Act in Process

At this point we are starting to sum up the results of Aristotle’s Metaphysics book Theta on potentiality and act. Aubry now makes a stronger statement that what it is in itself to be something in potentiality or in act can only be made clear by considering the relation between the two.

“In fact, and always in continuity with the analogy of Theta 6 [between various particular cases of something being in-potentiality and in-act], we begin by considering the relation of dunamis and energeia — that which, according to Theta 6, is the unique means of understanding these notions in themselves, but which also serves to justify the various equivalences posed by the analogy” (Aubry, Dieu san la puissance, 2nd ed., ch. 4, p. 135, my translation throughout, Becker number citations to the Greek text omitted).

“This relation is defined according to a triple anteriority: energeia is anterior to dunamis at once according to the formula, logoi; according to the substance, ousiai; and, but only from one point of view, according to time” (ibid).

“Of an individual in-act, one must say in effect that she is engendered from in-potentiality by another individual in act…. In-potentiality is no longer presented here as a principle of movement, but as a transitory state between two acts. And energeia in its turn is no longer identified with movement, but with the state of that which moves [something else], insofar as it is identical in form with the moved” (p. 136, emphasis in original).

This case applies to biological reproduction.

“Anteriority according to the formula is qualified as evident: it is in relation to act that one defines in-potentiality” (ibid).

“From [Becker index] 1050a4 on, we go on to explore the third relation of anteriority, that according to ousia [“substance”; what it was to have been a thing]. Here we are at the heart of Theta 8, and indeed of Theta in its entirety, since here the triple transition will be accomplished — from the kinetic sense to the ontological sense; from the model of the transitivity and the correlation of powers to the model of the dunamis–energeia correlation insofar as it applies to transitive change as well as to immanent change; and finally, from the model of efficiency to the teleological model.”

“The anteriority according to ousia is not initially given as an anteriority in the order of existence, but as an anteriority in that of form and of essence…. That which is anterior according to ousia is posterior according to generation: the adult is posterior to the infant…, even though in the latter is found the form that is not fully present. But this inversion from one order to the other is explained by the fact that the anteriority of act according to ousia is that of form as end: the act [the adult] is ‘that for the sake of which’ for generation.”

“Here we rejoin the analyses of books Zeta and Eta, where the substitution of the notion of act for that of form proceeds from the adoption of an etiological, and not only logical, point of view, by which the form is considered in its causal function, and envisaged as end” (ibid).

In a composite of form and matter, the form that is considered as end and not only “logically” will be in a sense identified with the composite as a whole, i.e., with the form as realized in matter.

“The anteriority of act according to ousia is that of the end, that is to say of the form as the term of a process that realized it in a matter — and indeed, in the composite that book Zeta qualifies as ousia malista [ousia most of all].”

“For it is this anteriority of act as end that provides the key to the necessary correlation of dunamis and energeia. One does not say only that energeia is to dunamis as that which builds is to the art of building, or as that which sees is to that which is given to view, but that it is for building that one understands architecture; for sight that one has sight; for contemplating that one has the power of contemplating. Act, from this point on, does not appear only as that in relation to which one defines power, but as that for which power is” (p. 137, emphasis in original).

She quotes Aristotle, “The act is the end, and it is in view of it that the power is acquired” (p. 137).

“We integrate here the results of Theta 7 for justifying the equivalence between matter and in-potentiality; for what justifies this equivalence is that the matter is teleologically determined by the form…. As at the end of book Eta, act serves here to name the unity realized from the matter and the form” (ibid).

Act serves “as another name for the ousia malista [ousia most of all] of book Zeta” (p. 138). And this is none other than the composite of form and matter.

“The ontological sense of energeia nonetheless is presented as being at the foundation of the kinetic sense; if movement can be called energeia, it is insofar as we take it as an index of being…. From now on, what justifies the equivalence between energeia and kinesis is that movement can also be telos. And if energeia and kinesis can be called entelekheia, it is not only in the sense where they name effective and complete being in opposition to the incomplete being that in-potentiality says, but because they name that being which, for in-potentiality, is its end” (ibid).

She quotes Aristotle, “For the ergon [completed work] is the end, and energeia is ergon. This is why the term energeia is derived from that of ergon, and tends toward entelekheia” (p. 139).

She continues, “Ergon thus intervenes as the mediation between energeia and telos, and indeed also between energeia and entelekheia. It was present, we saw, from the first lines of Theta 1, presented alongside dunamis and energeia as a sense of being. We find it also, in a sense at the same time normative and teleological, in the Protrepicus. The term serves here to allow the kinetic sense and the ontological sense of energeia to be unified, and at the same time to range the first under the second.”

“If it can play this role, it is thanks to the double sense that it carries: in fact, ergon signifies at the same time the proper function, understood as the act in which the essence is accomplished, and the oeuvre [completed work]. For the remainder of the text goes on precisely to distinguish between two kinds of act: one intransitive, in which nothing else is accomplished but itself, and the other transitive, which produces a being exterior to itself. To illustrate the first, one gives the example of vision, which is the ergon-function of sight, and serves in itself as a telos, an end; for the second, the example of the construction which, resulting in an ergon-work, the house, is only fully [an end] when taken together with the latter. From this we understand that movement can be called energeia: because it indeed has an ergon and a telos, which are not confused with it, but are its work, or that which it produces, and in which, thenceforward, we can say that it is.”

“In fact, ‘the action of building a house resides in the house that is built, and it comes to be and is at the same time as the house’. This affirmation can appear problematic at first glance: one tends spontaneously to distinguish the transitive activity from what it produces, and the being of the house from that of the movement of its construction, since the house only fully is when, precisely, the movement is no longer. We can nonetheless understand this in the light of the analysis of movement in Physics III, and of its characterization as the act common to the mover and the moved: Aristotle already affirmed that the ergon and the telos of the agent and the patient, or of the mover and the moved, reside in one sole and same energeia. In the same way, it seems that the phrase of Theta 8 has no sense unless by the house we understand not the completed house, but the house as object of the movement of construction. We thus understand that the act of construction comes to be at the same time as the house in the process of being constructed, since the two movements (construction/being constructed) are one. The work and the end of transitive activity do not reside in the achieved product, but in the production itself…. The distinction between immanent activity and transitive activity is no longer so great” (pp. 139-140, emphasis in original).

A being that is “in process” can also be an “achieved” being, in varying degrees insofar it also represents an incremental achievement.

“We have seen in effect that act was identical to form as the end and term of in-potentiality, indeed to the form as realized in a matter. If act is anterior to power from the point of view of ousia, this anteriority is not only the logical one of the form-essence and the ousia prote, but also that of substance and ousia malista” (pp. 140-141).

Here we see Aristotle’s strong vindication of immanence and concrete being. Ends — and indeed “perfection” according to a particular kind — are intended to be understood as realizable in form and matter. This is far indeed from the perspective that all finite things necessarily fall infinitely short of a perfection conceived as infinite. For Aristotle, the highest being will be characterized not as infinite, but as pure act and as the good.

Next in this series: Act as Separable

Foucault on Power

“Power’s condition of possibility… must not be sought in the primary existence of a central point, in a unique source of sovereignty from which secondary and descendent forms would emanate; it is the moving substrate of force relations which, by virtue of their inequality, constantly engender states of power, but the latter are always local and unstable. The omnipresence of power: not because it has the privilege of consolidating everything under its invincible unity, but because it is produced from one moment to the next, at every point, or rather in every relation from one point to another. Power is everywhere, not because it embraces everything; but because it comes from everywhere…. One needs to be nominalistic, no doubt: power is not an institution, and not a structure; neither is it a certain strength we are endowed with; it is the name that one attributes to a complex strategical situation in a particular society” (Foucault, History of Sexuality vol. 1, p. 93).

“I’d like to mention only two ‘pathological forms’ — those two ‘diseases of power’ — fascism and Stalinism. One of the numerous reasons why they are, for us, so puzzling is that in spite of their historical uniqueness they are not quite original. They used and extended mechanisms already present in most other societies. More than that: in spite of their own internal madness, they used to a large extent the ideas and the devices of our political rationality” (Foucault, “The Subject and Power”).

Foucault in his earlier “archaeological” stage made an enormous impression on me in my youth. He began by questioning the tendency to assimilate similar or similarly named concepts from different times and places in history, as if the “same” concepts were always continuously at work. The metaphor of “archaeology” emphasizes a patient analysis of concrete raw materials of historical evidence as a kind of artifacts, with an emphasis on highlighting their diversity, over traditional history writing’s rush to construct simple, continuous, and uniform historical narratives. Larger historical unities — either the alleged uniformity of culture and attitudes at a given time and place, or alleged continuities of identical concepts persisting across time and space — should be established by evidence, and not simply assumed based on conventional wisdom or uses of the same words.

Later he turned to a series of works more concerned with power and the constitution of human subjectivity. First he emphasized that power is not a matter of formal or institutional authority. Power for Foucault is not something that could be a possession; it exists only in its exercise. Next he criticized the reduction of power to its overtly repressive aspects, recommending instead a “microphysics” that focuses on what in popular discourse is sometimes called “power to” as opposed to “power over” — a positive rather than a negative notion of power. Finally he began to say that there is really no such thing as power, and what matters is the way subjects are constituted through “technologies of the self”. The primary way that social control is effected, particularly in modern Western societies, has less to do with symbolic spectacles of extreme violence than with the very formation of our personal identities. (See also Ethos, Hexis.)

One way these developments might be summarized is to say that power for Foucault is something emergent and not something originary: “power”, whatever it is, is a result, and not a cause. Power is not a magical power emanating from a source that somehow directly affects things, but a way of describing aspects of concrete relational situations.

Aristotle too tells us that power is not a cause in a primary or ultimate sense. It may provide a relative “reason why” in particular cases, but ultimately it is something to be explained, rather than being an ultimate explainer.

Intangible Truth

Hegel wants to teach us to put aside the prejudice that a truth must be something “tangible” or discrete in itself, and thus capable of being viewed in isolation, in the way that a Platonic form is commonly supposed to be. He says that ordinary logic already gives us a clue to an alternate view of truth. Indeed, Plato’s own literary depictions of Socratic inquiry and dialogue already suggest a deeper notion of essence and truth than is promoted by standard accounts of Platonic forms.

“The Platonic idea is nothing else than the universal, or, more precisely, it is the concept of the subject matter; it is only in the concept that something has actuality, and to the extent that it is different from its concept, it ceases to be actual and is a nullity; the side of tangibility and of sensuous self-externality belongs to this null side. — But on the other side one can appeal to the representations typical of ordinary logic; for it is assumed that in definitions, for example, the determinations are not just of the knowing subject but are rather determinations of the subject matter, such that constitute its innermost essential nature. Or in an inference drawn from given determinations to others, the assumption is that the inferred is not something external to the subject matter and alien to it, but that it belongs to it instead, that to the thought there corresponds being” (Science of Logic, di Giovanni trans., introduction, p. 30).

There is a glimmer of a deeper truth even in the naive belief that ordinary logic can tell us about how the world really is (not of course how the world is, full stop, just some important things “about” how it is). What we infer by a good inference is at least as real as whatever is intuitively present to us. Neither of these is an infallible source of knowledge. Hegel’s main point, though, is that being immediately present to us is not a criterion of deeper truth.

He continues, “Everywhere presupposed by the use of the forms of the concept, of judgment, inference, definition, division, etc., is that they are not mere forms of self-conscious thinking but also of objective understanding” (ibid).

This leads to a criticism of Kant, which implies that Kant’s famous critique of dogmatism remains incomplete.

“Critical philosophy… gave to the logical determinations an essentially subjective significance out of fear of the object…. But the liberation from the opposition of consciousness that science must be able to presuppose elevates the determination of thought above this anxious, incomplete standpoint” (ibid).

The “opposition of consciousness” Hegel speaks of is its division into subject and object. For Kant, this distinction is interwoven with what Kant takes to be an uncrossable gap between knowledge on the side of the subject, and being on the side of the object. Hegel argues that we can avoid the dogmatism Kant means to criticize, without positing an uncrossable gap between knowledge and being. For him, the works of Aristotle are decisive proof of this.

Kant seeks to ensure the avoidance of dogmatism by treating logical determinations exclusively as attitudes actively taken up by a thinking being. Hegel points out that this leads inevitably to the unknowability of the Kantian thing-in-itself. In Kant, these are two sides of one coin. Thus cut off from logical determination, the thing-in-itself can only be unknowable, just as Kant says it is. According to Hegel’s analysis yet to come, meaning is grounded in judgments of determination, and so to be cut off from determination is to be devoid of meaning.

In criticizing Kant on this score, Hegel speaks of a Kantian “fear of the object”. Elsewhere he specifies that what is wrong with the Kantian thing-in-itself has nothing to do with its resemblance to a kind of essence, but rather with the putative self-containedness of that essence, and with the fact that for Kant the true essence is unknowable as a matter of principle.

Leibniz had earlier concluded that in order for the world to be intelligible in terms of self-contained essences or monads, each monad had to include within itself a microcosmic mirror of the entire universe and all the other monads, each of which also includes all the others, and so on to infinity. For Leibniz, things in the world are really only related to one another indirectly, via their individual immediate relations to God. God is ultimately the entire source of the world’s coherence.

At the very beginning of his career, Kant had argued against Leibniz that interactions and inter-relations between things are real and not just an appearance. The world therefore has a kind of objective coherence in its own right. This is a stance that Aristotle clearly would endorse.

Hegel strongly agrees with Kant on this, but thinks that Kant did not take his critique of Leibniz far enough. (I don’t mean to identify Kant’s critique of dogmatism with his earlier critique of Leibniz, only to suggest that there is a connection between the two.) Hegel in effect argues that no essence is ever really self-contained, and that once we also drop the Leibnizian notion that essences are each supposed to be self-contained in splendid Hermetic isolation, there is nothing left in Kant’s philosophy that would require them to be unknowable as a matter of principle.

Dogmatism for Hegel refers — as it also implicitly would for Plato and Aristotle — to any claim that we somehow know the things we believe to be true, when in reality the basis of our belief is potentially refutable. Dogmatism is claiming the necessity characteristic of knowledge for conclusions that Aristotle would at best call merely probable.

(For Aristotle, “necessary” is just a name for whatever always follows from certain premises; “probable” is the corresponding name for what follows most of the time. Whether or not something always follows is a disputable question. New information might require that we re-classify what previously seemed to be a necessary conclusion as a merely probable one. I would add that what therefore seemed to be knowledge — because it seemed to follow necessarily — may turn out to be only a relatively well-founded belief. Individual humans do have genuine knowledge, but no individual knower can legitimately certify herself as a knower in any specific case.)

(Beyond this, even the historic mutual recognition of any individual concrete community can also turn out to be seriously wrong on particular matters. Widespread and longstanding social acceptance does not guarantee that certain things that are believed to be known are not just shared prejudice. Just consider the history of inferences from race, sex, religion, etc., to characteristics claimed to hold for all or most individuals subject to those classifications.)

(This does not mean we should indiscriminately throw out all claims that are based on social acceptance. That would result in paralyzing skepticism. To avoid dogmatism, we just have to be open in a Socratic way to honestly, fairly examining the basis of our beliefs about what meaning follows from what other meaning, in light of new perspectives. For what it’s worth, I say that once exposed to the light, prejudice against people based on shallow classification of their “kinds” can only be perpetuated through — among other things — an implicit repudiation of fairness and intellectual honesty in these cases.)

(Hegel the man was not immune to the various social prejudices of his time and place. According to his own philosophy, we would not expect him to have been. Outside the context of his main philosophical works, he is recorded to have made a few utterly terrible prejudiced remarks, and a number of other bad ones. In cases like this, we should give heed to the philosopher’s carefully developed philosophical views, and blame the time and place for the philosopher’s spontaneous expression of other particular views that seem out of synch with these. Every empirical community’s views are subject to adjudication in light of the ethical ideal of the truly universal community of all talking animals. The core of Hegel’s philosophy provides unprecedented resources for this.)

Kant’s own response to the issue of dogmatism is to maintain that strictly speaking, certainty and necessity apply only to appearances, which he does understand in a relational manner, but not to the things-in-themselves, which — following Leibniz — he still regards as self-contained and therefore non-relational.

Kant and Hegel seem to share the view that the very nature of necessity is such that it applies to things only insofar as they are involved in relations, and is only expressible in terms of relations. Where they differ is that Hegel sees not only appearances but also reality itself fundamentally in terms of relations.

For Hegel, there is no self-contained “thing in itself”, because the world is made up of what things are “in and for themselves”. Hegel introduces the notion of what something (relationally) is “for itself”, in the context of a reflective concept, and precisely as an alternative to the still-Leibnizian self-containedness of the Kantian “in itself”. What things really are “for themselves” turns out to undo the assumption of their essences’ self-containedness.

Reflection, Judgment, Process

Reflection is a key concept both for later Kant and for Hegel (see, e.g., Reflection, Apperception, Narrative Identity; More on Contemplation). We have seen that it led Kant to deepen the notion of judgment he had already used in the Critique of Pure Reason, giving more explicit attention to what I have called the process of interpretation, in contrast to the eventual conclusions that had been the exclusive preoccupation of early modern logic. He had already criticized the latter for confusing judgment with predication.

When judgment is identified with simple predication, the process of interpretation entirely disappears. Indeed, both early modern and contemporary formal logic are explicitly concerned with mechanical syntactic manipulation of uninterpreted terms.

Kant’s narrower point in the first Critique had been that only categorical judgments (those having the simple form A is B) can be analyzed as linguistic predications. Against the early modern tradition, Kant pointed out that neither hypothetical judgments (if A then B) nor disjunctive judgments (if A then not-B) can be understood in this way.

Whereas the early modern tradition strongly privileged categorical judgments, taking simple predications straightforwardly as simple assertions, Kant argues that hypothetical and disjunctive judgments have at least equal significance for thought, if not more. Hypothetical and disjunctive judgments are irreducibly inferential, as can be seen from the presence of “if” and “then” in their forms. What Kant suggests about this in the first Critique is that the inferential aspect of judgment is more fundamental than its assertive aspect. Brandom makes the further suggestion that the kinds of inferences Kant is primarily concerned with in this context are informal “material” inferences, which are grounded in the meanings of terms rather than in formal syntax.

With the enhanced concept of reflective judgment developed in the Critique of Judgment, Kant begins to take an even wider range of interpretive processes into account in his view of judgment overall. Reflective judgment is primarily focused on the process of interpretation, though it also reaches conclusions. This makes the contrast between Kantian judgment and judgment in early modern logic even more profound. Early modern logic codifies a “conclusory” notion of judgment grounded in simple assertion, and makes the formal manipulation of such assertions the paradigm for all reasoning. Kantian judgment on the other hand begins as primarily inferential, and comes to emphasize the wider, open-ended, reflective process of interpretation.

The “logic of being” that Hegel presents as a kind of necessary preliminary failure in his Logic is precisely the logic of simple assertion. From any arbitrary assertions, we can deductively generate more assertions that will be consistent with these, and we can classify other assertions according to whether they are consistent with the accepted ones or not. But Hegel is concerned with the possibility of genuine intelligibility and knowledge. Starting only from mere assertions, we can never reach these. The most we can achieve is some kind of relational discrimination between the implications of different assertions, whose meaning is merely assumed.

Kantian reflection is the main theme of Hegel’s “logic of essence”. Hegel’s conclusion is that the ultimate ground of essence is none other than pure reflection, which embodies a kind of reflective infinity of mutually referencing relations, that presupposes no fixed terms. Essence, as a kind of deeper truth of things than the shallow one of logical consistency alone, is not based on “fixed” concepts of the sort that are always assumed in formal logic. Rather, essence for Hegel is grounded in reflection all the way down, which we can pursue as deeply as we like. Socratic inquiry can be seen as a foreshadowing of this.

I see an important parallel to book Lambda of Aristotle’s Metaphysics here. There, the ground of the what-it-is of things is the pure contemplation of thought thinking itself. In other words, the ground of essence is pure reflection, just as Hegel says. The pure actuality or pure entelechy of Aristotle’s first cause is an actuality or entelechy of what Hegel calls pure reflection.

A major difference between Aristotle’s first cause and ourselves, as I read it, is that the purity of the first cause makes it only concerned with essence or deep truth, whereas we rational animals also live in a world of appearances, and therefore also have to deal with these. Because we live in a world of appearances, we humans have a need for judgment that Aristotle’s first cause does not share.

In the “logic of the concept” with which he concludes his Logic, Hegel gives a thoroughly Kantian treatment of judgment, effectively identifying all judgment with reflective judgment in Kant’s sense. If the logic of essence was concerned with the objective determination of essence from pure reflection, the “subjective” logic of the concept is concerned with applying reflection to particular appearances that we encounter in life. This is something we rational animals have to do that Aristotle’s first cause does not.

Pure reflection is a kind of ideal thing that is analytically separable from process, but the kind of reflection that we embodied beings engage in only occurs as part of a concrete process that involves particular appearances and development in time.

New State Not a Change?

“Of all cases it would be most natural to suppose that there is alteration in figures and shapes, and in states and in the process of acquiring and losing these; but as a matter of fact in neither of these two cases is there alteration” (Aristotle, Physics book VII ch. 3, Collected Works, Barnes ed., vol. 1, p. 412).

What the translator calls a matter of fact, I would call a matter of terminology. All specialties tend to develop their own terminology, and philosophers do likewise. Aristotle uses many Greek terms with meanings that were already specialized in his day. Modern disciplines and common speech have evolved their own choices using different criteria.

“[T]here is alteration only in things that are said to be affected in their own right by sensible things…. For when anything has been completely shaped or structured, we do not call it by the name of its material: e.g. we do not call the statue bronze or the candle wax or the bed wood, but we use a paronymous expression and call them brazen, waxen, and wooden respectively. But when a thing has been affected or altered in any way we still call it by the original name: thus we speak of the bronze or the wax being fluid or hard or hot…, giving the matter the same name as the affection” (ibid).

Aristotle makes his usual semantic distinction between the matter, the form, and the composite of both. He wants to specialize the term that is translated as “change” or “alteration” to apply only to the matter, and to use different locutions with regard to the form and the composite.

“Again, states, whether of the body or of the soul, are not alterations. For some are excellences and some are defects, and neither excellence nor defect is an alteration: excellence is a perfection (… since it is then really in its natural state: e.g. a circle is perfect when it becomes really a circle and when it is best), while defect is a perishing of or departure from this condition. So just as when speaking of a house we do not call its arrival at perfection an alteration…, the same holds good in the case of excellences and defects and of the things that possess or acquire them” (ibid).

As we might also anticipate, he strongly emphasizes a teleological and normative perspective on these matters.

“Further, we say that all excellences depend on particular relations. Thus bodily excellences such as health and fitness we regard as consisting in a blending of… elements in due proportion, in relation either to one another within the body or to the surrounding; and in like manner we regard beauty, strength, and all other excellences and defects. Each of them exists in virtue of a particular relation and puts that which possesses it in a good or bad condition with regard to its proper affections” (pp. 412-413).

Most fascinating of all is this emphasis on particular relations. Good and bad conditions are explained in terms of these.

“Since, then, relatives are neither themselves alterations nor the subjects of alterations or of becoming or in fact of any change whatever, it is evident that neither states nor the process of losing and acquiring states are alterations, though it may be true that their becoming or perishing, like that of form and shape, necessarily involves the alteration of certain other things…. For each defect or excellence involves a relation with those things from which the possessor is naturally subject to alteration: thus excellence disposes its possessor to be unaffected or to be affected thus and so, while defect disposes its possessor to be affected or unaffected in a contrary way” (p. 413).

Relations in themselves are static abstractions of conditions. But some of the things involved in these relations are subject to change or alteration. This is a sophisticated way of approaching the matter.

“And the case is similar in regard to the states of the soul, all of which too exist in virtue of particular relations…. Consequently these cannot be alterations either, nor can the process of losing and acquiring them be so, though their becoming is necessarily the result of an alteration of the sensitive part of the soul, and this is altered by sensible objects…. Consequently, although their becoming is accompanied by an alteration, they are not themselves alterations” (ibid).

States of the soul are to be viewed in this relational way. Their becoming is said to be accompanied by an alteration, not itself to be an alteration.

“And again, the states of the intellectual part of the soul are not alterations; nor is there any becoming of them. For the possession of knowledge most especially depends on a particular relation” (ibid).

Knowledge also “most especially” involves being in a particular relation. It is not just the possession of some content.

“It is evident, then, from the preceding argument that alteration and being altered occur in sensible things and in the sensitive part of the soul and, except accidentally, in nothing else” (p. 414).

Force and Understanding

After Perception, Hegel discusses what is basically the attitude of mathematical physics. Harris in his commentary notes that Hegel is much more sympathetic to natural science than some of his supporters have seemed to recognize. Hegel accepts mathematical physics as an authoritative account of the physical world, and is impressed by the concept of mathematical natural law.

More generally, this is where Hegel introduces what he calls Understanding, which seeks to give a fully univocal (thus also formalizable) account of things. Understanding will have permanent value in securing definiteness and discipline of thought. Hegel often makes sharp remarks about its limitations, so it is important to recognize that he also respected its strengths.

Perception already took a relational approach to the properties of things, but still held fast to the idea that its objects were independent things. Newton’s concept of force as characterized by mathematical law effectively takes a relational approach to determination in the physical world as a whole. Mechanics treats force subject to mathematical laws as the objective reality underlying the world of Perception and “things”, which it treats as Appearance rather than an immanent truth.

Force for Hegel is a supersensible rational construct. For the Newtonian physicist, it is a supersensible reality. Hegel approves of the physicist’s recognition that sensible reality is not all there is, and applauds what he sees as the physicist’s thoroughgoing relational approach. His main caveat is just that what the physicist sees as an independent physical necessity that is only described by mathematics, Hegel see entirely in terms of the formal necessity of the mathematics and logic used in the physicist’s theory.

This concludes the “Consciousness” section of the Phenomenology, where “consciousness” for Hegel is the attitude that treats objects and objectivity in a “pre-Kantian” way, as just being out there. The physicist’s thoroughly relational approach to the external world takes this to its highest sophistication. What remains is to examine the ways in which there is actually continuity and reciprocity between “us” and the world we inhabit, and the role that we play in its development.

Next in this series: Toward Self-Consciousness