Tag: Logic

A Logic of Being?

We’ve reached part 2 of Robert Pippin’s important Hegel’s Realm of Shadows. Despite recently mentioned peripheral caveats, I’m enormously impressed with the way he makes sense of Hegel’s Science of Logic, possibly the most difficult philosophical work ever written.

He now begins a high-level survey of the three separate “logics” Hegel develops. It is essential to Hegel’s scheme that the first two will be regarded as failures in the explanation of what is involved in making things intelligible. For Hegel, failures of thought play an essential, irreducible role in the attainment of new insights. The perspectives achieved by thought are not “refuted” by other perspectives external to those achieved; instead, the achieved perspectives metaphorically “discover” their own inability to solve their own problems.

We’ve already seen the first move of the first of these failed accounts of what it is to be intelligible, the logic of being.

Hegel uses the further development of this account as a vehicle for discussing the Kantian categories of quantity and quality. If his first point was that being qua being is utterly sterile because intelligibility depends on the ability to make definite determinations, the elaboration begins to show the relational character of all determination, and at the same time the failure of any simple assertion of properties of things (“judgment”, in the severely truncated early modern form that reduces it to predication) to adequately make those things intelligible.

Pippin does not go into detail on Hegel’s lengthy discussion of quantity and quality, so for instance there is no more mention of the issue about good and bad infinity, though this is where Hegel treats it. Pippin reserves the most space for the final logic of the concept that is supposed to be successful, and gives the least to the logic of being, which according to Hegel is the least adequate.

In discussing the logic of being, Pippin is mainly concerned to extract takeaway points relevant to understanding the high-level “movement” of Hegel’s logic as a whole. I have been highlighting his suggestion that this notorious “logical motion” is teleological in a genuinely Aristotelian sense, rather than being either deductive, or somehow univocally driven forward by contradiction. It is all oriented toward the merely hypothetical necessity of what is required if we aim to reach a deeper truth. Pippin is at pains to point out that for Hegel as for Aristotle, every teleological actualization involves contingency.

“The idea is to begin with the thought of anything at all, in its immediate indeterminacy, simply being, Sein. But the thought of anything at all is not the thought of anything…. Nothing is excluded, so nothing is included…. It is a failed thought, not the thought of this failure or even just the enactment of the failure. This is the beginning of everything of significance in the Logic; it (the thought of Sein being nothing other than Nichts [nothing]) is the reflective relation to what is being thought that is inseparable from anything possibly being thought. It is thought’s apperceptive moment…. Just thereby, thinking is thinking its failure to be thinking, not thinking of a strange object, Nichts. It is only in this sense that the first moment has a second moment, a realization of what thinking must be to be thinking of anything” (p. 186).

“Such a reflective determination reveals both that such putative immediate indeterminacy must itself already be a determination, and that such a putative content, anything at all in its immediate indeterminacy, has not been transformed, has not ‘become’ Nichts, but that it always already was” (p. 187).

“Hegel here is doing something like making a case for, or at least in some way showing us, the apperceptively discursive nature of any possible discursive intelligibility. This also means that in judging anything, I am always also implicitly holding open the possibility of the self-correcting of judging…. Or, any judgment always implicitly applies, is implicitly applying, the concept of judgment to itself” (p. 189).

That apperceptive judgment always implicitly applies the concept of judgment to itself follows from its apperceptive, reflective nature. To be apperceptively reflective is to be self-referential, Pippin has been saying.

“As Kant insisted, in any such case I must be able to ‘stand above’ what I judged and what I now judge correctly and take the latter to be a correction of the former in order for it to be that, a correction. Otherwise, there is just a succession of episodes. This is why he could say that the understanding, the power of claiming, is the synthetic unity of apperception (in the same way, I am ultimately claiming in this book, Hegel is claiming that what he calls the concept is the synthetic unity of apperception)” (ibid).

“This also means, as we have been stressing, that given certain concepts of the power of knowing — say, a knowing that must be indeterminate and immediate, a ‘resolve’ to begin with such a notion — we already have thereby the concept of the object of such pure knowing, Being. If we are talking about a case of knowing, as we are, the two are, must be, inseparable…. There is no question, here or anywhere in the Logic, of the need to ‘move’ from the order of knowing to the order of being. If that were claimed to be necessary, how would we have begun with a case of knowing?” (pp. 189-190).

This intimate connection between the form of knowing and the object of knowing is Hegel’s alternative to the difficult “transcendental deduction” by which Kant in the Critique of Pure Reason aims to establish that the categories of thought really are relevant to experience. Pippin suggests that Hegel generally reinterprets Kantian dualities as cases of Aristotelian hylomorphism, and notes that even Kant occasionally makes remarks tending in this direction. In this particular case, reinterpreting the duality as a hylomorphism eliminates the “gap” between thought and being that in Kant creates the need for the transcendental deduction.

I confess, though, that it was not obvious to me that we had begun with a case of knowing. I have trouble identifying any kind of failed thought or thought that fails to have a content with knowing; I am not used to recognizing the possibility of an empty “knowing”.

But we are at least implicitly talking about an instance of thought here, even if it is a degenerate instance. Pippin is arguing that even that failed, empty thought must still be self-referential, just in being a case of thought in Hegel’s sense at all. By virtue of its form as thought or apperceptive judgment, it is already reflectively turned back on itself. I think Pippin is suggesting that that turning back on itself counts as a kind of knowing at the meta level, even though the thought failed at ground level.

“[T]here is no objection in Kant or among the relevant post-Kantians, in their denial that thinking is a kind of perceiving or primarily receptive, to the general form of such claims as ‘I know it because I saw it’, especially because that is the invitation to establishing that it can be seen by anyone…. But for thinking as such, there is nothing like: ‘I know that is the essence because I had an essence-intuition…'” (p. 190).

I am more reserved about claims like “I know it because I saw it”. Plato would not accept this as an instance of knowledge, and I am inclined to follow suit. I would say, “I believe it with confidence because I saw it”. But Pippin makes a good point here about the implicit invitation to treat this as the claim that it could be seen by anyone.

As I have noted before, what I prefer to call belief and others call a form of immediate, noninferential empirical “knowledge” are not just arbitrary assertions. Though we arrive at such beliefs “spontaneously” (in the ordinary sense, which is nearly the inverse of the Kantian sense), after the fact it is always possible to ask about the reasons for them.

I am claiming that after the fact, it should always be possible to express something of why we believe what we do. “Because I saw it” is not a reason, but a reiteration that it appeared that way to me. Intrinsically, it has no more value than “because I said so”. The kind of reasons that can be provided in this case will be persuasive (or, in Aristotle’s usage, “probable”) to some degree or other, but also potentially refutable. Typically they will take the form of more detailed claims about what we saw.

“Fichte insists on the same point that is made in the first move in the Logic… by pointing out the difference logically between ‘A’ and ‘A = A’. For the latter, we need… an ‘I’ that is ‘= I’…. But this identification is something done, a Tat [deed], the equivalent here of ‘bringing contents to the unity of apperception’ in Kant’s account, an active unifying necessary for the I to be continuously that I in experience” (p. 191).

As Aristotle pointed out, merely saying something (“A”, “Being”, or whatever) is not yet saying something about something, which turns out to be the minimal condition for truth or falsity. This formulation points to some kind of self-relatedness in the attitude toward content that seems to be a minimal condition for any kind of assertion. This self-relatedness in the content of assertions seems to be related to the inherent self-referentiality of thought for which Pippin is arguing, as if the one were a sort of hylomorphic reflection of the other.

I used to misunderstand the above argument of Fichte as additionally requiring the existence of an “I” like a rabbit out of a hat, but again we are only dealing with hypothetical necessity here. If I want to be able to conclude “A = A”, then I need to be able to apply the same identification “A” twice within the context of one judgment. That the two identifications of “A” must be combined within the context of one judgment is the sole import of Fichte’s “I = I”. If there is any existence of an I involved here, it is by hypothesis.

Pippin stresses that although Hegel speaks of logical “movement” in temporal metaphors, each part of the “movement” has always already occurred. Once again, Hegel is not talking about what drives the course of events, but something like the conditions of possibility of the constitution of intelligibility and normativity.

He goes on to discuss more problems related to immediacy, and the transition to the logic of essence, each of which I’ll address separately.

Deeper Truth

Hegel’s Logic, it now seems to me, is an exploration of what contemporary philosophers call the space of reasons, with the practical aim of eliciting and exhibiting what it is to move toward deeper truth.

He wants to focus our attention on how reasoning and judgment are transformed as they move toward deeper truth. He wants to say that the deeper meaning of truth is the movement toward deeper truth.

For Hegel, reason attains to deeper truth mainly by experiencing failure of the truth that it thought it had. Such failure has nothing to do with being “vanquished” by an opposing view.

Brandom argues that we can understand such failure in terms of the unsettling of beliefs about how things are in the world, by some unaccounted-for difference or new evidence in ordinary experience.

Pippin argues that the Logic aims at something hugely more ambitious — still not some master key to the explanation of things or events in the world, but an account of the forms of the movement of reason toward deeper truth that ought to be applicable to any thinkable thinking being.

The way that Pippin is arguing Hegel combines Kant and Aristotle I find tremendously exciting. For now I’m reserving judgment on his apparent claim that the movement Hegel describes succeeds in being unconditionally universal.

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.

Apperceptive Judgment

What Hegel calls “the concept” is not a simple content to be grasped, as if it were already completely formed as what it will turn out to be, and all of that in advance of and independent of the activity of judgment. Rather, it emerges out of the activity of judgment in the space of reasons. It also turns out to have an inherently normative character.

Pippin quotes Kant: “I find that a judgment is nothing other than the way to bring given cognitions to the objective unity of apperception…. I do not mean to say that these representations necessarily belong to one another in the empirical intuition, but rather that they belong to one another in virtue of the necessary unity of the apperception in the synthesis of intuitions” (Hegel’s Realm of Shadows, p. 102).

As a first approximation, “apperception” here means something like apprehension of intelligible meaning. For Kant, “the basic feature” of the “general or content-less logic as rules for valid judgings and inferrings” is that “judging is apperceptive” (p. 103).

The significance of this will become a bit clearer further below. Hegel will go further than Kant in construing apperception in a purely “logical” (as opposed to psychological) way.

“Kant was well aware that with this notion of apperceptive judging he was breaking with the rationalist (and Lockean) notion of reflection as inner perception, and as we shall see, Hegel’s language is everywhere carefully Kantian in this respect” (p. 112).

(Aristotle too carefully distinguishes thought from inner sense, rather than identifying them as Descartes and Locke do.)

Pippin quotes Hegel: “It is one of the profoundest and truest insights to be found in the Critique of Pure Reason that the unity which constitutes the essence of the concept is recognized as the original synthetic unity of apperception, the unity of the ‘I think’, or of self-consciousness” (ibid).

This suggests a three-way mutual explication of the essence of the concept, unity of apperception, and self-consciousness. Self-consciousness for Hegel turns out to be not a separate substantive “subject” distinct from its “object”, but rather an essential adverbial property of self-reference that is intrinsic to the thinking of every concept (see The Ambiguity of “Self”).

From Hegel’s perspective “it is quite misleading for Kant to formulate the point by saying that the ‘I think’ must ‘accompany’ (begleiten) all my representations…. Representing objects is not representing objects, a claiming to be so, unless apperceptive…. And that has to mean, in a very peculiar sense that is important to Hegel and that will take some time to unpack, that such judgings are necessarily and inherently reflexive, and so at the very least are self-referential, even if such a reflected content is not substantive, does not refer to a subject’s focusing on her judging activity as if it were a second consciousness…. Virtually everything in the Logic of significance descends in one way or another from the proper understanding of this claim” (ibid).

Judgings as activities are “necessarily and inherently… self-referential”. The suggestion seems to be that apperception and self-consciousness consist in complex self-referential judgings, rather than anything resembling perceptive receptivity or simple consciousness. “Reflexivity” for Hegel is an elemental property of judgments as judgments, not a global property of consciousness. To assert the inherent self-referentiality of judging activity is quite different from asserting the sort of inherent reflexivity of consciousness that Descartes and Locke presuppose.

“[W]e have to be clear that this has nothing to do with inner perception or the mind observing itself” (p. 105).

“There must be some way of saying that the self-conscious dimension of thought and action is a matter of the way a claim is made or an action undertaken. To adopt the formulations used by Ryle in accounting for many similar phenomena, they are accomplished ‘self-consciously’, rather than accompanied by or even identical with another act of consciousness” (p. 106).

“There is a self-referential component in any judgment or action too (‘I think this, I act thus’), but it can be misleading to think that this is the same problem as ‘how does the first-person pronoun have sense, and thereby pick me uniquely out’. As we shall see, it is misleading because it suggests a punctuated moment of awareness” (p. 107).

“Finally, there is little doubt that Hegel realized that apperception was not a kind of consciousness” (ibid).

In support of this he quotes Hegel: “[I]n this original deed there is not yet the representation of the ‘I’…. [T]his objectifying deed, liberated from the opposition of consciousness [between subject and object], is closer to what may be taken simply as thinking as such. But this deed should no longer be called consciousness; for consciousness holds within itself the opposition of the ‘I’ and its intended object which is not to be found in that original deed” (ibid).

It seems to me that apperception thus implicitly becomes the middle term of a syllogism: self-consciousness is apperception; apperception is not a kind of consciousness; therefore (contrary to what the formation of the word suggests) self-consciousness is not a kind of consciousness, but something “else”.

I take consciousness to be a form of presentation in what Aristotle called imagination, and self-consciousness to be the form of the self-referential character of judgment or apperception. Outside the context of the Logic (e.g., in the Phenomenology), self-consciousness has an inherently social or intersubjective dimension; in both the Phenomenology and the Logic it has a normative dimension. Human as opposed to purely animal experience is always a mixture of “consciousness” and “self-consciousness”.

“I know what I am doing not by identifying myself with the one acting, but by being the one acting. So how can such a Two also be One? We are in the middle of everything of significance in Hegel’s Logic, not to mention Fichte’s Wissenschaftslehre and Schelling’s early idealism…. This unusual identity is constitutive of ‘theoretical thought’ as such” (pp. 108-109).

“This too is important to state carefully. Hegel scholars often assume that Hegel inherits ‘identity philosophy’ from Schelling, and that it means ‘the identity of subject and object’. They then formulate various implausible versions of such an identity, such as that true reality is divine thought thinking itself, that objects are moments of this thought’s ‘intellectual intuition of itself’. But the Logic is not committed to anything remotely like this” (p. 109).

Rather, the identity Hegel is principally interested in is that “the thought (belief, assertion) of some content… is at the same time the thought of the reasons that are required for such an ‘answer'” (p. 110, emphasis added). This what it means to say that thought is inherently self-referential.

This helps to explain why it is true that “It is a condition of use of a concept that the use is subject to a norm of correct and incorrect use, and that norm is internal to the concept…. Such capacities as judgment and self-consciousness are called into play in a way that can be redeemed if challenged, for example” (p. 106).

Pippin elaborates, “being committed to the truth of a proposition, I am just thereby committed to the denial of everything inconsistent with it. The latter is not a separate inference I draw, on the basis of my first commitment. It is a dimension of the content of my first commitment. This is not to say I must be conscious of these implications and incompatibilities, but just that I could not be thinking of that content were I not able to be responsive to such considerations. This is all so just as someone’s believing something and her thought that it is something right to believe ‘are the same reality‘” (p. 112).

The idea that a proposition should be identified with the distinctions and entailments that it presupposes and that follow from it — rather than with a simple Boolean value of true or false, as in mainstream 20th century logic — has been developed with extraordinary thoroughness by Robert Brandom in Making It Explicit, which Richard Rorty credited with ushering in a new “Hegelian” stage of analytic philosophy.

“[N]o one could be said to ‘just’ assert, or just believe, or just act. Any such undertaking, if self-conscious, must be potentially responsive to the question of ‘Why?’; that is, to reasons. (An assertion is such a responsiveness; the latter is not a secondary or even distinct dimension of the former.)” (ibid).

This formulation that an assertion is such a responsiveness — which relies on the essential self-referentiality of judgment that Pippin is arguing for here — seems in a way more radical than the way Brandom puts it. For Brandom and Brandom’s Hegel, the concomittant commitments are material inferences, and there is a sort of Kantian imperative that we ought to show such responsiveness to everything with a material-inferential connection to our assertions. According to Pippin’s Hegel, the concommitant commitments are not inferences at all but integral to the true identity of the assertion, and we would not really have made an assertion at all if we did not show responsiveness to them. But they ultimately agree that we ought to show such responsiveness — that addressing the concomittant commitments of our assertions is not something we could legitimately choose to ignore — and that this has something to do with the very nature of assertion-making.

“And it is at least plausible to say that the greater the extent of such potential responsiveness (or said another way, the greater the self-understanding), the ‘freer’ the activity, the more I can be said to redeem the action as genuinely mine, back it, stand behind it. We thus have formulated what [Sebastian] Rödl rightly identifies as the heart of German Idealism, the principle ‘that self-consciousness, freedom and reason are one'” (pp. 113-114).

Statements like “self-consciousness, freedom and reason are one” used to give me no end of trouble, because I assumed they were meant to assert the sovereignty of a Subject (i.e., in this case that the Subject is self-conscious; the Subject has free will; and the Subject is the seat of reason). What I eventually realized through the closer study of Kant and Hegel is that I was assuming dictionary meanings of self-consciousness and freedom that are not applicable, and that Hegel and even Kant are much less “subject-centered” than common readings make them out to be. A strong concern for subjectivity need not be identified with the assumption of a sovereign Subject.

Because what Hegel means by “concept” is so fundamental to understanding the Logic and so far from the way it is commonly understood, Pippin repeats an earlier message in different words:

“[C]oncepts are determinate only by virtue of their roles in judgment, the ‘bringing to the objective unity of apperception’, in Kant’s definition” (p. 115).

“So a concept like ‘essence’, for example, can be said to be delimitable as just that concept by virtue of its possible uses in various contrasts to ‘appearance’ or by virtue of its negation (in the grand structure of the [Science of Logic]) of the concept ‘being’, or its role in distinguishing accidental from essential predicates. These are all roles in judgments (and are thereby tied to judgmental roles in inferences). Any of these uses, though, involves any such claim in a network of justifications, a normative order. The application of any such concept in judgment, since apperceptive, self-consciously applied, must be, just thereby, responsive to its possible misapplication, and the question of the general contours of its correct use implicates any one notion in the normative proprieties governing many others. Hence, as we shall see, the course of the ‘movement’ of the logic” (ibid).

“A proper understanding of the self’s relation to itself in thinking, the form of any conceiving and thereby any concept, and thereby any inferential relation, is also the core meaning of what Hegel calls the ‘infinity’ treated by speculative philosophy” (p. 118).

“This is yet again not an easy thought: some sort of self-relation that is not a two-place relation, but something like a circular structure, in which the self’s self-relation never terminates in a distinct object or determinate posit, but in so attending, returns to itself as a relating…. This is ‘infinity’ in the proper sense, Hegel tells us frequently, and… ‘Self-consciousness is thus the nearest example of the presence of infinity'” (p. 119).

My current impression is that what Hegel calls the “good” infinite has something to do with what I would tentatively call relational structures with cyclic dependencies, and he thinks we can and do implicitly use something like this in life, without getting stuck in what could be a mathematically infinite cyclic traversal of the structure. (That something like this is at least conceivable is anecdotally supported by the existence of computable and hence in that sense “finite” implementations of infinitely extensible data structures.) The more usual notion of infinity — at root mathematical, a paradoxical “value greater than any definite value” — Hegel derides as “bad” infinity, regardless of whether it is potential or actual (which was a key distinction for Aristotle). (See Hegel on Reflection for a somewhat better account of this issue.)

Hegel in effect seems to ask us to suspend the assumption that standard mathematical infinity is what infinity is, and to step back to the more general idea of the non-definite. Further, he identifies the contrasting term of finitude specifically with a non-relational view of things, as being whatever they are even in complete isolation from one another, so his condemnations of finitude are not at all condemnations of the view of things as finite in the sense of depending on other things. Pippin earlier even suggested that some kind of notion of things depending on other things for their intelligibility is the main source of the famous and difficult-to-understand “motion” in Hegelian logic.

“Discriminating what belongs together with what, what is connected to what in a temporal order, knowing that the successive perceptions of a house do not count as the perception of a succession in the world, requires an apperceptive unity; it does not just happen to consciousness” (p. 121).

“Without this ability to distinguish how things are from how they seem to me, there would be as many ‘I’s’ as associated seemings, and no unity of self-consciousness. Or, achieving the unity of self-consciousness is differentiating seeming from being” (p. 122).

Pippin returns to his larger argument about the Kantian basis of what Hegel is doing.

“The attempt has been to understand the Kantian claim about apperception as a logical, not psychological claim, and this goes some way toward understanding the link between this reflexive character of judging as the essence of intelligibility and ‘the intelligibles’. If it is possible to establish that certain a priori judgments have… objectivity, but without Kant’s limitation thesis, restricting that thesis to possible objects of sense experience (phenomena, not noumena), we will have a way into Hegel’s claim that logic can be understood as metaphysics. Our claim about Kant was that even for him, this relation to objects is not established by the imposition of subjective form onto received sensory material. Kant’s position is not ‘impositionist’ in this sense, and both he and Hegel are following the nonimpositionist, more Aristotelian (hylomorphic) line” (p. 125).

He includes several more quotes from Kant and one from Beatrice Longuenesse that offer hints in this more Aristotelian direction, then says, “We need only remember that for Hegel this is the core of Kant’s own position once we give up any notion of separable contributions from sensibility and understanding, and give up referring to pure forms of intuition as species-specific…. If we do, we get the careful statements about the identity within difference of concept and being in and for itself with which we began” (p. 126).

He returns to the more basic point that “There is no indication that Hegel thinks that being or God has an apperceptive discursive intellect and that we are manifestations of it. We are manifestations of the finitude of Verstand [understanding] and the possibility inherent in Verstand of the transcendence of such self-imposed finitude” (ibid).

In referring to “self-imposed” finitude, I think Pippin means the viewing of concepts as independent, isolated objects or fixed representations, rather than as pure moments in the traversal of the relational network of the space of reasons.

“[W]e need a kind of stereoscopic vision to keep in mind two aspects of this issue that Hegel keeps stressing…. The first is that conceiving is an activity and concepts are ‘moments’ of this activity. This is something stressed in a different way when Hegel tells us that concepts are not things, objects. The second is that… such activities are not actions, doings, and that Kant’s position, when properly understood (and so not as Kant understood it), should not be taken as a part of a two-step or impositionist account of such activity” (p. 127).

That activity is not reducible to punctual actions is a thesis I have been pursuing in an Aristotelian context.

“Hegel says that (Kant’s) objective or transcendental logic ‘replaces’… general metaphysics or ontology. Logic so construed also takes account of and replaces special metaphysics, the a priori doctrines of the soul, the world, and God” (p. 128).

Once again, Hegel’s “logical” alternative to rationalist metaphysics and psychology does not presuppose any fixed concepts. Pippin returns to this to avoid misunderstanding, because he has been emphasizing the non-psychological character of apperceptive judgment for Hegel.

“If we think, as some do, of Hegel’s Denkbestimmungen [thought determinations] as something like Fregean thoughts, objective in a Platonic sense, as abstract entities, then what I am quoting [to the effect that the “objective” part of Hegel’s logic is the true critique of such determinations] is very puzzling. Hegel certainly knows that Kant’s transcendental logic is in some sense or other a logic of subjectivity” (p. 129).

The distinction that is beginning to be made explicit here is between subjectivity in general and specifically psychological subjectivity. This will allow Hegel to develop a “subjective” logic that has nothing to do with psychology.

By analogy, Pippin notes that “Frege interpreters argue that there is no reason to go as far as the historical Frege did (a form of Platonism) to differentiate objective thought from mental episodes, private associations, etc.” (ibid).

“In a claim we shall have to return to and investigate, [Hegel] repeats often that the true critical question is not whether subjective forms of thought have any objective purchase, but whether the concepts of a logic ‘in and for themselves’ provide what they are supposed to provide: what is required for successful conceptual determination…. Kant did not sufficiently investigate what these pure concepts are; he did not pursue the question of their ‘nature’ and their very possibility” (p. 130).

Broadly speaking, the answer will be that concepts are not Platonic forms but get their meaning from their uses, as normatively evaluated in the space of reasons.

“Commentators are sometimes so eager to observe the spirit of this sort of critique of Kantian ‘subjectivism’ that they assume that the Logic is something like the ‘pure’ manifestation of the objective dependence and implication relations among ‘pure essentialities’, thoughts in the objective sense, logical entities that are in those relations in ways that have nothing to do with anyone ‘thinking them'” (p. 131).

The delicate point here is that we can take the activity of thinking into account by treating it as its own “subject”, rather than attributing it to a separate Subject.

“But the apperceptive or inherently reflexive determination of conceptual content… is no more external than the ‘I think’ is external to a content thought. Judgment and the consciousness of judgment are one act. No content represents anything except as thought/judged” (ibid).

Recalling the syllogism I constructed above from Hegel’s statements — which concluded that what he calls self-consciousness is not a kind of consciousness — I think Pippin should have said “self-consciousness” rather than “consciousness” in the above. “Self-consciousness” for Hegel is normative and non-psychological. What he calls “consciousness” (the aspect of immediacy and of presentation in the form of objects) does have a psychological character. In real life, we encounter mixtures of the two.

“The movement of pure thought is like the movement in a proof, on the assumption that the moves are inferences a thinker, on pain of contradiction, must make, and not merely formal-structural functions, as in a symbolic logic” (p. 132).

A proof involves not just a sequence of propositions but a sequence of judgments or assertions. Frege explained this difference in terms of an additional dimension of “assertoric force” alongside his Platonic view of concepts and propositions. For Pippin and Brandom, the consideration of assertoric force is where normativity enters into logic.

“[I]t is also question-begging to assume that anyone who makes the assertoric force inseparable from the logical structure of a unit of meaning (as Hegel unquestionably does) is thereby guilty of psychologism, or of relying on some ‘experiential’ standard of adequacy. Even Frege was willing to make the question of assertoric force a part of ‘logic’ in his own terms” (ibid).

Hegel takes assertoric force into account by treating it normatively rather than psychologically. Meanwhile, the movement of judging activity that is the bearer of Hegel’s notion of truth must also be distinct from the mere inspection of logical structure.

“[O]bjects moving about [in Hegel’s Logic]… is a mystification. At any rate, I have no idea what it would be to ‘observe’ one thought-object developing into another. (We don’t observe what happens when one step in a proof ‘becomes’ another; the inference has to be drawn, and drawn for a reason.) Such an objectivism makes it almost impossible to understand what Hegel calls the Logic‘s inner ‘drive’…, and it especially does not take account of the claim that conceptual form is itself apperceptive, that ‘the truth is self-consciousness’ (pp. 133-134).

“Essentialities do not move or establish relations with other essentialities…. A proposition cannot be the bearer of truth, does not even represent any state of affairs, except as judged, and therewith the identity of the acts of thinking involve[s] a wide variety of other commitments at the same time…. (I mean such things as being committed to the denial of all judgments inconsistent with the one that one asserts as true, and this not as a second act of thought.) By contrast, the basic unit of intelligibility for Hegel is not an internally complex object, even if in relations with other objects, but as he says in many ways and many different times, a result, the accomplishment of the ‘active universal’, which activity is judging…. The mode of logical connection is inseparable from the mode of connecting. They are co-constituting” (pp. 134-135).

Objective “thoughts” in Hegel’s sense are not just pure Platonic essentialities but judgments that have a shareable meaning and that inherently invite normative evaluation.

“Said another way, a strong way of insisting that Hegel’s new ‘metaphysics’ is a logic, none of this has anything to do with what anything is made of, consists in, with the furniture of the universe. What we want to know… about these concepts is their ‘logic’, how they function with account-givings governed by the norms of explanatory satisfactoriness and truth” (p. 137).

“This means that any concept of thinking and of the content of thought involves normative proprieties, exclusions, and implications, without which any thinking a thought could not be the thinking and the thought that it is. These normative commitments are independent of what a thinker might herself be able to acknowledge, but they cannot be denied on being noticed, on pain of incoherence, of not thinking anything at all” (ibid).

Thus apperception — or what we might call “pure” as opposed to empirical subjectivity, which need not be tied to an assumed separate Subject, but only to some judging activity — for Hegel is purely “logical” (having to do with the determination of meaning). It is independent of anything psychological, and at the same time it is inherently normative.

Hegel’s Union of Kant and Aristotle

Aristotle gets more pages in Hegel’s History of Philosophy than anyone else, and Kant gets the second most. This post will show that that is no accident.

Where I left off in Pippin’s account of Hegel’s Logic, he was still discussing the meaning of Hegel’s claim that now “logic” could take the place of metaphysics.

The idea of a “gap” between thinking and being, with the consequent need for an extensive inference to show that the rational categories of thought are after all applicable to being, had been a major theme of Kant’s Critique of Pure Reason. Hegel ambitiously wants to eliminate that gap, while at the same time preserving and extending Kant’s critique of dogmatism. At first glance this might seem impossible, but as I see it, Hegel’s strategy consists of two moves.

First, Pippin has been arguing that a major theme of Hegel’s Logic is an alternative showing of the applicability of something analogous to the Kantian categories. Hegel’s alternative is inspired by Aristotle’s non-psychological view of the content of thought as shareable rational meaning. From this point of view, there is a no discernible difference (and therefore a strict and literal identity) between a thought and that of which it is the thought. Thought in Aristotle is unaffected by the modern distinction of subject and object in consciousness. This is intimately related to Aristotle’s ambivalence on whether or not thought belongs to a part of the soul.

“As with Aristotle, [the] link between the order of thinking (knowing, judging to be the case) and the order of being is not an inference, does not face a gap that must be closed by an inference. Properly understood, the relation is one of identity” (Hegel’s Realm of Shadows, p. 60).

The other, complementary part of Hegel’s strategy uses his critique of representation to express the Kantian problem of dogmatism in a different way. For Kant, dogmatism consists in ignoring or leaping over the gap between thinking and being. For Hegel, there is no such gap. Dogmatism consists in adhering to fixed representations and disregarding the real fluidity and liveliness of both thought and being.

Alongside this strategy for dealing with Kantian issues, Hegel revives Aristotle’s ideal of normative, teleological explanation of overall processes of actualization, and of the subordination of explanation by the efficient causes that serve as particular means of actualization (see Aristotle on Explanation). For Hegel as for Aristotle, intelligibility and explanation first and foremost involve a rational “ought”, and other forms of explanation are subordinate to that.

Pippin quotes John McDowell’s contemporary distinction between explanation by rational “ought” and by empirical regularity. McDowell refers to “explanations in which things are made intelligible by being revealed to be, or to approximate to being, as they rationally ought to be. This is to be contrasted with a style of explanation in which one makes things intelligible by representing their coming into being as a particular instance of how things generally tend to happen” (p. 61).

Pippin says that for both Kant and Hegel, logic “states the conditions of possible sense, the distinctions and relations without which sense would not be possible” (ibid). Here he is implicitly recalling Frege’s distinction between sense and reference, and making the point that Kant, Hegel, and Aristotle all see meaning mainly in terms of sense rather than reference. “The Logic is never said to seek a determination of what is ‘really’ real, and in a way like Kant, it also concerns the determination of the possibility, the real possibility, of anything being what it is. Hegel calls this Wirklichkeit, actuality, and distinguishes it often from questions about existence” (p. 62).

Possible sense construes real possibility in terms of explanation by a rational “ought”. Logical concepts for Hegel always embody a context-sensitive rational “ought”, rather than a direct simple determination of what exists. For example, “for Hegel to claim that ‘Life’ is a logical concept is to say not that there could not be a world that did not have living beings in it, but that if there is a world at all, the denial that there is any distinction between mechanically explicable and organically unified beings is self-contradictory” (ibid).

Such a contradiction is something we ought to avoid. The overcoming of contradictions in Hegel is a matter of teleological actualization that may or may not occur. Contrary to old stereotypes, no formal or causal determinism is involved. The overcoming of contradictions is in fact intimately connected with the motif of freedom. Kant and Fichte struggled to articulate a very strong notion of practical freedom that did not depend on a one-sided notion of free will. Hegel makes the explanation of freedom much easier by explicitly adopting the Aristotelian priority of explanation by ends and oughts. For him as for Aristotle, the realization of ends and oughts at the level of factual existence is contingent, and involves multiple possibilities. For him as for Aristotle, being has to do primarily with sense and intelligibility rather than brute factual existence.

“So what Hegel means by saying logic is metaphysics, or that being in and for itself is the concept, can be put this way. Once we understand the role of, say, essence and appearance as necessary for judging objectively, we have thereby made sense of essences and appearances, and therewith, the world in which they are indispensable…. In making sense of this way of sense-making, its presuppositions and implications, we are making sense of what there is, the only sense anything could make” (pp. 63-64).

“The actual Kantian statement of this identity is the highest principle of synthetic judgments, and it invokes the same thought: that the conditions for the possibility of experience are at the same time the conditions for the possibility of objects of experience” (p. 64).

Pippin quotes from Adrian Moore: “To make sense of things at the highest level of generality… is to make sense of things in terms of what it is to make sense of things” (p. 65).

He notes similarities and differences between his and Robert Brandom’s approach to Hegel.

On the one hand, Brandom agrees that the job of distinctively logical concepts is “not to make explicit how the world is (to subserve a function of consciousness) but rather to make explicit the process of making explicit how the world is (to enable and embody a kind of self-consciousness)” (quoted, p. 66).

On the other, Brandom sees the making explicit of the process of making explicit entirely in retrospective terms, whereas Pippin argues that Hegel in the Logic takes a more Kantian, prospective approach. Pippin calls Brandom’s retrospective approach “empirical” because it relies on retrospective insight into concrete occasions of making things explicit.

Elsewhere, Pippin had previously criticized Brandom’s emphasis on “semantic descent” in interpreting Hegel’s Phenomenology. Brandom himself introduces semantic descent in the following terms: “I believe the best way to understand what [Kant and Hegel] are saying about their preferred topic of concepts operating in a pure, still stratosphere above the busy jostling and haggling of street-level judging and doing is precisely to focus on what those metaconcepts let us say about what is going on below…. If the point of the higher-level concepts is to articulate the use and content of lower-level ones, then the cash value of an account of categorical metaconcepts is what it has to teach us about ordinary ground-level empirical and practical concepts” (A Spirit of Trust, pp. 5-6).

While I don’t care for the rhetoric of “cash value”, which to my ear sounds too reductive in the context of normative sense-making, the idea that meta-level considerations get their relevance from what they teach us about ordinary life seems fundamentally right to me, and of great importance. Moreover, this is clearly presented by Brandom as his interpretive strategy, which he points out is quite different from the way Kant and Hegel usually talk. Brandom’s reading of Hegel is also mainly focused on the Phenomenology; he doesn’t have much to say specifically about the Logic.

The idea of a retrospective reading of the Phenomenology is encouraged by Hegel himself, and there I think it is fair to say that Hegel’s own method is retrospective. On the other hand, I think the text of the Logic clearly supports Pippin’s claim that it takes a more prospective approach, closer to that of a Kantian a priori investigation. This still does not conflict with the suggestion that its ultimate value lies in what its high concepts have to teach us about living our own lives.

“[W]hatever the connections are in the [Science of Logic], they are clearly not truth-functional or deductive. As suggested, they have something to do with the demonstration of dependence relations necessary for conceptual determinacy” (Hegel’s Realm of Shadows, p. 70).

For Hegel, “concepts can be determinately specified only by their role in judgments, the determinacy of which depends on their roles as premises and conclusions…. And he never tires of noting that the standard subject-predicate logical form is finally inadequate for the expression of ‘speculative truth’…. The basic possibility of sense depends on an act, an act of rendering intelligible or judging” (pp. 71-72).

“In the traditional reading of Kant, it would appear that Kant wants to introduce a step here, as if skeptical about why ‘our’ ways of sorting things should have anything to do with ‘sortal realism’ in the world…. In this picture, there must ‘first’ be sensible receptivity (according to ‘our’ distinct, nonconceptual pure forms of intuition), and ‘then’ there is conceptual articulation/synthesis, which is possible because of the imposition of categorical form” (pp. 73-74).

According to Pippin, Hegel denies this two-step picture, though he “fully realizes the extreme difficulties in stating properly the dual claims of distinguishability and inseparability” of concept and intuition” (p. 75).

“Hegel clearly wants a way of understanding the mutual dependence of each on the other that involves an ‘identity’ even ‘within difference’. In other words, he came to see that the concept-intuition relation was at its heart a logical or conceptual problem, what he would variously call the problem of (how there could be such a thing as) ‘mediated immediacy’, or the inescapably reciprocal and correlated functions of identifying and differentiating. For another, in any apperceptive determination of content, a relation to content has to be understood as a modality of a self-relation….This gets quite complicated because such an apperceptive awareness in the case of perceptual experience… must be distinguished from apperceptive judging…. Neither Kant nor Hegel believes that experience itself consists in judgments” (ibid).

What Pippin here calls apperceptive awareness in the case of perception as distinct from judgment belongs in the same general territory as the “passive synthesis” discussed by Husserl.

“Failing to observe the ‘norms of thinking’ is not… making an error in thinking; it is not thinking at all, not making any sense. The prospect of objects ‘outside’ something like the limits of the thinkable is a nonthought…. But just because it is unthinkable, the strict distinction between a prior, content-free general logic and an a priori transcendental logic, the forms of possible thoughts about objects, can hardly be as hard and fast as Kant wants to make it out to be. Or, put another way, it is an artificial distinction…. For one thing, … the distinction depends on a quite contestable strict separation between the spontaneity of thought (as providing formal unity) and the deliverances of sensibility in experience (as the sole ‘provider of content’). If that is not sustainable, and there is reason to think that even Kant did not hold it to be a matter of strict separability, then the distinction between the forms of thought and the forms of the thought of objects cannot also be a matter of strict separability” (p. 76).

“‘To be is to be intelligible: the founding principle of Greek metaphysics and of philosophy itself…. [T]he formula ‘to be is to be intelligible’ is not, as it might sound, some sort of manifesto, as if willfully ‘banning’ the unknowable from ‘the real’…. ‘What there is is what is knowable’ is an implication of what knowing — all and any knowing — is if it is to be knowing. It is not a first-order claim about all being, as if it could prompt the question: How do we know that all of being is knowable? That is not a coherent question. There may be things we will never know, but that is not to say they are in principle unknowable” (p. 77).

“So those ‘two aspect’ interpretations of Kant’s idealism and his doctrine of the unknowability of things in themselves, those claiming that knowing ‘for us’ is restricted to ‘our epistemic conditions’, leaving it open for us to speculate about what might be knowable but transcends our powers of knowing, cannot be right. The position is internally incoherent. There is no ‘our’ that can be put in front of ‘epistemic conditions’. They would not then be epistemic conditions; the account would not be philosophical but psychological” (ibid).

In place of the Kantian unknowability of things in themselves, Hegel puts the “liveliness” of real things that overflows any particular representation. For Hegel, dogmatism is a disregard for the overflowing character of real meaning and being.

“[I]f we… ask how we can know a priori about nature’s suitability for our cognitive ends…, we have again imported a kind of neo-Kantian version of Kant” (p. 78).

“Yet more care must be exercised here, lest readers get the wrong idea. To say that the forms of ‘thought’ are, must be, the form of objects of thought does not mean that any form of ‘mere thinking’ delineates some ontological realm — as if the forms of the thought of astrological influence are the forms of such influence in the world” (ibid).

“Thought” here clearly does not mean any arbitrary belief. It refers to possible knowledge. Hegel and Pippin are saying only that if and wherever true knowledge is indeed possible, corresponding knowledge of objects must be possible. “It would never occur to us, I assume, to entertain the thought that the form of some piece of empirical knowledge is not the form of the object of knowledge” (ibid).

Pippin points out “what amounts to a kind of operator in Hegel’s Logic on which all the crucial transitions depend, something like ‘would not be fully intelligible, would not be coherently thinkable without…’ What follows the ‘without’ is some more comprehensive concept, a different distinction, and so forth” (p. 79).

This means that Hegelian logic is not about the deduction of consequences from assumptions, but rather aims to be an assumption-free regressive movement from anything at all to a fuller view of the conditions for its intelligibility.

In the introduction to the Encyclopedia, Hegel “notes explicitly that what exists certainly exists contingently and ‘can just as well not be‘, and he refers us to the Logic for the right explication of what is ‘actual’ by contrast with what merely exists. He adds, ‘Who is not smart enough to be able to see around him quite a lot that is not, in fact, how it ought to be?’…. Yet despite Hegel’s waving this huge bright flag inscribed, ‘I believe in contingency!’ one still hears often (even from scholars of German philosophy) that his philosophy is an attempt to deduce the necessity of everything from the Prussian state to Herr Krug’s fountain pen” (p. 87).

Pippin thinks that actuality in Hegel is “congruent with what Kant meant by categoriality” (ibid). I don’t fully understand this particular claim about actuality, unless it is intended as a variant of the Philosophy of Right‘s famous formula about the actual and the rational, which itself makes good sense with a normative or teleological as opposed to factual notion of the actual. I would agree there seems to be a strong “Kantian categorical” component to Hegelian “logic” in general. Pippin agrees that actuality has a normative rather than factual character in both Aristotle and Hegel. However, the generally normative emphasis of Kant’s thought notwithstanding, at this point in my effort to understand Kant, his “deduction” of the categories seems to me to make the categories more like a kind of universal “facts”. I also think of the Aristotelian “ought” as primarily concrete, as when Aristotle says that practical judgment applies to particulars. Kantian normativity by contrast aims to be universal in an unqualified way, which is certainly closer to categoriality. So, there is a question whether Hegelian actuality inherits more from Aristotelian actuality or from Hegel’s incorporation of Kantian universalizing normativity.

If we were talking about Hegelian “concrete universals”, this might provide a basis for reconciling Aristotelian and Kantian perspectives on the “ought” involved in actuality. Do the Hegelian incarnations of Kantian categories in the Logic — called by Hegel a “realm of shadows” — qualify as concrete universals? At this point I am in doubt. I suspect Hegel might say that the concrete universal is reached only at the very end of his development. Maybe the ultimate bearer of categoriality and the place where it unites with actuality will be the “absolute” idea.

“What we know is what we know in exercising reason, what we know in judging” (p. 90). In the Encyclopedia Logic, “Hegel remarks that Kant himself, in formulating reason’s critique of itself, treats forms of cognition as objects of cognition…. He calls this feat ‘dialectic’. Mathematical construction in mathematical proof makes essentially the same point…. And most suggestively for the entire enterprise of the Logic, practical reason can determine the form of a rational will that is also itself a substantive content. The self-legislation of the moral law is not volitional anarchy but practical reason’s knowledge of ‘what’ to legislate. It ‘legislates’ in being practical reasoning about what ought to be done. It legislates because in knowing what ought to be done it is not affected by some object, ‘what is to be done’, about which it judges. It determines, produces, what is to be done. Said more simply, when one makes a promise, one legislates into existence a promise. One is bound only by binding oneself…. Being bound is the concept of being bound, applied to oneself” (ibid).

Pippin is suggesting we look for ethical meaning in Hegel’s logic.

“Thought’s self-determination in the course of the book makes no reference to the Absolute’s self-consciousness in order to explain anything…. Any thinking of a content is inherently reflexive in a way that Hegel thinks will allow him to derive from the possible thought of anything at all notions like something and finitude, and ultimately essence, appearance, even the idea of the good…. Hegel thinks that thought is always already giving itself its own content: itself, where that means, roughly, determining that without which it could not be a thought of an object…. But all this can only count as previews of coming attractions” (pp. 91-92).

This is important. The thought that is self-legislating and one with its object, while it doesn’t include mere belief, is being said to include at least some thought that occurs in ordinary life. According to Pippin, thinking far enough through with any content at all has a self-legislating and category-generating character for Hegel.

“The suggestion is that Hegel thinks of anything’s principle of intelligibility, its conceptual form, as an actualization in the Aristotelian sense, the being-at-work or energeia of the thing’s distinct mode of being, not a separate immaterial metaphysical object. In understanding Hegel on this point, we should take fully on board the form-matter, actuality-potentiality language of Aristotle, and so the most interesting kind of hylomorphism, soul-body hylomorphism, as our way of understanding this nonseparateness claim.” (p. 92).

Here I can only applaud.

“To think that for creatures like us, we must distinguish the sensory manifold from the form that informs it is the great temptation to be avoided for Hegel. The power of the eye to see is not a power ‘added’ to a material eye…. The seeing power is the distinct being-at work of that body. The form-content model central to Hegel’s account of logical formality works the same way” (pp. 92-93).

That seeing is not somehow “added” to the eye is another Aristotelian point. The eye is what it is in virtue of what it is for the sake of. Incidentally, Joe Sachs’ translation of Aristotlian energeia as “being-at-work” appears to have a precedent in Hegel’s German.

Pippin’s identification of a being-at-work or actuality with a power here is novel. “Power” commonly appears in translations of (especially Latin scholastic) discourse about potentiality rather than actuality. Power seems to me to be some kind of capability for efficacious action, whereas potentiality and actuality both belong primarily in the register of ends and “for the sake of”. It does make sense that a capability could follow from an actualization or be attributed to it. Paul Ricoeur makes a nice ethical use of capability, but in general I worry that talk about power privileges efficacious action over the intelligible ought and the “for the sake of”.

Pippin returns again to the unity of thinking and being.

“So it is perfectly appropriate to say such things as that for Hegel reality ‘has a conceptual structure’, or ‘only concepts are truly real’, as long as we realize that we are not talking about entities, but about the ‘actualities’ of beings, their modes or ways of being what determinately and intelligibly they are. To say that ‘any object is the concept of itself’ is to say that what it is in being at work being what it is can be determined, has a logos…. We can say that reality comes to self-consciousness in us, or that the light that illuminates beings in their distinct being-at-work is the same light that illuminates their knowability in us, as long as we do not mean a light emanating from individual minds” (pp. 93-94).

“And here again, Hegel’s model of metaphysics… is Aristotelian. And Aristotle’s metaphysics is not modern dogmatic metaphysics, does not concern a ‘supersensible’ reality knowable only by pure reason. In many respects it is a metaphysics of the ordinary: standard sensible objects, especially organic beings and artifacts. This means that in many respects Kant’s critique of rationalist metaphysics in effect ‘misses’ it” (p. 94).

“By and large Hegel means to ‘denigrate’ the immediately given, how things seem to common sense…. This has nothing to do with doubting the external reality of tables and molecules…. The point of Hegel’s denying to finite, empirical reality the gold standard badge of true actuality is not to say that it ‘possesses’ a lesser degree of reality in the traditional sense (whatever that might mean). It is to say that finite objects viewed in their finitude, or considered as logical atoms, can never reveal the possibility of their own intelligibility” (pp. 96-97).

This provides a clue to the negative connotations of finitude in Hegel. It has far more positive connotations for me, but I consider the primary meaning of “finitude” to be a dependence on other things, which is as different as could be from logical atomicity. This is another different use of words, not a difference on what is or ought to be. If “finite” is taken to mean “to be treated as a logical atom” as Pippin suggests, the negative connotations are appropriate.

Logic and Metaphysics

In Emancipatory Logic? I began a walk-through of Robert Pippin’s important Hegel’s Realm of Shadows. This post borrows its title from his second chapter, though it only addresses the first part of it.

According to Pippin, Hegel’s Science of Logic is intended to exhibit the “spontaneous” or “self-generating” actualization of intelligibility. This takes places through the higher-order universals that Kant following Aristotle called “categories”.

Hegel’s “logic” provides his alternative to Kant’s notoriously long and difficult argument for the possibility of a priori knowledge that is not merely analytic, and to Kant’s derivation of the categories. As an exercise in what Aristotle called first philosophy, it is not supposed to depend on anything else.

By his own lights Hegel is extremely concerned with concreteness. He is therefore very conscious that his “logic as first philosophy” only addresses possible actualizations of intelligibility, and doesn’t derive anything real. We might think that the actualization of intelligibility would be a realm of light, but here the concern is with the emergence of light, hence his curious metaphor that “logic” is a realm of shadows.

“Hegel follows Kant’s innovation in his response to the empiricist challenge…. The basic question is, How could there possibly be objectively valid concepts, true of all objects, but not derived from experience? Where could they come from? In Hegel’s terms, this amounts to the question, How do concepts that are the products of thought alone ‘give themselves’ content, where by content we mean something extraconceptual?” (pp. 39-40).

Pippin says that Hegel will want “to determine objects in their thinkability, where that means their suitability not for a finite, subjective power, but for thought as such, that is, objects in their intelligibility, in their being at all intelligibly what they are. Their being what they are is their concept, or their ‘being their concept’, for Hegel. The concepts did not come from anywhere, any more than the thinking power comes from anywhere” (p. 40). Hegel aims for a “logic of the knowable as such” (p. 41).

“[Kant’s] critique concerns the modern tradition stemming from Descartes, embodied in Arnauld’s and Nicole’s Port Royal Logic in 1662, as well as the Leibnizian/Wolffian metaphysical tradition. The former held that clarity about the relations between ideas could lead the mind closer to the bearers of philosophical truth, clear and distinct ideas, known passively by the ‘light of reason’. For the latter, the laws of thought simply are the ‘laws of truth’ (to use Frege’s phrase), or a general logic is just thereby a logic of objects, because all philosophical truth is what Kant would call ‘analytic’, arrived at by logical analysis alone” (pp. 41-42).

Pippin emphasizes that Kant and Hegel both reject the early modern (originally Thomistic) idea of passive illumination by a “natural light” of reason. In the original Thomistic context, the idea of a natural light of reason played what I think was a very positive role as a counter-weight to sectarian tendencies in religion, but in the early modern context it led to a new kind of dogmatism.

“With general logic as it was understood in the Port Royal and the Wolffian traditions, [Hegel] agrees that logical reasoning, understood in that way, does not provide knowledge of objects. He especially agrees with Kant that reason and understanding are activities, not passively ‘illuminated’. As ‘that great foe of immediacy’, in Sellars’ phrase, he does not mention or rely on such receptive or noetic intuition. As such a great foe, Hegel is opposed to any notion of self-standing, atomic conceptual content. As he wants so famously to show in a dialectical logic, determinateness is a function of determination, always an identification ‘through an other’, his formulation for discursivity” (p. 42).

For Hegel, there is no determinateness without a prior activity of determination. That activity is a discursive articulation of otherness in its concreteness by means of language.

Hegel’s Science of Logic is divided into what he calls an “objective” logic, consisting in a “logic of being” and a “logic of essence”, and a “subjective” logic, consisting entirely in a “logic of the concept”.

“The logic of being seems clearly to correspond to the Kantian categories of quality and quantity, what Kant called the mathematical and constitutive categories, and the logic of essence certainly seems to correspond to the categories of relation and modality, or the dynamic and regulative categories. The logic of the Concept makes use of the same syllogistic central to Kant’s conception of the role of such an inferential structure in the activity of reason” (p. 43).

Incidentally, I find it intriguing and highly plausible that Hegelian essence would express relation and modality. As much of an improvement as this is over the early modern notion of essence as a putatively self-contained content, it still does not yet address the fluidity of what would have been essence in development over time.

Pippin notes that in an 1812 letter, Hegel also said the objective logic roughly corresponds to the “ontology” he saw articulated in Aristotle’s logical works. I would add that Hegel’s “logic of the concept” moves beyond the “objective” logic in somewhat the same way that the discussion of “substance” in Aristotle’s Metaphysics moves beyond that in the Categories.

Pippin says “there is no question that Hegel both wholeheartedly agreed with Kant’s critique of substantive metaphysics, and realized that that critique applied only to modern metaphysics and left several possibilities open” (p. 44). He quotes Hegel saying “What Kant generally has in mind here is the state of metaphysics of his time…; he neither paid attention to, nor examined, the genuinely speculative ideas of older philosophers on the concept of spirit” (ibid).

He begins to clarify what Hegel more specifically means by logic.

“[F]or both Kant and Hegel, the unit of significance for any logic is not the proposition or any static formal structure but acts of reasoning and assertion” (ibid).

“Hegel’s logic does not primarily concern relations among, operations upon, propositions, and is instead oriented from a logic of terms. So we don’t see a syntax specified by axioms, a proof theory, and a semantics” (ibid).

In mainstream 20th century logic, the older term logic was regarded as a mere historical relic. But since the late 20th century, type theory has provided a formulation of term logic in higher-order mathematics that subsumes not only first-order but also higher-order predicate logic, so even in strictly mathematical terms, term logic is once again highly relevant.

“But as becomes clearer in the logic of the Concept, conceptual content is not provided by analysis of atomistically conceived concepts. Concepts are understood, as they were in Kant, as ‘predicates of possible judgments’, and the roles they play in possible judgments in various contexts, involving other concepts, and the roles they can and cannot play in such judgments (including the inferential relations among the judgments) are necessary to specify such concepts. This is why Hegel metaphorically speaks of concepts as alive, in movement, and why the logic’s ‘motion’ is the key to the specification of any concept…. Concepts are rules for judgmental unification, and judgmental unifications are always apperceptive” (p. 45).

“So the structure of concepts in use is the structure of the apperceptive ‘I’ (ibid; see also Ideas Are Not Inert).

“The concept of the Concept, the apperceptive understanding of the implications of this apperceptive structure, is what Hegel calls ‘the Absolute'” (ibid).

He compares Hegel’s view of concepts to that of the contemporary philosopher John McDowell in Mind and World.

“[I]n McDowell’s view we can certainly distinguish thinking from what is thought (the world is not a thought-thing; thinking is a discursive activity; the world is not a discursive activity) and still insist that the world ‘is made up of the sort of things one can think. (That discursive activity is, in its unity, the unity of anything that can be known would be expressed on the ‘object side’ by claiming that a determinate object is articulable as a single unity.) Or, for example, the profound-sounding (even Heideggerian) claim that there is no ontological gap between thought and world just comes down to the fact that ‘one can think, for instance, that spring has begun, and that very same thing, that spring has begun, can be the case’. What I think when I know (think truly) that something is the case is simply what is the case. It is thus a truism of sorts that, with the issue posed in a Kantian way, ‘the forms of thought are the forms of things…. The distinction between ‘conditions on the possibility of knowledge of things’ and ‘conditions on the possibility of things themselves’, which some use to characterize Kantian idealism, should be rejected ‘on the ground that the relevant conditions are inseparably both conditions on the thought and conditions on objects, not primarily either the one or the other'” (p. 47).

Frege said a fact is a true thought. The early Wittgenstein identified the world with what is the case. Aristotle said there is no difference between thought in the strong sense (nous or “intellect”) and that of which it thinks. Pippin quotes Hegel’s implicit invocation of Aristotle on this point:

“The older metaphysics had in this respect a higher concept of thinking than now passes for accepted opinion. For it presupposed as its principle that only what is known of things and in things by thought is really true [wahrhaft Wahre] in them, that is, what is known in them not in their immediacy but as first elevated to the form of thinking, as things of thought. This metaphysics held that thinking and the determination of thinking are not something alien to the subject matters, but rather are their essence, or that the things and the thinking of them agree in and for themselves (also our language expresses a kinship between them); that thinking in its immanent determinations, and the true nature of things, are one and the same content” (p. 48; see also Form and Things).

Pippin points out that Hegel does not simply identify facts with propositions. Rather, in the spirit of Kant’s unities of apperception, he is concerned with “thought’s agreeing with itself” (p. 51). “The force of a judgment is judgment’s own force; it is not a natural force or the result of the accumulation of empirical data” (p. 52). In a footnote Pippin adds that “‘I did it because I thought I ought to’ could be appealed to to make the same point” (ibid).

“A wolf is not simply, in itself, what it is to be a wolf but to some degree or other a better or worse exemplification of such a concept ‘for itself’. The object is not just ‘as it is’; it is ‘for’ (here, in the sense of ‘for the sake of’) its concept and hereby itself…. This is all in keeping with Hegel’s general tendency to gloss his use of for-itself with Aristotle’s notion of an actualized potential” (pp. 54-55).

“To say that an object is ‘for its form’ is just to say that there is an intelligible dynamic in its development. (As in Aristotle, the particular kind of unity by which any thing or process or activity is what it distinctively is is the unity by virtue of which it is intelligible.)…. This intelligible dynamic is its concept and is not something that exists separate from or supervening on some physical attributes and efficient causation. It just is the intelligible way a development develops; there is nothing ‘over and above’ the development” (p. 55).

Pippin quotes Hegel’s Encyclopedia logic where Hegel specifically recalls Aristotle’s criticism of Plato for neglecting the actuality of forms.

“Self” and “other” are inseparably related in the Logic, as they are in the discussion of self-consciousness in the Phenomenology. In the Logic, “‘for itself’ and ‘for an other’ will be reciprocally dependent notions” (p. 56).

For Hegel, a being “is what it is and not anything else (it is ‘in itself’), but only by virtue of the properties that can intelligibly distinguish it from its contraries (can determine what it is ‘for itself’)…. Accordingly, everything… turns on the sweeping claim that ‘truth [the truth of being, the determination of what things truly are] is self-consciousness [the forms of self-conscious judgment]…. This does not claim it exists only as conceived, or that the conceiving on which its determinacy depends should be understood as subjective mental episodes” (pp. 56-57).

“Thought can determine its objects, but not by appeal to the light of reason, not ‘immediately’…. Much more will have to be said about this, but it will be very important to Hegel that to consider things in their intelligibility is also and at the same time to consider them in terms of the only beings for whom beings can be intelligible, rational beings” (p. 57).

Pippin says that Hegel rejects Kant’s “distinction between things considered in their possible intelligibility and things considered simply as they are in themselves” (p. 58). He again notes that Hegel is neither simply identifying things with thoughts nor identifying thought’s self-determination with anything like the Absolute’s knowledge of itself.

“[T]he initial, simple point at issue now is that anything’s being at all would be mere indeterminate and indistinguishable being were it not conceptually determinate, articulable — in the simplest sense, an instance of a concept” (p. 59).

“And this raises Hegel’s main question in the Logic: how to account for conceptual content…. The answer to that question will depend on two very difficult elements in Hegel’s project: … that the form of the concept is the form of the self, and that, accordingly, truth is self-consciousness; and the claim that the way to understand this content is to understand these concepts as ‘self-negating’, but in a way that promises a positive result” (ibid).

Di Giovanni on Hegel’s Logic

“The subject matter of the Logic is not the ‘thing-in-itself’ or its phenomenal manifestations, whether one conceives the ‘in-itself’ as a substance or as freedom, but is discourse itself…. The Logic itself is a discourse about discourse” (George di Giovanni, translator’s introduction to Hegel, The Science of Logic, p. xxxv).

Writing about Hegel’s development, di Giovanni says that by 1803/04, “Consciousness is where organic nature acquires its highest point of concentration by reflecting upon itself and where nature as such becomes spirit. When this consciousness develops into language, and language in turn becomes the language of a people, the social character of spirit is then revealed” (ibid, p. xix).

“[W]hile in 1803/04 Hegel provided a smoother transition from nature to spirit by introducing the factor of consciousness and thus adding to nature, so to speak, a new dimension of depth, [in 1805/06/07] he adds to it yet another dimension by conceiving spirit as the place where nature becomes conscious of its being conscious, that is to say, the place where it becomes deliberate about itself or, again, where it becomes a product of spirit” (p. xxi).

“[Kant’s] notorious ‘thing-in-itself’, instead of being understood as an ideal term of reference that generates a universal space of reason… could be taken instead — as it in fact was by many contemporaries — as a sort of hyper-physical entity…. In a critical context, however, any appeal to causality… would have to fall on the side of a physiological pre-history of experience” (p. xxx).

“It was to remedy this failure that Fichte undertook his thought experiment [with pure freedom], asking his auditors to simply think for the sake of thinking and to reflect on the result…. The net result is that the whole of experience becomes colored with a moral tinge, exactly what Fichte had of course intended from the start. Experience is a call to transform the otherwise merely brute facts of experience…. The idea of construing objects of experience by applying categories to a presupposed given content loses all its meaning…. One must rather interpret experience” (pp. xxxi-xxxii).

(It always seemed to me that even the “application” of pre-existing categories to the sensible manifold implicitly requires interpretation in order to judge which categories are applicable in each specific context of the manifold, and how they are applicable in each case. To my knowledge Kant does not speak of this explicitly, but I don’t think he ever explicitly assumes specific contents in the manifold either. What would then be “given” for Kant ought to be just the manifold as a potentially differentiable lump. Following the principle of charitable interpretation, then, I read Kant as a bit closer to Fichte on this point. The implicit interpretation I want to attribute to Kant would probably operate via the pre-conscious figurative synthesis of imagination though, whereas I think Fichte has a more conscious process of interpretation in mind.)

“On Hegel’s analysis of both Kant and Fichte, the problem is that the ‘I’ that figures so prominently in their theories is too abstract a product…. Therefore, according to Hegel, it lets the content of experience… escape from it and fall, so to speak, on the side of a beyond from which it is retrievable only by means of such non-conceptual means as intuition…. And if Hegel did not want to travel the way of Schelling, which would have taken him to a pre-Kantian Spinozism, then the only avenue open to him was to comprehend facticity discursively, without intuition or myth-making” (pp. xxxiii-xxxiv).

“I have been deliberately using ‘discourse’ and ‘discursiveness’ instead of ‘dialectic’ (a term, incidentally, that Hegel uses sparsely in the Logic) in an attempt to demystify the latter term. But it should be clear that the meaning is the same” (p. xxxix).

“[W]e do not have anything that would amount to McTaggart’s Absolute Idea from which, allegedly, every minute detail of reality can in principle be deduced. This is a position that Hegel unequivocally rejected and even found infuriating…. As for Hegel, the strength of his Logic lies in that it finds a ground for this contingency in the indeterminacy necessarily inherent in the structure of things that are in becoming” (p. lviii).

Hegel takes us beyond sterile debates about freedom versus determinism by means of a novel account of determinacy itself as including built-in indeterminacy. Aristotle of course preceded him in this, albeit with a different account of determination-including-indeterminism.

“[I]t is nature which in the abstract medium of logical discourse attains the self-comprehension, and the efficacy, which we attribute to spirit. Nature is for Hegel, just as it was for Schelling, the ‘pre-self’ of the ‘self’, not just the ‘other-than-self’ of Fichte” (p. lix).

Incidentally, di Giovanni dedicates his 2010 translation of the Science of Logic to his “mentor and friend” H. S. Harris, whose unique literal commentary on Hegel’s Phenomenology I previously treated at length.

Zambrana on Actualization

Building on the interpretations of Pipppin and Brandom, Rocío Zambrana in Hegel’s Theory of Intelligibility (2015) argues that Hegel’s logic is based around the same notion of actualization that orients his ethics, and that actualization is none other than Hegel’s reformulation of Kantian synthesis. This is a fascinating complement to my previous focus on the Aristotelian background of Hegelian actualization. She argues that the main significance of the theory of the “absolute” idea in the Science of Logic is to make intelligibility a function of normativity.

She begins, “To be is to be intelligible, according to Hegel” (p. 3). Plato and Aristotle would concur.

Zambrana agrees with Pippin that Hegel defends the complete autonomy of reason, thus radicalizing Kant’s critical project. “For Kant, the sensible given and the postulates of practical reason (freedom, God, the immortality of the soul) are touchstones of knowledge, morality, faith. For Hegel, the only legitimate touchstone of a thoroughgoing critical philosophy is reason itself” (p. 4).

She suggests that intelligibility and normativity for Hegel are a matter of binding between ideality and reality that is always subject to renegotiation.

“In the Logic, Hegel pursues an immanent critique of classical ontology, philosophies of reflection, and transcendental idealism that allows him to elaborate his distinctive view of determinacy as a matter of the dialectical relation between ideality and reality” (p. 6).

“In what is perhaps the most puzzling passage of the Logic, Hegel describes the absolute idea as personality (Persönlichkeit). While puzzling, this passage is not mystifying. It is in fact key. It helps us specify the status of the absolute idea as the concept that elaborates the view that intelligibility is a matter of normative authority. It indicates that binding is the structure of intelligibility” (pp. 5-6; see also Substance and Subject).

“Hegel argues that form is nothing but negation” (ibid).

That form is negation for Hegel seems clear. But I constantly struggle to clarify the real meaning of negation in Hegel. For sure, it is not classical negation. But what exactly is it? To me, many of Hegel’s usages of negation and related terms seem metaphorical. Ordinarily, people use concrete metaphors to circuitously express more abstract things, but Hegel often uses the extreme abstraction of negation or negativity as a metaphor for various more concrete things or conditions. Negativity in Hegel therefore doesn’t seem to me to have a single fixed meaning. This ought not to be surprising, given Hegel’s strong opposition to single fixed meanings in general.

I sometimes think Hegel goes too far in this direction. Good definitions retain value for clarity of thought, even if they are always provisional and context-bounded. Hegel himself seems to recognize something like this when he emphasizes that understanding, despite its limitations, plays an essential role. I prefer Aristotle’s style of approaching things as “said in many ways” — where each of the ways is potentially definable, but there may be real question which is applicable in any given case — over unspecified generalized fluidity.

“Negation is necessarily a negation of something — whether a logical category, a philosophical position, a historically specific identity or institution. Form thus requires content in order to be negation. The central claim of Hegel’s theory of determinacy, then, concerns the negativity of form and the necessity of content” (ibid).

I am also very sympathetic to the importance of content, but a bit in doubt about the argument that negation in and of itself straightforwardly requires content to which it is applied. That would be true for negation in a formal sense that is not Hegel’s, but Hegel does not put much stock in fixed definitions, and he often speaks of a pure negativity that doesn’t seem to depend on anything else or refer to anything external to it. This I take to be part of what he calls the “inverted” perspective of otherness.

“Negativity is the inner determination of the way in which intelligibility is articulated within practices and institutions” (p. 7).

“Inner determination” here would be the purely “logical” aspect, as distinct from the social and historical.

“[N]egativity calls into question the assumption that the content of any normative commitment retains authority or stability within a historically specific form of life…. [Concrete forms of intelligibility] are subject not only to reversals of meanings and effects but also to coextensive positive and negative meanings and effects. For these reasons, no determination can be understood as final or fully stable” (ibid).

She seems to think this latter point is implicit but insufficiently emphasized in the readings of Pippin and Brandom. I think they already make it explicit. How much relative emphasis to give to determination versus fluidity is a delicate matter subject to considerations of context.

“[T]he key to Hegel’s idealism and its emphasis on negativity is his treatment of the Kantian problem of synthesis” (p. 12).

“Hegel follows Fichte’s reading of Kantian autonomy [as positing], yet he stresses that positing is a matter of actualization, which he understands in terms of normative authority. The activity of reason is a matter of distinction-making” (p. 37).

Provocatively, she suggests that Hegel makes a three-way identification of reason, imagination, and synthesis.

“Recall that Hegel suggests [in his early work Faith and Knowledge] that the transcendental unity of apperception and the figurative synthesis are one and the same synthetic unity. Hegel calls this one and the same synthetic unity ‘reason’. In fact, he argues that ‘the imagination is nothing but reason itself’…. Reason for Hegel, I want to suggest, is neither an epistemic faculty nor an ontological principle. It is the work of synthesis” (p. 40).

My instinct is still to distinguish reason from imagination, thinking of reasoning as mainly conscious and deliberate and imagination as mainly pre-conscious. Similarly, I am doubtful about early Hegel’s identification of Kantian unity of apperception and figurative synthesis. Both are forms of synthesis, but following Brandom I take the unity of apperception to be a kind of moral imperative, whereas I take the figurative synthesis of imagination to be something that happens pre-consciously. This seems like an important difference.

That the activity of reason in general is one of synthesis, however, is an excellent point.

“A totality of relations of negation is gathered together by inferential patterns that thereby institute a concrete determination of reason. Reason can thus be thought of as concrete forms, figures, or shapes of rationality articulated by a process of actualization” (ibid).

“A logic of actualization indicates that intelligibility is not only historically specific but also precarious and ambivalent” (p. 41).

She points out that for Kant, an individual concept is not itself a product of synthesis, whereas for Hegel it is.

“That a thing, event, idea is always already outside of itself… is not to the detriment of the thing. Rather, it is the thing’s way of becoming what it is” (p. 42).

She recognizes that Hegel’s teleology is Aristotelian rather than “classical” in form, and that teleology for both Aristotle and Hegel is inherently subject to contingency in its actualization. In neither Aristotle nor Hegel is the working out of teleology underwritten by an omnipotent power.

“Hegel does not articulate reason’s purposiveness in terms of a goal that is unambiguously realized, thereby affirming a classical teleology of reason. Hegel argues that reason is purposive ‘in the sense in which Aristotle also determines nature as purposive activity'” (ibid).

She recognizes that the import of Hegel’s famous “substance is also subject” is not an assertion of some cosmic mind, but rather is intended at a much more elemental level.

“The ‘tremendous power of the negative’ is accordingly the capacity of things to unfold in and through conditions that exceed them…. The actualization of reason is the subjectivity of things themselves” (p. 43).

The “subjectivity of things themselves” testifies that we have here moved beyond the opposition of subject and object that Hegel attributes to ordinary consciousness.

“Establishing the objectivity of subjectivity requires action (Handeln)…. Hegel’s appeal to action introduces the thought that Kant’s signature problem of objectivity is in effect a problem of normative authority” (p. 118; see also Hegel on Willing).

I would prefer to say activity rather than action, but in this context that is a nuance.

Foreshadowing the Concept

This will conclude my walk-through of the Preface to Hegel’s Phenomenology. Here he gives an explicit anticipation of what he calls “the concept”, which will be a key term in the Phenomenology‘s successor work, the Science of Logic. Along with “idea”, “concept” for Hegel represents something that is already beyond the naive opposition of subject and object.

If we imagine the naive view of subject and object as a pair of distinct points, a preliminary analogy for Hegelian concept and idea would be a line between the subject and object points. This can be understood as including all the meaningful content of experience, and can be taken as close as you like to either or both endpoints, but does not include either endpoint. Then the inversion of point of view that Hegel speaks of between ordinary consciousness and the standpoint of his logic would correspond to the relation between seeing experience in terms of the static duality of subject and object, and seeing it in terms of “living” concept and idea.

He begins this part with some remarks about mathematics that are overall very negative-sounding. This is setting up for a contrast between mathematics as the paradigm of static “formal” reasoning, and the meaning-oriented, becoming-oriented “dialectical” reasoning he wants to promote. To put the negative remarks in proper perspective, it is worth knowing that he will devote nearly 200 pages in the early part of the Science of Logic to a serious and sympathetic discussion of mathematics that shows good familiarity with the leading mathematical writers of his day.

“As for mathematical truths, one would hardly count as a geometer if one only knew Euclid’s theorems by heart without knowing the proofs” (p. 25).

Here he repeats the important point that knowledge does not consist in bare conclusions or propositions.

However, I think he goes astray when adds that really, “The movement of mathematical proof does not belong to the object but is a doing that is external to the item at hand” (ibid). I would say almost the opposite: the appearance of externality between theorem and proof — the idea that theorems have a status of simple truth independent of their proofs — reflects the very same kind of error that he pointed out before in the separation of results from the development that produced them.

It is true that a mathematical proof viewed as an object does not consist in the kind of becoming of knowing that Hegel attributes to good philosophical thinking. To mix terminology from computer science and Aristotle, mathematical proofs are in principle “statically” evaluable; this means they do not depend on any runtime accidents. In Platonic terms, mathematical objects are “eternal”, and proof is a kind of strict unfolding of their essence that we can imagine after the fact to have been predetermined, even though we don’t see the full predetermination in advance.

Earlier in the Preface, Hegel has argued that in the genuine becoming of knowing, “accidents” play an essential role, just as I would say they do in any actual working out of Aristotelian teleology. The means is not irrelevant to the end to the extent that we care about the end’s actualization. Like Aristotle, Hegel treats the process of actualization as primary.

Thus he is right that the becoming of knowing that philosophy ought to aim at does not — and ought not to — follow the canons of mathematical proof. In philosophy, we learn as much from our mistakes as from our successes, but errors in mathematics do not present the same kind of opportunities for improving our wisdom. Mathematics is not philosophy but something else. It is not “conceptual” in Hegel’s sense that involves a kind of “life” and “self-movement” of the concept.

However, he goes on to say that “In mathematical cognition, insight is an external doing vis-à-vis the item at issue” (p. 26, emphasis added). I don’t find this to be true today, and think it was, if anything, further from true in Hegel’s day.

Surely the maximal externalization of human insight from proof would be today’s computer-based proofs. While it is now possible to produce purely symbolic proofs whose validity depends only on the syntactic rules of a functional programming language, and sometimes even to produce proofs in a fully automated way, the really big successes of computer-based mathematical proof in recent decades have involved automated proof checkers that eschew fully automated proof development in favor of “dialogue” with an insightful human. At least in the current and foreseeable state of the art, human insight is not at all external to the development of mathematical proofs, even though the checking of completed or partial proofs for errors can be fully automated.

I say that mathematics is not philosophy, but its practice is far from being the mindlessly formal “defective cognition” he makes it out to be here in the Preface. Mathematical objects including completed proofs are static, but I say that the doing of mathematics essentially involves the activity of human intelligence.

“[W]hat is formal in mathematical convincingness consists in this — that knowing advances along the line of equality. Precisely because it does not move itself, what is lifeless does not make it all the way to the differences of essence…. For it is magnitude alone, the inessential difference, that mathematics deals with” (p. 27).

Mathematics only deals with things that are in principle strictly univocal. Strictly univocal things lack “life” for Hegel, and are therefore inessential.

“In contrast, philosophy does not study inessential determinations but only those that are essential. The abstract or the non-actual is not its element and content; rather, its element and content is the actual, what is self-positing, what is alive within itself, or existence in its concept. It is the process which creates its own moments and passes through them all; it is the whole movement that constitutes the positive and its truth. This movement just as much includes within itself the negative ” (p. 28).

Philosophy for Hegel is especially concerned with actuality, and as with Aristotle, what is actual is not simply to be identified with what is factual.

“Appearance is both an emergence and a passing away which does not itself emerge and pass away… which constitutes the actuality and the living moment of truth…. Judged in the court of that movement, the individual shapes of spirit do not stably exist any more than do determinate thoughts, but they are also equally positive, necessary moments just as much as they are negative, disappearing moments” (pp. 28-29).

Here he is using “appearance” in a very different way from what Plato called mere appearance. It seems to be something like the concrete manifestation that is necessarily implicit in actuality.

“In the whole of the movement… what distinguishes itself in it and what gives itself existence is preserved as the kind that remembers, as that whose existence is its knowing of itself” (p. 29).

Previously, he said that the true is the whole. In this movement of self-knowing, which is quite different from being an object for oneself, the subject and object that are quite distinct for ordinary consciousness become interwoven.

“It might seem necessary to state at the outset the principal points concerning the method of this movement…. However, its concept lies in what has already been said, and its genuine exposition belongs to logic, or is instead even logic itself, for the method is nothing but the structure of the whole in its pure essentiality” (ibid).

The entry point for what Hegel calls “logic” is what I have glossed as being at home in otherness. For Hegel, logic is not about formal manipulations. It is a very non-ordinary way of looking at things that leaves distinctions of subject and object behind. The Phenomenology is supposed to provide a way into this perspective, starting out from what Aristotle would call the way things (ordinarily) are “for us” (see Otherness; At Home in Otherness).

“In everyday life, consciousness has for its content little bits of knowledge, experiences, sensuous concretions, as well as thoughts, principles, and, in general, it it has its content in whatever is present, or in what counts as a fixed, stable entity or essence…. [I]t conducts itself as if it were an external determining and manipulation of that content” (p. 30).

Ordinary consciousness regards things in the world as fixed, pre-known, and manipulable. It regards itself as somehow standing off to the side from the order of the world, and implicitly as able to act in complete independence from that order. It is “Cartesian”. The weakness of this point of view is progressively exhibited in the Phenomenology.

“Science may organize itself only through the proper life of the concept…. [D]eterminateness… is in science the self-moving soul of the content which has been brought to fulfillment. On the one hand, the movement of ‘what is’ consists in becoming an other to itself and thus in coming to be its own immanent content; on the other hand, it takes this unfolding back into itself, or it takes its existence back into itself, which is to say, it makes itself into a moment, and it simplifies itself into determinateness” (p. 33).

Hegelian rational “science”, sustained in otherness, examines a movement of “logical” unfolding and return that (unlike the unfolding and return in neoplatonism) occurs not in eternity but in worldly coming-to-be. The fact that the return occurs in becoming and in time gives it the form not of a simple circle but of an open-ended spiral that never literally returns to its origin.

“[S]cientific cognition requires… that it give itself over to the life of the object” (ibid, emphasis added).

In the main body of the Phenomenology, the Consciousness chapter shows the limitations of the ordinary view that we are wholly separate from the object, and the Self-Consciousness chapter develops a sharp critique of the attitude of the master who attempts to claim unilateral control over both objects and other people.

“[T]he stable being of existence… is itself its own inequality with itself and its own dissolution — its own inwardness and withdrawal into itself — its coming-to-be. — Since this is the nature of what exists, and to the extent that what exists has this nature for knowing, this knowing is not an activity which treats the content as alien. It is not a reflective turn into itself out of the content… [W]hile knowing sees the content return into its own inwardness, its activity is instead sunken into that content, for the activity is the immanent self of the content as having at the same time returned into itself, since this activity is pure self-equality in otherness” (p. 34).

Here we have a direct statement about what overcoming alienation ought to look like.

“Its determinateness at first seems to be only through its relating itself to an other, and its movement seems imposed on it by an alien power. However, … it has its otherness in itself…, for this is the self-moving and self-distinguishing thought, the thought which is its own inwardness, which is the pure concept. In that way, the intelligibility of the understanding is a coming-to-be, and as this coming-to-be, it is rationality” (p. 35).

Overcoming alienation is anything but the suppression of what is other. Neither is it a return to an original perfection. Rather, it consists in a non-ordinary sense of self that is not opposed to the other or to the field of otherness.

“Logical necessity in general consists in the nature of what it is [for something] to be its concept in its being. This alone is the rational, the rhythm of the organic whole, and it is just as much the knowing of the content as that content itself is the concept and the essence…. The concrete shape which sets itself into movement… is only this movement, and [its concrete existence] is immediately logical existence. It is therefore unnecessary to apply externally a formalism to the concrete content. That content is in its own self a transition into this formalism, but it ceases to be the latter external formalism because the form is the indigenous coming-to-be of the concrete content itself” (ibid).

In emphasizing the contentfulness of the concept rather than formal syntax as the true driver of logical necessity, he seems to be talking about something like what Sellars and Brandom call material inference.

“Although what is stated here expresses the concept, it cannot count as more than an anticipatory affirmation. Its truth does not lie in this narrative exposition” (p. 36, emphasis added).

Truth, once again, must lie in an extensive development that is never truly finished by us humans. This remark could reasonably apply to the whole Preface, but I am struck by the reference to the concept and by the place in which it occurs, just after an explicit reference to logic. Here he is looking forward not only to the main body of the Phenomenology, but even more so to what will become the Science of Logic.

He goes on to criticize “clever argumentative thinking” at length, and to contrast it with “comprehending thinking”.

“[C]lever argumentation amounts to freedom from content and to the vanity that stands above all content” (p. 36).

By Hegel’s high standards, any argument that assumes meanings are determined in advance at least tends toward the vanity and irresponsibility of what Plato and Aristotle denounced as sophistry.

Hegel wants to recommend instead that “This vanity is expected to give up this freedom, and, instead of being the arbitrary principle moving the content, it is supposed to let this freedom descend into the content and move itself by its own nature…. This refusal both to insert one’s own views into the immanent rhythm of the concept and to interfere arbitrarily with that rhythm by means of wisdom acquired elsewhere, or this abstinence, are all themselves an essential moment of attentiveness to the concept” (pp. 36-37).

Moreover, what plays the role of the subject of thought is not at all the same for comprehending thinking as it is for clever argumentation.

“[C]lever argumentative thinking is itself the self into which the content returns, and so too, the self in its positive cognition is a represented subject to which the content is related as accident or predicate. This subject constitutes the basis in which the content is bound and on the basis of which the movement runs back and forth” (p. 37).

He continues, “Comprehending thinking conducts itself in quite a different way. While the concept is the object’s own self, or the self which exhibits itself as the object’s coming-to-be, it is not a motionless subject tranquilly supporting the accidents; rather, it is the self-moving concept which takes its determinations back into itself. In this movement, the motionless subject itself breaks down; it enters into the differences and the content and constitutes the determinateness, which is to say, the distinguished content as well as the content’s movement, instead of continuing simply to confront that movement” (pp. 37-38).

Comprehending thinking “enters into the differences and the content”.

“[T]here is an obstacle based in the habit of grasping the speculative predicate according to the form of a proposition instead of grasping it as concept and essence” (p. 41).”

The form of a proposition is simply to be true or false. He may also have in mind the form of predication. Grasping something as concept and essence is treating it as articulable meaning to be interpreted, rather than as a mere thing to be pointed at.

“True thoughts and scientific insight can be won only by the labor of the concept. Concepts alone can produce the universality of knowing” (p. 44).

Otherness

I wanted to elaborate a bit on what I see “otherness” as doing in the part of Hegels’ text that formed the subject of the previous post. Cambridge University Press provided only a skimpy index, which scandalously includes no entry at all for this key term. I don’t specifically recall “otherness” being literally used in the main body of the Phenomenology, though it may well exist somewhere. What I find googling “Hegel otherness” seems entirely devoted to the relation of self-consciousness to other people. Quick review of top results failed to turn up a supporting quote from Hegel using the literal term “otherness” in that way, however. This leaves it unclear to me whether this more social usage of “otherness” is even literally Hegelian, or is rather a term interpolated by commentators.

Relations to other rational beings are essential to Hegelian self-consciousness, to the point where I have quipped that it might better be called other-consciousness. This social and ethical meaning of otherness is not irrelevant to the current context. However, I take Hegel’s use of “otherness” in the Phenomenology Preface to be primarily “logical” in his special sense, rather than social.

In the Preface, Hegel calls Anderssein (otherness; literally, “being-other”) the “element” and the “ether” in which knowing occurs. Hegel is using “knowing” in a very broad sense here, encompassing everything from the mere acquaintance of ordinary consciousness with objects, to the pinnacles of philosophy. He begins to develop otherness by way of implicit contrast with that other element of “familiarity” and “representation” that he mentions as an obstacle to the higher development of knowing.

He explicitly calls otherness the element of “science” (rational understanding) in knowing, while implying that familiarity and representation characterize a contrasting element of immediacy that he sees as an obstacle to “science”. For Hegel, “science” is first and foremost the “logic” that was to form the first part of the “system” the Phenomenology was to introduce, so it could equally be said that otherness here is the unfamiliar standpoint of Hegelian logic, for which the whole long detour of the Phenomenology is intended to gently and patiently prepare us.

Once again, I take a deflationary approach to his rhetoric about “science” and “system”. In general with Hegel, rather than starting with ordinary assumptions about what his terms mean, it is best to interpret them in light of what he does. Here otherness provides a first thematic anticipation of the general point of view Hegel wants to recommend, and in particular of what is at stake in Hegelian “logic”, “science”, and “system”.

As a first approximation then, we have otherness expressed as the “element of knowing” that the Science of Logic will later develop, initially expressed by way of a contrast with a point of view centered on immediacy, familiarity, and representation.

There seems to be a kind of analogy between this contrast and what I read as the Phenomenology‘s other big contrast between the standpoints of consciousness and self-consciousness. I think Hegel’s view is that neither of these latter is ever found entirely independent of the other in real life, but at the same time that the alienation inherent to the relation of ordinary consciousness to objects is eventually to be overcome by dwelling primarily in what he calls self-consciousness and spirit. The higher phases of self-consciousness and spirit will be characterized by an openness to otherness.

The contrast between the feeling of otherness and those of familiarity and immediacy gives us a first starting point that we can grasp even within the standpoint of the most naive ordinary consciousness. The second contrast between the standpoint of otherness and the standpoint of representation brings this into sharper focus.

In the Preface, Hegel only hints at his very strong reservations about the place of representation in early modern mainstream views of knowledge such as those of Descartes and Locke. But in the Consciousness chapter of the Phenomenology, the alienated relation of consciousness to objects broadly captures aspects of the views of Descartes and Locke, who were the two great representationalist promoters of “consciousness” in philosophy (literally in Locke, and its ancestor French conscience in Descartes; see Consciousness in Locke and Hegel).

We cannot communicate without representation, any more than we can exercise higher functions without consciousness. But Hegel’s implicit critique of representation in the Preface and his more developed critique of consciousness in the Consciousness chapter together constitute a vital thread of his argument. His repeated warnings against taking “fixed thoughts” at face value and against taking propositions in isolation are closely tied to this.

Otherness challenges both fixed representations of thoughts and an overly fixed notion of self. Self from the perspective of otherness is a contextual, relational and adverbial term, not an independently contentful noun with a reference fixed once and for all (see The Ambiguity of “Self”).

What I think he is suggesting is a strong conclusion that in explaining meaning, we ought as much as possible to subordinate the point of view associated with representation, consciousness, objects, immediacy, and familiarity, rather than treating all of these as foundational touchstones.

What we ought to subordinate them to is developed throughout the rest of the Phenomenology, but especially involves the actualization of self-consciousness, and of forms of spirit that are not merely what he calls substantial, but are self-conscious, and thus for Hegel depend essentially on relations of mutual recognition.

A fully developed self-consciousness will be “at home” in otherness.

Here in the Preface, I think he is suggesting an argument complementary to that of the Phenomenology‘s main thread. In the Preface, the accent seems to be on knowing as such, whereas I take the overall thrust of the main thread to be primarily ethical in intent. Here too, at least in a general sense the Preface is closer to the concerns of what Hegel calls “logical” inquiry. The critique of the classic early modern concept of representation falls in this area.

Foundational uses of representation are based on strong presuppositions about the identity of represented things (the “fixed thoughts” to which Hegel is objecting). Representationalist theories of meaning focus on the ways in which representations are supposed to unambiguously refer to objects, which basically reduces meaning to a kind of implicit pointing at things that are presumed to be unambiguously identifiable. But this is a huge presumption that Hegel wants to question.

Alternatively, the meaning of representations can be explained in terms of form, value, internal structure, and inter-relations, all of which I think for Hegel are potentially articulable complete in themselves “in the element of otherness”, without any pointing or presumption required. Otherness thus appears to stand for coherence over reference and difference over identity in the explanation of meaning. Again, that is not to suggest that reference is absent, just that it ought not to dominate or primarily drive our explanations.

Finally, Hegel would remind us that even pure difference or pure coherence also needs to be considered from the point of view of its becoming and not just one static view. Otherness as an orientation toward difference and coherence in their becoming gives us a first approximation of the concerns Hegel means to bring to the fore when he speaks of dialectic. (See also Pure Negativity?; Teleology After Kant.)