Reflection and Dialectic

As with dialogue, reflection provides a kind of model for dialectic. Reflection can be understood as an either metaphorical or literal dialogue with ourselves. We “question ourselves”, which is to say we examine and potentially criticize or refine the basis of our own commitments. Further, actual dialogue is always implicitly dialogue among fellow rational beings, all of whom are engaged at least to some extent in their own reflective activity, just by virtue of being rational beings, so dialogue implicitly presupposes reflection.

Pippin quotes Hegel: “But at issue here is neither the reflection of consciousness, nor the more specific reflection of the understanding that has the particular and the universal for its determination, but reflection in general…. For the universal, the principle or the rule and law, to which reflection rises in its process of determination is taken to be the essence of the immediate from which the reflection began…. Therefore, what reflection does to the immediate, and the determinations that derive from it, is not anything external to it but is rather its true being” (Hegel’s Realm of Shadows, pp. 238-239).

And again: “In general, this means nothing but this: Anything which is, is to be considered to exist not as an immediate, but as a posited; there is no stopping at immediate determinate being [Dasein] but a return must rather be made from it back into its ground, and in this reflection it is a sublated being and is in and for itself. What is expressed by the principle of sufficient reason is, therefore, the essentiality of immanent reflection as against mere being” (p. 239).

In the first quote, Hegel is again emphasizing that what he means by reflection is not just looking in a figurative mirror, but rather something more like finding an orientation among (or building a synthesis of) the potentially infinite mutual reflections in a hall of mirrors. Reflection “in general” is a name Hegel gives to reflection with this kind of potentially infinite dimension. (That the infinity here should be called potential is my friendly Aristotelian interpolation.)

In the second quote, he is saying that this kind of reflection — lifted out from the distinction between reflective activity and what it reflects upon — is what he would call the “truth” of everything that appears to be immediately determinate.

The principle of sufficient reason as formulated by Leibniz effectively says that for everything that is in some definite way, there is a reason why it is that way. Hegel is saying more specifically that such “reasons why” emerge immanently from the reflective grounding of what he is in a nonstandard way calling essence. What Leibniz cannot show is how a particular essence or monadic point of view results in certain predicates and not others; despite great sophistication, he is still to some extent using essence and monads as unexplained explainers to avoid what Hegel calls the “problem of indifference”. Hegel on the other hand explicitly makes essence and explanation interdependent.

“[T]he ‘principles’ of identification and differentiation are deeply intertwined, not independent of each other” (p. 240).

“[A] thing’s determinate properties are not, cannot be, a mark of that thing’s unlikeness from other things, just by being those properties…. If one thing is red and another square, we do not thereby know one is unlike the other; they are just two different things. A locomotive has nothing to do with a melody; it is not unlike a melody. We are trying to account not for determinate otherness, as in the logic of being, but for how objects that share properties (are like) could be, even with an extraordinary degree of such likeness, still unlike” (p. 241).

“Some of this anticipates topics in the logic of the Concept. Two trees are alike in being trees but unlike in being two individual trees. The idea will be that just in their likeness, their way of being alike, that they are unlike (different trees), just in the way each distinctly instantiates ‘treeness’ that they are unlike. Such a different ‘way of being a tree’ is not another property but the way the tree-properties are ‘had’ by the individual” (p. 242).

“Hegel is thinking of the way in which the specifying work of ‘unlikeness’ cannot be a matter of individual properties, atomistically conceived, but unlikeness within likeness is best understood as some content, the unlikeness of which is strict, even within such likeness. Some charge can be both positive and negative; some number, 4, can be both +4 and -4; some quantity of money can be an asset and also a debt pending; some force can be attractive and repelling; some distance marched east is canceled by the same distance marched west, and all these are ‘opposed’ only within some common likeness” (ibid).

I find “either-or” language more appropriate to these cases than the “both-and” language above, but the intent is the same. The distinctions in each sub-case are concrete “opposites” applicable to some specific context, and each definable only in reference to the other. In each case, it is possible to abstract an indifferent thing being measured or assessed — “positive-or-negative-quantity” for the one, and “virtue-or-vice” for the other.

“The ‘world’s being contradictory’ means nothing more than that, as he says, virtue cannot be virtue just by being other than, different from, in comparison with, vice, but only by ‘the opposition and combat in it’ against vice” (p. 243, emphasis in original).

Pippin complicates the matter with this example, because “relative” seems to have a different significance in the context of virtue and vice than it does in, say, that of positive and negative numbers. But the intended point is a very abstract one about constitution of meanings that is common to both cases. Whatever the difference between the two “oppositions” (positive/negative, virtue/vice), in each case the two sub-terms are somehow measured or assessed “against” one another.

“Hegel is trying to specify how affirming contrary predicates (‘in opposition’) does not amount to a logical contradiction. That is the point of his discussion, to make this distinction, not to treat such oppositions as if they were logically contradictory and then to affirm them anyway. As [Michael] Wolff puts it, Hegel’s orientation… is not from sentence or predicate negation, but from developments in the understanding of negative numbers and from Kant’s defense of Newton on positive and negative magnitudes. In general, then, mathematical, not logical negation” (pp. 243-244).

This is extremely important. The status of negative numbers was still controversial in Hegel’s time. Kant and Hegel contributed to their acceptance. Hegel struggled to invent new language to distinguish ambiguous cases in his Logic and to say reasonable things about them, but readers (certainly including myself) have found his unique idioms very hard to follow. Most of the ink spilled over “contradiction” in Hegel has been based on fundamental misunderstandings. (See also Negation and Negativity.)

“To use an empirical example, if the question is something like ‘Why did the ball fall to the ground?’ we want to avoid two kinds of answers: ‘because whenever a heavy object is dropped from a height, it falls’; and ‘it is in the nature of heavy things to fall’. Doing so, avoiding these alternatives, will allow us to see that the relation between a ‘ground’ and ‘what it grounds’ must be understood as a dynamic relation, one whereby the determinacy of the ground and that of the grounded cannot be fixed in isolation from each other” (pp. 245-246).

He quotes Hegel: “But the being that appears and essential being stand referred to each other absolutely. Thus concrete existence is, third, essential relation; what appears shows the essential, and the essential is in the appearance. — Relation is the still incomplete union of reflection into otherness and reflection into itself; the complete interpenetrating of the two is actuality” (p. 246).

“The general point [Hegel] keeps making is: a strict separation of the two moments, and an insistence that the nature of an appeal to an essence, or to a causal law, or to someone’s reason for acting cannot be understood as punctuated moments on the billiard-ball model of causation, but involve a kind of unity, the development of a kind of unity, much closer (yet again) to Aristotle on energeia. This essential-being-as-activity, manifesting itself in its appearances, is what should count as ‘actuality’. This has the implication that many existing things have no actuality, are not really ‘anything’. A lump of dirt, a cough, a strand of wire” (ibid).

“The question for Hegel is the question of ‘actuality’, not ‘existence’, or the sensibly apprehensible, just as for Aristotle, the question is the ‘really real’, to ontos on.” (p. 247).

Pippin quotes from the Encyclopedia Logic, “The logical is to be sought in a system of thought-determinations in which the antithesis between subjective and objective (in its usual meaning) disappears. This meaning of thinking and of its determinations is more precisely expressed by the ancients when they say that nous [“intellect”, or thought in a non-psychological sense] governs the world” (p. 248).

Here “governs” is meant in a constitutive sense. The important point is that the “thought-determinations” here are indifferent to the ordinary distinction between a subjective “thinker” and an objective “thought content”.

In this context he speaks of “this dynamical relation, this Ur-relation of all relations” (ibid).

“I have tried to show in another book that the most important, most clarifying implications of this Ur-relation occur in Hegel’s practical philosophy, both in his account of human agency, and in the implications of that account for the practical theory of freedom in his Philosophy of Right and theory of objective spirit in general (ibid).

“[T]he full demonstration of the truth of this Ur-relation lies in what it actually illuminates, in the cogency and credibility of, for example, an account of agency based on it” (p. 249).

It was the outstanding (and very Aristotelian) account of Hegel’s view of agency in Hegel’s Practical Philosophy that first attracted me to Pippin’s work.

In his own idiom, Hegel says “thus the inner is immediately the outer, and it is this determinateness of externality for the reason that it is the inner; conversely, the outer is only an inner because it is only an outer” (quoted, ibid.)

Pippin comments, “He does not mean here anything as obvious as: when I do something, my ex ante intention is fulfilled and so becomes something outer, just as what was done, the bodily movement, counts as an action because it expressed this ex ante intention. The passage does not say that the inner becomes the outer, nor that the outer is the expression of the inner. It says: there is no ex ante intention except as outer. It is the outer. And there is no outer except as what must count as inner, nor that it expresses a separable inner. There is no such separation” (pp. 249-250; see also Hegel on Willing).

This concludes Pippin’s chapter on the logic of essence. Unsurprisingly, we have not uncovered any magic formula that would tell us which appearances manifest the essence in particular cases. Such a thing seems completely impossible to me; we should not expect to be able to find any general formula covering an unspecified collection of particulars. Any judgments involving particulars must in part at least come back to something like Aristotelian deliberation and practical judgment, which yield only particular results.

Nonetheless, in discussing the logic of essence we have ruled out some important classes of misunderstandings, and we have set the stage for the climax of Hegel’s Logic in the “logic of the concept”. The logic of the concept will take as a starting point the non-separation of “inner” and “outer” that has been shown in the logic of essence.

Next in this series: “The” Concept?

Negation and Negativity

“Hegel is willing to say some extraordinary things about the concept he sometimes calls ‘negation’, sometimes ‘negativity’. What he has been taken to mean has been the source of most of the criticism of Hegel: that he confused logical negation with actual opposition, as in the oppositions of forces or magnitudes in general in the world; that he thought everything in the world contradicted itself, and so believed that pairs of contradictory judgments could both be affirmed; or simply that what he said about negation and contradiction cannot be coherently understood. And any commentator must face the fact that he invoked the notion of negation in many different contexts in many different ways. So the first task is to have in view that variety of contexts before we can understand what they all might have in common (if anything)” (Pippin, Hegel’s Realm of Shadows, p. 139).

Some time ago I touched on the most elementary parts of this thorny issue in Contradiction vs Polarity. My basic sense at this point is that Hegel does indeed have very worthwhile things to say on this very distinctive theme of his, but that the standard connotations of his core vocabulary for talking about it — negation, negativity, contradiction — are so impoverished relative to what he really means in his extensive and varied metaphorical uses of it that the vocabulary does not communicate well.

Pippin identifies five somewhat overlapping contexts that ought to be taken into account in a serious interpretation of Hegelian negation: the nature of thinking; the talk about freedom; the nature of intelligibility; the notion of speculative truth; and the talk about contradiction.

In the context of the nature of thinking, he says “In the simplest sense, we are talking about the logical structure of apperceptive intentional knowledge, as well as the ontological status of agency. What it means to claim that the intelligibility of any content of empirical knowledge is not… wholly ‘positive’… is best understood by contrast. If it were not so and were wholly positive, subjectivity would be something like a mere complex registering and responding device (of the same ontological status as a thermometer) ” (p. 141).

“As we have seen, one is not simply wholly absorbed in the presence of the world to one, not wholly and merely reactive to the stimulation of sensibility, and that ‘not’ is the beginning (but certainly not the end) of all the logical issues of negation that emerge in Hegel’s philosophy, at both the phenomenological and the logical level. In making such a judgment I ‘negate’ the mere immediacy or givenness of perceptual content, negate it as immediate and putatively given, and take up, am always taking up, a position of sorts about what is there, what is the case” (p. 142).

The suggestion is that all “taking” of things to be thus-and-such for Hegel implicitly involves a negation of immediacy.

“What thinking is is such a ‘negation’ of one’s immediate ‘positive’ state. (One can say: this negation of mere immediacy is ‘taking a stand’, rather than being put into a state.) Any thinking could be a seeming-to-be-the-case, not what is the case, and that possibility is constitutive of the act’s being a judging in the first place…. The constitutive feature attended to in a Hegelian philosophical logic is the fact that judgments are potentially responsive to reasons and revisions just qua judgments” (ibid).

Pippin thus cites responsiveness to reasons as another non-obvious instance of negation for Hegel.

“And in being an agent, I am not simply causally responsive to inclinations and desires; there is no ‘fullness of positive being’ here either. I interrupt or negate positive being (what I feel inclined to do, experience as wanting to do) by deliberating and resolving what to do” (p. 143).

Deliberation is another non-obvious instance.

“As noted before, the closest first and general approximation of what he means is Aristotelian: subjectivity (thinking and acting according to norms) is the distinct being-at-work… of the biological life form that is the human, reason-responsive substance; this in the same sense in which Aristotle says, if the eye were body, seeing would be its form, its distinctive being-at work” (ibid).

Subjectivity in general is another.

“Instead of thinking of the fundamental act of understanding as a synthesis of independent, originally unrelated elements, either by subsuming an individual under a concept, or by including one concept under another, we should understand ourselves, both in experience and in logical reflection, beginning with ‘wholes’, never with experiential or logical subsentential simples [individual words] or atoms” (pp. 143-144).

Hegel presents this last point as a sort of inversion of Kant, and it does speak to some of Kant’s language. But I would argue that the true starting point of Kantian synthesis is not experiential or logical atoms, but rather the sensible manifold in intuition, which is only potentially differentiable. This brings Kant closer to Hegel. True, the manifold has such a loose unity that arguably it might have trouble qualifying as a “whole”, but even less does it consist in already predifferentiated “atoms”. In Kant I think we have no basis for identifying putative atoms in experience until “after” the figurative synthesis of imagination has done its work. (It is the preconscious, in a non-Kantian sense “spontaneous” figurative synthesis that for Kant creates an inevitable gap between being and thinking, and that for Hegel gives us the fixed representations relied upon by common sense.)

In the context of freedom, Pippin says that “In the same way that judging, insofar as it is genuine, holds open the possibility of its negation or disconfirmation, just by being judging, not by virtue of any second, reflective act…, a deliberation about action, if it is to be a deliberation, is open to the force of reasons the agent has already accepted by deliberating at all, a possibility criterial for his acting at all…. [Hegel] is insisting on the logical or categorical requirements of the normative, and in that sense (the sense in which freedom is normatively constrained judgment and rational action), the negative (here only the possibility of not doing what I am powerfully inclined to do) is ‘that by which a person is free’. (And he does not mean any uncaused causality, but that which counts to the subject as a reason” (p. 147).

Normativity in general thus counts as depending on a kind of negation.

“In terms of the structure of the Logic, what Hegel will want to argue is that we cannot adequately explain freedom if we consider just a determinate property that some beings happen to have…, and we cannot explain it either as a kind of essential ideal, manifest in but never adequately expressed in its appearances, in concrete individual actions…. We need the logic of the Concept, in which concepts are said to ‘give themselves their own content’ and be ‘self-determining’ in a way indebted to [the] Kantian claim on self-legislation…. Any philosophical determination of actuality must be understood as ‘self-legislating’ in the broad sense [that] reason relies only on itself in determining such a normative structure. These are not empirical questions. There is no flash of ‘essence intuition’ (Wesenschau) giving access to a world of abstract immaterial objects, essences” (p. 148).

Self-legislation too involves some subtle kind of negation.

In the context of the nature of intelligibility, Pippin says “Every determination of every sort of content in the Logic is a negation of some insufficient determinacy that must be able to be conceived positively” (p. 153). This is another way of characterizing the basis of the notorious “movement” in Hegel’s logic.

The determination of content for sure involves negation.

In the context of speculative truth, he mentions that “[E]valuative judgments, like ‘this action is good’, or our familiar ‘this is a bad house’, will be paradigmatic examples of judgment in the logic of the Concept. They do not qualitatively specify a thing by distinguishing it from other things; they do not identify the appearances that show the ‘essence’ of the thing; they understand the content ‘in terms of its concept'” (p. 154).

Evaluation of anything against its concept is another subtle variety.

In the context of the notorious “contradiction”, Pippin says “So in a general sense, one has to say that a thing… ‘includes’ its contrary, or more precisely its relation to its contrary, in order to be, and be known to be, what it is. Neither of these ‘moments’ of negation involves contradiction in the Aristotelian sense because ‘is’ and ‘is not’, while said of the same thing and at the same time, are not meant in the same sense. But Hegel wants for various reasons to call such an analyzed state a ‘contradiction’, and there is some ground in the use of the term for saying that…. In the simplest sense, personifying the process, what someone intends to say, means to say, can be ‘contradicted’ by what is actually said, what he finds he has to or can say” (p. 156).

Evaluation of any outcome against intent is another.

Pippin notes that Hegel says retrospectively at the end of the Logic that the abstract treatment typical of the logic of being and the logic of essence is due to “mere opinion” or lack of awareness of what it is actually treating. “It cannot say what it means to say” (p. 157). This is yet another way of characterizing the Logic‘s “movement”.

Logical “movement” is another.

“Hegel’s speculative notion of contradiction is not predicate or sentence negation…. [H]e means to focus attention on concept negation…. Now concepts, understood as rules, have content by being understood to have the content that they have. To understand a rule is to know how to use it, and in using it, to know one is following it…. So understanding… is not… ‘grasping a content’ but understanding what the rule instructs us to think. That is, the concept is always already a moment of discursive activity, a thinking through of its implications” (pp. 158-159).

“[T]he considerations discussed so far should not be understood to be matters of formal clarity…. As Hegel insisted, we are not studying how we think about (or talk about) matters (or even how we ‘must’ think). The question is a question about ‘any possible intelligibility’, and so about being in its intelligibility, … not ‘our ways’ of rendering intelligible” (p. 160).

All the above varieties of “negation” involve normativity in one way or another. Here Pippin again emphasizes the universality of criteria of intelligibility that Hegel counterposes to the Kantian gap between thinking and being.

“The forms of intelligibility are the forms of what could be true, although they do not settle the question of what, in particular, is true” (p. 175).

“[O]ur first orientation in trying to understand Hegelian negation should be not the logical operation of predicate or sentence negation, but real opposition…. [Michael] Wolff also thinks that the controversy in the eighteenth century about positive and negative magnitudes, especially as it surfaced in Kant, as well as the emerging clarity about negative numbers, played a far larger role in the development of Hegel’s thinking about negation and contradiction than did a reflection on the logic of the formal operator” (pp. 177-178).

Real opposition is an instance of contrariety, which is actually much more relevant to Hegel than formal logical contradiction.

“Hegel’s category of becoming, so important at the beginning of the logic of being, owes much to Hegel’s defense of Newton and the latter’s doctrine of the becoming equal of magnitudes” (pp. 178-179).

“Critics like Crusius were aghast at the idea of forces having positive and negative values. But Kant understood that such ‘values’ (and here again an important precedent for Hegel) had those values in relation to each other, not absolutely, that they were relative values, arbitrarily reversible even” (pp. 179-180).

Negative magnitudes are another instance of contrariety.

“This is not the sense of contradiction throughout the Logic, but it gives us enough background… to appreciate that Hegel is neither a lunatic for saying that ‘everything is contradictory’, nor a mystical Heraclitean” (p. 180).

Pippin devotes nearly half of this chapter to critical remarks about Brandom’s interpretation of Hegelian negation as material incompatibility, which involves a more nuanced form of contrariety. He says Brandom’s reading very well captures the meaning of negation in Hegel’s logic of being, but is inadequate for what Hegel goes on to do in the logic of essence and the logic of the concept. For example, material incompatibility alone is insufficient to explain things like the “self-legislation” of the concept or the idea of the good, but Hegel at least claims that these have something to do with the concept of negation.

Brandom’s interpretation of Hegelian negation seemed to me incomparably clearer than Hegel himself, so until now I have adopted it enthusiastically as a charitable rendering of what Hegel ought to have said to better express his meaning. This is the first of many counter-arguments to Brandom I have seen that really seems to me to at least raise a serious question, but for now I will forego another lengthy tangent.

Next in this series: Deeper Truth

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?.)