” (p. 999).

Again, the two modes here are “that for the sake of which” and the phenomena associated with generation. Considering either of these in isolation yields an incomplete understanding, as we see respectively in bad scholasticism and bad empiricism.

“The reason why our predecessors failed to hit on this method of treatment was, that they were not in possession of the notion of essence, nor of any definition of substance. The first who came near it was Democritus, and he was far from adopting it as a necessary method in natural science, but was merely brought to it by constraint of facts. In the time of Socrates a nearer approach was made to the method. But at this period men gave up inquiring into nature, and philosophers diverted their attention to political science and to the virtues that benefit mankind” (ibid).

Socrates and Plato initially pioneered the notion of “that for the sake of which”, but in turning away from the phenomena of generation and becoming, they gave it a somewhat one-sided character.

The subtle way in which Aristotle wields the concept of essence avoids treating it as an absolute, or as something strictly univocal. In any given context, there is a clear relative distinction between essence and accident, but the distinction is not the same across all contexts. Hypothetical necessity provides the mechanism by which what is “accident” at one level of analysis can be incorporated into “essence” at another level. (See also Hermeneutic Biology?; Aristotelian Causes; Secondary Causes; Aristotle’s Critique of Dichotomy; Classification.)

Aristotle’s Critique of Dichotomy

Chapter 3 of the extraordinarily rich book 1 of Aristotle’s Parts of Animals contains a strong critique of the notion of classification by dichotomy, with implications reaching far beyond its original context. The idea that he criticizes is Platonic division into As and not-As, which is intended to result in a binary tree structure (i.e., a tree-shape in which all the branches are binary).

Platonic division was perhaps inspired by the two-sided character of Platonic dialectic, which was concerned with impartially examining the implications of both sides of some disputable question, particularly in the form of arguments for and against some thesis or other. Aristotle’s own dialectic has a more general form that is not bound to arguments for and against, but rather is simply concerned with an impartial examination of the consequences of hypotheses.

But in any case, classification in a world is a different problem from that of impartially examining a single hypothesis.

Ignoring Aristotle’s lesson, and strongly influenced by the more general impoverished notion of logical judgment as grammatical predication, early modern writers on natural history attempted to follow an a priori theory of univocal classification. But for Aristotle, there is no a priori theory of classification. Instead, the starting point is what Kant would call the implicitly schematized manifold of a concrete world.

Aristotle points out that if classification were reducible to the assignment of predicates, then to consistently classify a world or any given collection, there would have to be some one order in which we divide things by one predicate, then another, and so on. By examples he illustrates the fact that by this method, it is impossible to arrive at the division of animal species that we recognize in nature.

He also makes the more general argument that half of the classifying terms in any classification by sequential predication will be negatives, and that negative terms cannot be properly subdivided.

“Again, privative [negative] terms inevitably form one branch of dichotomous division, as we see in the proposed dichotomies. But privative terms in their character of privatives admit of no subdivision. For there can be no specific forms of a negation, of Featherless for instance or of Footless, as there are of Feathered and of Footed. Yet a generic differentia must be subdivisible; for otherwise what is there that makes it generic rather than specific? There are to be found generic, that is to say specifically subdivisible, differentiae; Feathered for instance and Footed. For feathers are divisible into Barbed and Unbarbed, and feet into Manycleft, and Twocleft, like those of animals with bifid hoofs, and Uncleft or Undivided, like those of animals with solid hoofs. Now even with the differentiae capable of this specific subdivision it is difficult enough so to make the classification that each animal shall be comprehended in some one subdivision and not in more than one (e.g. winged and wingless; for some are both — e.g. ants, glowworms, and some others); but far more difficult, impossible, is it to do this, if we start with a dichotomy into two contradictories. For each differentia must be presented by some species. There must be some species, therefore, under the privative heading. Now specifically distinct animals cannot present in their substance a common undifferentiated element, but any apparently common element must really be differentiated. (Bird and Man for instance are both Two-footed, but their two-footedness is diverse and differentiated. And if they are sanguineous they must have some difference in their blood, if blood is part of their substance.) From this it follows that one differentia will belong to two species; and if that is so, it is plain that a privative cannot be a differentia.” (Complete Works, Barnes ed., vol. 1, p. 1000).

Aristotle’s positive conclusion is as as follows:

“We must attempt to recognize the natural groups, following the indications afforded by the instincts of mankind, which led them for instance to form the class of Birds and the class of Fishes, each of which groups combines a multitude of differentiae, and is not defined by a single one as in dichotomy. The method of dichotomy is either impossible (for it would put a single group under different divisions or contrary groups under the same division), or it only furnishes a single differentia for each species…. As we said then, we must define at the outset by a multiplicity of differentiae. If we do so, privative terms will be available, which are unavailable to the dichotomist” (pp. 1001-1002, emphasis added).

This is consistent with Plato’s more general advice that classifiers, like butchers, should “cut at the joints”, i.e., look for natural distinctions rather than imposing artificial ones. Dipping back again to the negative argument, Aristotle adds:

“Now if man was nothing more than a Cleft-footed animal, this single differentia would duly represent his essence. But seeing that this is not the case, more differentiae than this one will necessarily be required to define him; and these cannot come under one division; for each single branch of a dichotomy end in a single differentia, and cannot possibly include several differentiae belonging to one and the same animal.”

“It is impossible then to reach any of the ultimate animal forms by dichotomous division” (p. 1002; see also Classification; Hermeneutic Biology?.)

Life Is Non-Boolean

George Boole (1815-1864) invented what we now call Boolean logic, which effectively assumes that all propositions are classifiable as either “true” or “false”, with no gradations of evidence or undecided cases. This provided the basis for formally defining logical operators in terms of how they transform what are called truth values, which are just the Boolean values of “true” and “false”. The use of so-called truth tables to define logical operators by cases is characteristic of what is today called “classical” logic.

Though it certainly has its uses in technical contexts, this kind of approach has been criticized as tacitly presupposing what has been called logical omniscience or the assumption of a closed world. For example, in computer science Boolean data types are used to represent things that are stipulated to have one of exactly two values. Then if we can rule out one, we can simply assume the other. This creates a closed world. “Omniscience” is implied by this kind of assumption.

The great developer of mathematical logic Gottlob Frege (1848-1925), at least at one point in his career, went so far as to argue that there are really only two distinct logical propositions: “true” and “false”. Depending one’s point of view, what I call real-world meanings are either reduced to nothing by this or are irrelevant to it.

From the point of view of “constructive” logic, on the other hand, there are infinitely many distinct propositions, distinguishable by the combination of what they presuppose and what they imply. It begins to be possible to reconstruct real-world meanings within logic instead of only outside of it.

In real life there are countless distinctions that are relevant and meaningful, and countless things that we simply don’t know. (See also Logic for People.)

Facts and Incomplete Information

A modern notion of hard-nosed common sense is to appeal exclusively to positive facts. This is also a major basis of simplistic notions of empirical science. Serious scientific methodologies are more indirect, and quite a bit more involved.

From a broadly Kantian point of view that I think Plato and Aristotle would also endorse, all putative facts are really just assertions of facts, made by people. The validity of the corresponding assertions depends on the soundness of the reasons that lead us to believe them. Thus, regardless of whether our concern is ethical or scientific, it is always the quality of reasons that matters in assessing the validity of assertions.

The notion of a fair and objective weighing of evidence for or against an assertion presupposes that we symmetrically consider the pro and con, as Plato emphasized in his discussions of “dialectic”. But the simplistic bias for positive facts results in an inherently asymmetrical treatment any time we have to deal with incomplete information, because what putative facts we currently have in our possession is in part a matter of sheer chance.

In a fact-biased approach, if there happen to be insufficient facts in our possession to adequately support a hypothesis, the hypothesis is likely to be be dismissed out of hand as “speculation”, regardless of how inherently plausible it might otherwise be. We end up assuming something is not true merely because we cannot empirically prove it is true. This is independent of any other prejudice that may also enter into situations involving human judgment.

Once again, I want to recommend a prudent suspension or qualification of belief in cases of incomplete information, rather than active disbelief. (See also Debate on Prehistory.)

Debate on Prehistory

This is a bit of a tangent from the usual topics here, but recently I’ve been dwelling on the distinctions between knowledge, well-founded belief, and not-so-well-founded belief, and I’m taking that as the point of departure. It should be no insult to science (and I certainly mean none) to suggest that empirical science aims only at what I’ve been calling well-founded belief, though received views are commonly taken for simple knowledge. The difference is that well-founded beliefs can still potentially be invalidated by new arguments or information, whereas real knowledge ought to be unconditionally valid.

I’ve been fascinated with prehistory since childhood, and in recent decades especially with the emergence of rich human cultures. Much has changed in this field during my lifetime, as relatively well-founded beliefs were replaced by better-founded ones. For example, it is now generally accepted that modern birds are surviving members of the theropod group of the dinosaur family that included raptors and T. rex, and that the extinction of the (other) dinosaurs was caused by a massive asteroid impact in the Gulf of Mexico ca. 65 million years ago.

Similarly, it is now widely accepted that biologically modern humans emerged in Africa two to three hundred thousand years ago, rather than in Europe only 40,000 years ago. Humans crossed the open sea from Southeast Asia to Australia over 50,000 years ago. If the previously known cave paintings from the late-glacial Magdalenian culture in southwest Europe were not already amazing enough testaments to the human spirit, the Chauvet cave (subject of the wonderful documentary film Cave of Forgotten Dreams by Werner Herzog) was discovered in 1994 to have equally magnificent paintings that turned out to be twice as old (from around 36,000 BP). Gobekli Tepe in Turkey has multi-ton megaliths dating from 9500 BCE, a little before the earliest evidence of agriculture in that region.

Agriculture is now believed to have independently originated in at least 11 different parts of the Old and New Worlds. Wikipedia now mentions small-scale cultivation of edible grasses by the Sea of Galilee from 21,000 BCE. Sickles apparently used for intensive harvesting of wild grains have been found in the Nile valley from at least 18,000 BCE. The Middle Eastern Natufian culture (ca. 15,000-11,500 BP) was previously thought to have had the world’s oldest agriculture, and still boasts the earliest evidence of baked bread (14,400 BP). Some Natufian portable art bears a striking stylistic resemblance to similar artifacts from Magdalenian Europe at roughly the same time. Numerous archaeologists and anthropologists have suggested that agriculture may have had a very long prehistory, beginning with deliberate efforts to promote the growth of particular wild plants that humans valued.

Currently, there is a big ongoing controversy over the cause of dramatic climate changes that occurred around 12,850 BP, at the beginning of the 1200-year period known as the Younger Dryas. The most recent ice age had begun to recede by around 20,000 BP, and the world had been getting gradually warmer. But then, suddenly, in perhaps only a single year’s time, temperatures fell by an astonishing 9 to 14 degrees centigrade. Then, in somewhere between a few years and a few decades, temperatures apparently rose again by 5 to 10 degrees centigrade. Several massive glacial lakes seem to have suddenly been emptied into the ocean, cooling it down, and there is evidence of gargantuan flooding. On a larger time scale of several thousand years including the Younger Dryas, worldwide sea levels are generally accepted to have risen around 400 feet. Many submerged archaeological sites have already been found, but this could be the tip of the proverbial iceberg.

Due to human-induced climate change, we are currently facing a sea level rise of around 50 feet from melting of the remaining ice caps, which is expected to be catastrophic. Four hundred feet dwarfs that. Today the great majority of the world’s population lives in or near coastal areas, and this may well have been true during the ice age too. Around the time of the Younger Dryas, there is evidence of intensive fishing by cultures like the Jomon of Japan — who also produced pottery older than any known from the Middle East — and the Magdalenians in Europe (not to mention many fresh-water fishing villages spread across what is now the Sahara desert).

By this time, humans would have been biologically modern for over 200,000 years, and had been at least occasionally producing magnificent art for at least 20,000 years. Stone and bone tools with amazing elegance and sophistication had been in use equally long. All hunter-gatherer cultures known to modern anthropology have complex culture, language, and spiritual beliefs. But somehow, we still have the prejudice that hunter-gatherers and “cave people” must have been extremely primitive.

The controversy I mentioned concerns evidence that like the dinosaur extinction, the Younger Dryas was caused by a cataclysm from space. Since 2007 the “Younger Dryas impact theory” has been hotly debated, but it now appears to be gaining ground. I have no particular stake in what really caused the Younger Dryas; I’m really more interested in its effects on humans. But the controversy potentially provides an interesting case study in how highly intelligent, educated people can effectively confuse apparently well-founded belief with “knowledge” that would supposedly be beyond doubt.

It also happens to be the case that Plato in the Critias gives a date for the sinking of the mythical Atlantis at around the time of the Younger Dryas. I don’t assume there is any accuracy in the details of the story — the island with the circular city and so forth — but I think archaeology already provides the basis for an extremely well-founded belief that late-glacial stone age cultures had already reached very high levels of sophistication, and that much more evidence may be hidden at as yet undiscovered underwater sites. This doesn’t mean people back then were flying around in spaceships or anything, or had magical powers, or even that they produced metal. Our standards for what represents “advanced” culture are highly distorted by our own obsessions with technology and money.

Incidentally, Plato in the Laws also casually suggests that animal and plant species come into being and pass away, as well as something like the succession of human material culture from stone to soft metals to iron. The Critias story is attributed to the Athenian lawgiver Solon, who supposedly heard it from an Egyptian priest during his travels there, but no source is given for the apparently accurate speculations about prehistory in the Laws.

All the modern fringe speculation around the Atlantis myth — and around “historical” readings of mythology in general — has given this stuff a bad name. We ought to suspend belief in things for which the evidence is shaky. But a suspension of belief need not — and should not — necessarily imply active disbelief. Our active disbeliefs ought to be well-founded up to the same standard as our active beliefs, and ought not to fall to the level of prejudice.

Socratic Wisdom

“I went to one who had the reputation of wisdom, and observed him — his name I need not mention; he was a politician whom I selected for examination — and the result was as follows: When I began to talk with him, I could not help thinking that he was not really wise, although he was thought wise by many, and wiser still by himself; and I went and tried to explain to him that he thought himself wise, but was not really wise; and the consequence was that he hated me, and his enmity was shared by several who were present and heard me. So I left him, saying to myself, as I went away: Well, although I do not suppose that either of us knows anything really beautiful and good, I am better off than he is – for he knows nothing, and thinks that he knows. I neither know nor think that I know. In this latter particular, then, I seem to have slightly the advantage of him. Then I went to another, who had still higher philosophical pretensions, and my conclusion was exactly the same. I made another enemy of him, and of many others besides him” (Plato, Apology, Jowett trans.).

The greatest wisdom a human can have is to recognize what we don’t really know. This can be a touchy point, because people who think they just know things they imagine to be true usually don’t like to be told otherwise. But in most areas, the best we can aim for is well-founded belief, which is to say belief that is capable of responding resiliently and in good faith to open-ended Socratic questioning or dialogue, and thus is responsive to the space of reasons. (See also The Epistemic Modesty of Plato and Aristotle).

Sellars on Kantian Imagination

The analytically trained Kantian pragmatist Wilfrid Sellars (1912-1989) is increasing recognized as one of the greatest American philosophers of the 20th century. It has been said that he played a central role in taking analytic philosophy from its empiricist beginnings to a new Kantian stage. He is known for his critique of the “Myth of the Given”, his work on material inference, and his concept of the space of reasons. I found an essay of his on the Kantian productive imagination.

He begins by contrasting two approaches to perceptual judgment. First is a standard empiricist notion that goes as far as possible in reducing judgment to grammatical predication, to the point where the perception itself is treated as a bare this, and all the cognitive work of judgment is concentrated in applying a predicate to the bare this.

“Traditionally a distinction was drawn between the visual object and the perceptual judgment about the object…. This suggested to some philosophers that to see a visual object as a brick with a red and rectangular facing surface consists in seeing the brick and believing it to be a brick with a red and rectangular facing surface: ‘This is a brick which has a red and rectangular facing surface’…. Notice that the subject term of the judgment was exhibited above as a bare demonstrative, a sheer this, and that what the object is seen as was placed in an explicitly predicate position (“The Role of Imagination in Kant’s Theory of Experience”, in In the Space of Reasons: Selected Essays of Wilfrid Sellars, Scharp and Brandom, eds., p. 455).

Rather than pretending that perception gives us only a bare this, we should recognize that at least we talking animals live always already immersed in meaningful content. The most primitive human sense perception involves taking something not just as this, but as something with definite characteristics. This will turn out to be what Kant calls a schema, as distinct from a concept.

“I submit, on the contrary, that correctly represented, a perceptual belief has the quite different form: ‘This brick with a red and rectangular facing surface’. Notice that this is not a sentence but a complex demonstrative phrase. In other words, I suggest that in such a perceptually grounded judgment as ‘This brick with a red and rectangular facing side is too large for the job at hand’ the perceptual belief proper is that tokening of a complex Mentalese demonstrative phrase which is the grammatical subject of the judgment as a whole. This can be rephrased as a distinction between a perceptual taking and what is believed about what is taken…. From this point of view, what the visual object is seen as is a matter of the content of the complex demonstrative Mentalese phrase” (ibid).

In a nonessential decoration of the argument, he mentions “Mentalese”, a term used by analytic philosophers for inner speech. We need not concern ourselves here with whether or not there is a “mental language” distinct from, but patterned on, natural language, as this term suggests. The important point is that in every human perceptual “taking”, there is a kind of linguistic or language-like articulation, which we can express with a phrase consisting of classifying terms and syntactic relations between them.

“We must add another distinction, this time between what we see and what we see of what we see…. How can a volume of white apple flesh [hidden inside the apple] be present as actuality in the visual experience if it is not seen? The answer should be obvious. It is present by virtue of being imagined (p. 457).

“Before following up this point, it should be noticed that the same is true of the red of the other side of the apple. The apple is seen as as having a red opposite side. Furthermore, the phenomenologist adds, the red of the opposite side is not merely believed in; it is bodily present in the experience. Like the white, not being seen, it is present in the experience by being imagined” (ibid).

Here he seems to recall Husserl’s perceptual “adumbrations” or foreshadowings. Sellars is a bit more straightforward and explicit in attributing these to imagination.

“Notice that to say that it is present in the experience by virtue of being imagined is not to say that it is presented as imagined…. Red may present itself as red and white present itself as white; but sensations do not present themselves as sensations, nor images as images. Otherwise philosophy would be far easier than it is” (pp. 457-458).

When we imagine something to be the case, we are most often not aware that we are doing so. We simply think or believe that it is the case. As soon as we already have experience, what Sellars in the thin modern sense calls the “actual” presence of the imagined content comes to us as primitively mixed in with that of the perceived content. It takes work to analytically separate them, and any such separation always has a hypothetical character.

“But while these [hidden] features are not seen, they are not merely believed in. These features are present in the object of perception as actualities. They are present by virtue of being imagined” (p. 458).

As with Husserl’s “presentified” contents, the contributions of imagination are not theoretical constructs, but part of the experience itself.

“We do not see of objects their causal properties, though we see them as having them…. To draw the proper consequences of this we must distinguish between imagining and imaging, just as we distinguish between perceiving and sensing…. Roughly imagining is an intimate blend of imaging and conceptualization, whereas perceiving is an intimate blend of sensing and imaging and conceptualization” (ibid).

I like the way Sellars recognizes the interweaving inherent to these “intimate blends” of imaging and conceptualization.

“Notice that the proper and common sensible features enter in both by virtue of being actual features of the image and by virtue of being items thought of or conceptualized. The applehood [by contrast] enters in only by virtue of being thought of (intentional in-existence)” (pp. 458-459).

“The upshot of the preceding section is that perceptual consciousness involves the constructing of sense-image models of external objects. This construction is the work of the imagination responding to the stimulation of the retina…. The most significant fact is that the construction is a unified process guided by a combination of sensory input on the one hand and background beliefs, memories, and expectations on the other. The complex of abilities included in this process is what Kant called the ‘productive’ as contrasted with the ‘reproductive’ imagination. The former, as we shall see, by virtue of its kinship with both sensibility and understanding unifies into one experiencing the distinctive contributions of these two faculties” (p. 459).

Here we have a very basic Kantian point about the nature of experience — all perception involves imaginative construction. Objects are not just given to us fully constituted.

“Notice once again that although the objects of which we are directly aware in perceptual consciousness are image-models, we are not aware of them as image-models. It is by phenomenological reflection (aided by what Quine calls scientific lore) that we arrive at this theoretical interpretation of perceptual consciousness…. Thus we must distinguish carefully between objects, including oneself, as conceived by the productive imagination, on the one hand and the image-models constructed by the productive imagination, on the other” (pp. 459-460).

In common with Plato, Kant is at pains to point out that everything we experience — including everything we apprehend in inner sense — is appearance. I would say we also have “contact” with reality underlying the appearances, but we do not easily get knowledge of that reality.

“Kant distinguishes between the concept of a dog and the schema of a dog…. [O]ur perceptual experience does not begin with the perception of dogs and houses…. But though the child does not yet have the conceptual framework of dogs, houses, books, etc., he does, according to Kant, have an innate conceptual framework — a proto-theory, so to speak, of spatio-temporal physical objects capable of interacting with each other; objects — and this is the crux of the matter – which are capable of generating visual inputs which vary in systematic ways with their relation to the body of the perceiver ” (p. 460).

Here he explains the important Kantian notion of a schema. Concepts express nonperspectival essences, but schemas are perspectival, involve potentially sensible content, and implicitly include a relation to a perceiver.

“Consider the example of a perceiver who sees a pyramid and is walking around it, looking at it. The concept of a red pyramid standing in various relations to a perceiver entails a family of concepts pertaining to sequences of perspectival image-models of oneself-confronting-a-pyramid. This family can be called the schema of the concept of the pyramid…. Notice that the pyramid-schema doesn’t follow from the concept of a pyramid alone. It follows from the complex concept of pyramid in such-and-such relations to a perceiver” (p. 461).

In a Kantian context, we have no access to a sensible world apart from a perceiver’s perception of it.

“However thin — as in the case of the child — the intuitive representation may be from the standpoint of the empirical concept involved, it nevertheless contains in embryo the concept of a physical object now, over there, interacting with other objects in a system which includes me. It embodies a proto-theory of a world which contains perceivers of objects in that world” (p. 465).

Here we have the basis of Kant’s “transcendental deduction”, which aims to show that perception and imagination effectively already presuppose the same categories that govern understanding. This is how Kant recovers the possibility of objectivity.