Abstract and Concrete

In contrast to later traditional “metaphysics”, Aristotle recommended we start with the concrete, but then aim to dialectically rise to higher understanding, which is still of the concrete. In any inquiry, we should begin with the things closer to us, but as Wittgenstein said in a different context, we should ultimately aim to kick away the ladder upon which we climbed.

What Aristotle would have us eventually kick away is by no means the concrete itself, but only our preliminary understanding of it as a subject of immediate, simple reference. Beginnings are tentative, not certain. We reach more solid, richer understanding through development.

Aristotle’s discussion of “primary” substance in Categories has often been turned into a claim that individuals are ontologically more primary than form. This is to misunderstand what Categories is talking about. Aristotle explicitly says Categories will be about “things said without combination” [emphasis added], i.e., about what is expressed by kinds of apparently atomic sayings that are used in larger sayings.

The initial definition of substance in the strict or “primary” sense — which he will eventually kick away in the Metaphysics — is of a thing (said) “which is neither said of something underlying nor in something underlying”. (Aristotle often deliberately leaves it open whether he is talking about a referencing word or a referenced thing — or says one and implies the other — because in both cases, the primary concern is the inferential meaning of the reference.)

This initial definition is a negative one that suffices to distinguish substance from the other categories. By implication, it refers to something that is said simply of something, in the way that a proper name is. As examples, he gives (namings of) an individual human, or an individual horse.

“Socrates” would be said simply of Socrates, and would thus “be” — or refer to — a primary substance in this sense. The naming of Socrates is an apparently simple reference to what we might call an object. As Brandom has noted, this picks out a distinctive semantic and inferential role that applies only to references to singular things.

Aristotle then says that more universal namings or named things like “human” and “horse” are also “substances” — i.e., can also refer to singular objects — in a secondary sense, as in “that horse”. Then substance in general is further distinguished, by saying it is something A such that when something else B is said of it, both the naming and the “what-it-is” of B are said of the primary or secondary substance A. (See also Form; Things in Themselves; Definition.)

If a horse as such “is” a mammal of a certain description, then that horse must be a mammal of that description. If a mammal as such “is” warm-blooded, then that horse “is” warm-blooded.

These are neither factual nor ontological claims, but consequences of a rule of interpretation telling us what it means to say these kinds of things. Whether or not something is a substance in this sense is surely a key distinction, for it determines the validity or invalidity of a large class of inferences.

Based on the classification of A as an object reference and B as something said of A, we can make valid inferences about A from B.

When something else C is said of the non-substance B, by contrast, we still have a “naming” of B, but the “what-it-is” or substantive meaning of C does not apply to B itself, but only modifies it, because B is not an object reference. Applying the substantive meaning of C to B — i.e., making inferences about B from the meaning of C — would be invalid in this case.

Just because, say, warm-blooded as such “is” a quality, there is no valid inference that mammals “are” qualities, or that that horse “is” a quality. The concern here is with validity of a certain kind of inference and interpretation, not ontology (or epistemology, either).

In the Metaphysics, the initial referential notion of substance as something underlying is explicitly superseded through a far more elaborate development of “what it was to have been” a thing that emphasizes form, and ultimately actuality and potentiality. The appearance of what might be mistaken for a sort of referential foundationalism is removed. (See also Aristotelian Dialectic.)

I also think he wanted to suggest that practically, a kind of preliminary grasp of some actuality has to come first in understanding. Actuality is always concrete and particular, and said to be more primary. But potentiality too plays an irreducible role, in underwriting the relative persistence of something as the “same” something through change, which motivated the earlier talk about something underlying. The persistence of relatively stable identities of things depends on their counterfactual potentiality, which can only be apprehended in an inferential way. (See also Aristotelian Demonstration.)

It does make sense to say that things like actuality and substance inhere more in the individual than in the species, but that is due to the meanings of actuality and substance, not to an ontological status.

Aristotelian Demonstration

Demonstration is literally a showing. For Aristotle, its main purpose is associated with learning and teaching, rather than proof. Its real objective is not Stoic or Cartesian certainty “that” something is true, but the clearest possible understanding of the substantive basis for definite conclusions, based on a grasping of reasons.

Aristotle’s main text dealing with demonstration, the Posterior Analytics, is not about epistemology or foundations of knowledge, although it touches on these topics. Rather, it is about the pragmatics of improving our informal semantic understanding by formal means.

For Aristotle, demonstration uses the same logical forms as dialectic, but unlike dialectic — which does not make assumptions ahead of time whether the hypotheses or opinions it examines are true, but focuses on explicating their inferential meaning — demonstration is about showing reasons and reasoning behind definite conclusions. Dialectic is a kind of conditional forward-looking interpretation based on consequences, while demonstration is a kind of backward-looking interpretation based on premises. Because demonstration’s practical purpose has to do with exhibiting the basis for definite conclusions, it necessarily seeks sound premises, or treats its premises as sound, whereas dialectic is indifferent to the soundness of the premises it analyzes in terms of their consequences.

We are said to know something in Aristotle’s stronger sense when we can clearly explain why it is the case, so demonstration is connected with knowledge. This connection has historically led to much misunderstanding. In the Arabic and Latin commentary traditions, demonstration was interpreted as proof. The Posterior Analytics was redeployed as an epistemological model for “science” based on formal deduction, understood as the paradigm for knowledge, while the role of dialectic and practical judgment in Aristotle was greatly downplayed. (See also Demonstrative “Science”?; Searching for a Middle Term; Plato and Aristotle Were Inferentialists; The Epistemic Modesty of Plato and Aristotle; Belief; Foundations?; Brandom on Truth.)

Contradiction vs Polarity

The simple term “day” does not contradict the simple term “night”, although they may be conventionally treated as polar opposites. If we agree to treat them that way, then the proposition “It is day” contradicts the proposition “It is night”.

Hegel developed idiosyncratic shorthand ways of talking that may have the misleading appearance of suggesting that he ignored this distinction. In popular references to Hegelian dialectic, it is very common to hear about “contradictions” between so-called opposites. This can lead to massive misunderstanding of what Hegel was really trying to say, especially if one does not realize how concerned he was to deconstruct so-called polarities.

Polarities involve pairs of terms related by classical negation. A is the opposite of B if A = not-B, where “not” satisfies not-not-X = X. In fact, Hegel routinely criticized so-called Understanding for taking such polarities at face value.

In another piece of idiosyncratic shorthand, he talked about a “unity of opposites”. This refers to a sort of conceptual interdependence, not identity in the strict sense.

A single term may be taken as shorthand for many judgments characterizing a thing. Then “contradiction” between two terms actually refers to some contradiction between implications of the associated judgments.

Platonic dialectic in its most canonical form considered in turn the implications of pairs of contradictory propositions, in order to canvas all possibilities. The important part was really the examination of implications. Hegel, too, was far more interested in analyzing extended implications of things than in some dance of polarities.

Hegel’s dialectic — like Aristotle’s — is fundamentally about improving the subtlety of our distinctions, and thus the quality of our reasoning. If we begin with a polar opposition, the intent is to supersede it. As I previously noted, the standard method for superseding a polar opposition for Hegel is to move toward the concrete — i.e., to replace the abstract, “infinite”, classical negation of polar opposition with some suitable finite difference or specific material incompatibility or “determinate negation”, as he liked to call it. (See also Aristotelian and Hegelian Dialectic; Three Logical Moments.)

Aristotelian and Hegelian Dialectic

When Hegel talked about dialectic instead of just using it, he occasionally made it sound as if dialectic governed events in the world. This is a loose, popular way of speaking that should not be taken literally. Dialectic is the main tool of the forward progress of philosophical criticism, and thus indirectly helps refine our understanding of the world and events in it. It could not directly drive events.

It is actually very hard to draw a sharp line between the world “in itself” and our understanding of it, because our understanding (in the general, not the specifically Hegelian sense) is all we actually have to go on. Our sense of the world in itself is permeated by artifacts of our understanding, because it comes entirely from our understanding.

But then it turns out that our understanding is not just some private, subjective thing of ours. Our understanding participates in the world, and is part of it. The cultivation of shareable thought grounds objectivity in (our sense of) the world. Much of the content of shareable thought comes to us from outside. In a poetic manner of speaking, it could be said that the world thinks itself through us. But in a more direct way, we are the agents and stewards of the world’s thought. In particular, it advances through us. There is thus no wall between our understanding and the world. There is a meaningful distinction, but the content of shareable thought straddles the boundary, so to speak.

Aristotle’s version of dialectic is much less famous nowadays, but a great deal easier to understand, and it does not require apologetics of the sort I just provided for Hegel’s. It uses logic and semantics to analyze the meaning of things said, making no assumption whether or not they are grounded in knowledge.

Aristotle explicitly said (Topics, book 1) that this is the way to investigate first principles (i.e., starting points) of knowledge. With respect to such starting points, we have no possibility of knowledge in the strong sense (episteme) — which requires development — but only a kind of initial personal acquaintance or familiarity (gnosis), as he said in Posterior Analytics.

There has been a strong tradition of misinterpretation of this latter passage. With no textual basis, many people who wanted to read Stoic-style foundationalism back into Aristotle — or were influenced by others with this sort of motivation — have glossed Aristotelian gnosis as something like a strong intellectual intuition, and claimed Aristotle was saying first principles of knowledge were better known in a strong sense, rather than just more familiar. (See also Aristotelian Demonstration.)

Aristotle’s actual practice, however, confirms the reading of first principles of knowledge as themselves objects of mere familiarity rather than strong knowledge. (Aristotle’s loftier principles are ends, not starting points of knowledge, and he typically places discussion of them at the end of an inquiry.) His starting points for inquiries are very pragmatic. He typically begins an inquiry with logical/semantic (i.e., “dialectical”) analysis of widely known opinions on the subject. He also explicitly recommends that we begin any inquiry from what is closer to us, and then, through analysis, refine our understanding. (See also The Epistemic Modesty of Plato and Aristotle).

The development of knowledge starts from what is close to us and easier to grasp, and becomes progressively more secure through the dialectical work we do on it. Aristotelian dialectic uses the same logical forms as demonstration, but is mainly concerned with inferential semantic analysis rather than deriving conclusions. (Even Aristotelian demonstration is concerned not so much with deriving conclusions, as with perspicuously showing their basis.) Aristotle does the great majority of his actual work with dialectic rather than demonstration.

Once one becomes familiar with the profile of the Aristotelian version, it becomes possible to see something very like it at the core of Hegel’s way of working — not so much in what he says about it, as in what he does. (See also Essence and Concept; Aristotelian Dialectic; Dialogue; Scholastic Dialectic; Contradiction vs Polarity; Three Logical Moments.)

Foundations?

Foundationalism is the mistaken notion that some certain knowledge comes to us ready-made, and does not depend on anything else. One common sort involves what Wilfrid Sellars called the Myth of the Given.

Certainty comes from proof. A mathematical construction is certain. Nothing in philosophy or ordinary life is like that. There are many things we have no good reason to doubt, but without proof, that still does not make them certain.

In life, high confidence is all we need. Extreme skepticism is refuted by experience. It is not possible to live a life without practical confidence in many things.

Truth, however, is a result, not a starting point. It must be earned. There are no self-certifying truths, and truth cannot be an unexplained explainer.

In philosophy, we have dialectical criticism or analysis that can be applied from any starting point, then iteratively improved, and a certain nonpropositional faith in reason to get us going. All we need is the ability to question, an awareness of what we do not know, and a little faith. We can always move forward. It is the ability to move forward that is key. (See also Interpretation; Brandom on Truth; The Autonomy of Reason.)

Three Logical Moments

The “Logic Defined & Divided” chapter of Hegel’s Encyclopedia Logic contains some brilliant, relatively popular aphorisms from his lectures, and provides a nice introduction to his views. Having recently treated with approval Kant’s denunciation of speculation in the usual sense, I’m turning to this now because among other riches, it contains Hegel’s recovery of an alternative, much more positive sense for “speculation”. As Aristotle would remind us, things are said in many ways, and it is wise to give heed to the differences.

Hegel says that every notion and truth involves three moments that are all essential and cannot really be separated from one another: Understanding, Dialectic, and Speculation.

In other places, Hegel frequently polemicizes against the narrowness and rigidity of mere Understanding. Here, he rounds out the picture, noting that “apart from Understanding there is no fixity or accuracy in the region of theory or of practice” and that knowledge begins “by apprehending existing objects in their specific differences”. He cites examples of how Understanding contributes to science, mathematics, law, practical life, art, religion, and philosophy.

Preparing the transition to dialectic, he notes “It is the fashion of youth to dash about in abstractions — but the man who has learnt to know life steers clear of the abstract ‘either-or’, and keeps to the concrete”. Dialectic for Hegel if viewed separately is the moment of “negative” Reason or criticism. He says that dialectic subordinated to Understanding’s mode of thought leads to skepticism, but dialectic freed from this subordination builds on distinctions developed by the Understanding, even while “the one-sidedness and limitation of the predicates of understanding is seen in its true light”. Dialectic studies things “in their own being and movement”. He goes on to expound Plato’s use of dialectic, and its difference from sophistry. (See also Contradiction vs Polarity; Aristotelian and Hegelian Dialectic.)

Speculation in Hegel’s special sense is the “positive” moment of Reason, which if considered separately begins from a kind of faith in reasonableness in the world. He implicitly connects it with a charitable reading of the long religious tradition of faith seeking understanding, construed in such a way as to be not incompatible with a charitable version of Enlightenment criticism. He notes that “the true reason-world, so far from being the exclusive property of philosophy, is the right of every human being [of] whatever grade of culture or mental growth”, adding that “experience first makes us aware of the reasonable order of things… by accepted and unreasoned belief”. Once this rational order becomes an object of thought rather than mere belief, we have speculative Reason proper.

Speculative Reason builds on both Understanding and dialectic. “A one-sided proposition… can never even give expression to a speculative truth.” He notes a connection between this and basic intuitive fairness. Starting from a simple faith in the reasonableness of the world and advancing through various stages of criticism, speculative Reason ultimately realizes substance as subject, and overcomes the dichotomy of subject and object.

Dialectic undid the abstract, atomistic, foundationalist, “either-or” tendencies of isolated Understanding. Speculative Reason in Hegel’s sense turns this into a new affirmation. In many places, Hegel talks about Reason or dialectic in ways that subsume both the dialectical and the speculative moment described here.

I read Hegelian speculative Reason — or dialectic incorporating the speculative moment — as just ordinary reason moving forward without the crutches of foundationalism and dogmatic claims of certainty. Reason without foundationalism is concerned with the very same open-ended work of interpretation I have attributed to Aristotle. Ultimately, Hegelian Reason is defeasible rational interpretation of experience, optimistically doing the best we can with the resources we have, and always on the lookout for something better. Thus, it too can be reconciled with Kantian discipline. (See also “Absolute” Knowledge?)

Dialectical Illusion?

The Transcendental Dialectic part of Kant’s Critique of Pure Reason is mainly concerned with negative conclusions about traditional metaphysics, after the positive conclusions of the Transcendental Analytic. Some sections of the Dialectic, like his arguments about the soul in the Paralogisms and about rational proofs of the existence of God in the section on the Ideal, seem sound, while others, like the overall thesis of the Antinomies that reason necessarily produces contradictory conclusions about cosmology, seem very forced.

Kant’s notion of “dialectic” as essentially generating illusions rather than as the antidote and testing ground for illusions seems unfortunately grounded in little more than early modern anti-Scholastic prejudice (but see Self-Evidence for an alternate or complementary explanation based on the difference between dialectic and demonstration).

I thoroughly agree with his main point that the role of pure reason is not to give us new truths about the world, but to be concerned with higher-order interpretation of experience. I also think the various illusions he points out do seem like illusions, but they seem to me more like tacit assumptions deriving from specific historical cultural formations than inevitable accompaniments of the use of reason. (See Aristotelian Dialectic; Mediation.)

Antinomies?

Despite many brilliant breakthroughs, Kant sometimes went astray. In his eagerness to recommend that reason should confine itself to matters of possible experience, in the Antinomies section of the Critique of Pure Reason he resorted to artificially staged arguments purporting to show that reasoning beyond possible experience necessarily leads to opposite conclusions, between which it cannot arbitrate. It seems to me that the apparent contradictions he derives are all due to uncontrolled use of particular conflicting assumptions, and therefore say nothing at all about limitations of pure reason per se. Kant should have been content simply to argue that there are many kinds of questions that pure reason alone cannot decide. On the other hand, the unfortunate weakness of these arguments does not affect the general soundness of his recommendation to stay within the realm of possible experience. (See also Self-Evidence.)

Classification

Like definition, classification sometimes gets an unjustified bad name. It is not a kind of truth about the world, but rather plays an expressive role, helping to explain the meaning of what is said. Classification makes it possible to substitute simple names for arbitrarily complex conditions or adverbial expressions, allowing the underlying complexity to be abstracted away, or reconstructed as needed.

In Book 1 of Parts of Animals, Aristotle shows great sophistication about this. He explicitly argues against Plato’s recommended procedure of “division” or repeated application of binary distinctions, noting that many significant real-world distinctions are better approached as n-ary or manifold than as binary.

He also explicitly notes how difficult and arbitrary it ends up being to develop real-world classifications in a strictly hierarchical manner, arguing for a more holistic approach, which cannot be reduced to a sequential application of lower-level operations.

Good real-world classifications are arrived at through dialectical trial, error, and iterative self-correction over time. Conversely, behind every ordinary referential use of simple names for things is a complex implicit dialectical/semantic development. (See also Aristotle’s Critique of Dichotomy; Hermeneutic Biology?; Difference; Aristotelian Identity; Substance; Aristotelian Semantics.)

Dialectic, Semantics

Aristotle’s potent combination of dialectic with semantics starting from common experience guides his interpretations of things throughout his work. (Metaphysics applies this general approach especially to higher-order cases.) His core concepts are mainly either tools for this — like form, matter or circumstance, ends, means, actuality, potentiality, hylomorphism, difference, univocity and equivocity, and substance — or they are the results of applying such an approach in particular contexts. (See also Material Inference; Practical Judgment.)