brandom/hegel/downloads/FU notes 1… · Web viewReciprocal Action, the Play of Forces [141]-[142]...

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Brandom 9/28/2010 Force and Understanding Notes Outline of Force and Understanding : I. Overview [132]-[135] II. Force [136]-142] a) Force and its Expression [136]-[137] b) Independent Opposing Forces [138]-[140] c) Reciprocal Action, the Play of Forces [141]-[142] II. Law, the Supersensible World, and Explanation [143]-[155]. This is the First Supersensible World (FSW). III. The Inverted World [156]-[160]. This is the Second Supersensible World (SSW) and the First Inverted World (FIW). IV. The Infinite [161-165]. This is the Third Supersensible World (TSW) and the Second Inverted World (SIW). Expository plan for seminar: Start with FSW, as in (3). Then look back to the discussion of Force and Law, to get the FSW as a “calm realm of laws.” 1. The topics of this section are: a) Theoretical entities, that is, ones that are only accessible inferentially. We have moved to these from the sense universals (observables) of Perception, where we discovered that their inferential articulation is essential to them. Now we consider universals purged of that immediacy. Note that in discussing theoretical, postulated (posited), entities generally in terms of the concept of force we see the first example of Hegel’s conceptual allegory (cf. the characters in A Pilgrim’s Progress). The discussion of force is the first place it 1

Transcript of brandom/hegel/downloads/FU notes 1… · Web viewReciprocal Action, the Play of Forces [141]-[142]...

Brandom

9/28/2010

Force and Understanding Notes

Outline of Force and Understanding:I. Overview [132]-[135]II. Force [136]-142]

a) Force and its Expression [136]-[137]b) Independent Opposing Forces [138]-[140]c) Reciprocal Action, the Play of Forces [141]-[142]

II. Law, the Supersensible World, and Explanation [143]-[155]. This is the First Supersensible World (FSW).

III. The Inverted World [156]-[160]. This is the Second Supersensible World (SSW) and the First Inverted World (FIW).

IV. The Infinite [161-165]. This is the Third Supersensible World (TSW) and the Second Inverted World (SIW).

Expository plan for seminar: Start with FSW, as in (3). Then look back to the discussion of Force and Law, to get the FSW as a “calm realm of laws.”

1. The topics of this section are:a) Theoretical entities, that is, ones that are only accessible inferentially. We have moved

to these from the sense universals (observables) of Perception, where we discovered that their inferential articulation is essential to them. Now we consider universals purged of that immediacy.

Note that in discussing theoretical, postulated (posited), entities generally in terms of the concept of force we see the first example of Hegel’s conceptual allegory (cf. the characters in A Pilgrim’s Progress). The discussion of force is the first place it is convenient to discuss my allegory methodology for reading the Phenomenology. Must read claims at two levels:

Specifically, about Newtonian force, and Generically, about theoretical concepts and entities.

a. is allegorical, or within the allegory.b. Is what it is allegorical for, outside, in the target of the

allegory.Thus, e.g. “expression of force” is observable consequence of theoretical states of affairs, and “play of forces” is interaction of purely theoretical states (e.g. not with observables). Q: What of “opposing forces”?

b) The status of modal claims, above all, statements of laws. These make explicit the inferential-conceptual articulation of universals: the relations of material consequence

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and incompatibility that articulate their determinate content. In earlier notes I emphasize that there are two things at issue here: alethic modal relations such as laws and semantogenic relations. Hegel is, of course, identifying these—as Kant did before him, and Sellars would do after him.

c) Holism

2. From Force to Law :a) Force and its Expression : The first dialectic begins with the fact that a single

unobservable state of affairs has a multiplicity of observable effects, consequences, manifestations, or expressions. “[I]t is necessary that Force...express itself” [136]. Here the point is that we must infer to the force from its observable expressions. But what is responsible for the variety of expressions? Other forces. This moves us to:

b) Independent opposing forces : It must be the relation of one unobservable state of affairs to some other unobservable state of affairs that is responsible for the diversity of manifestations that it has, the variety of actualities that can express the possibility that it is. “What appears as an 'other' and solicits Force, both to expression and to return to itself, proves to be itself Force...”[138] From our phenomenologically lofty vantage point we can see that although at this second stage progress has been made in addressing the felt difficulty with which we began, that, namely, of accounting for the diversity of expression, the way in which each single unobservable unfolds itself into a variety of effects, a difficulty remains. For the various forces or theoretical objects are conceived as "wholly independent forces" ([138], see also references to independence in [140] and [141]). . What the notion of opposing forces has revealed is the essential interdependence of the various theoretical postulates that a theory endorses. Explicit attention now shifts from the moment of mutual independence of theoretical entities to their reciprocal action--the 'play of forces'.

c) The play of forces: The lesson is a holist one: [T]heir essence rather consists simply and solely in this, that each is solely through the other...[141]

Where we started out considering what is immediately given to us in perception as an object of knowledge, we are now obliged to consider its role as a means by which we can come to know about something that is not itself immediate. Instead of focusing on the noninferential process from which it perceptual knowledge results, we focus on the inferences it supports: looking downstream rather than upstream. Doing this is thinking of immediacy as mediating our access to theoretical objects, by providing premises from which facts about them can be inferred. Since they point beyond themselves inferentially, besides being whatever they are immediately, noninferentially observable states of affairs serve also to manifest or reveal other states of affairs, including theoretical ones, which are only accessible by means of such inferential mediation.

This is the relation Hegel talks about under the heading of “force and its expression” [Äußerung]—the relation, namely, between a theoretical object and its observable manifestations. Expression, making the implicit explicit, is one of Hegel’s master

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concepts. It is (among other things) his preferred way of thinking about the relation between what we are thinking about and what we think about it.

The first development of the crudest conception consists in the move to considering “independent opposing forces” and then “reciprocal action or the play of forces”.1 It is the dawning appreciation of the holistic nature of the inferences that connect us to theoretical objects. Since our only access to these objects is by means of their inferential connections, our grasp of the content of one theoretical claim cannot be independent of our grasp of other contents that stand to it in material inferential and incompatibility relations.

the fact that forces are only mediately (inferentially) accessible to us, while their expressions can be immediately (noninferentially) accessible to us must not be taken to imply that these two sorts of thing are intelligible independently of one another.

So we consider what happens when the restriction to observable objects is removed—that is, when the idea is generalized from applying to objects of perception to objects of thought in general. The result is the thought that it is the relation of one Force to others that is responsible for the diversity of its manifestations.

The conception of what is immediately observable as the joint manifestation of a “play of forces” accordingly incorporates a certain sort of holism about the theoretically postulated entities: “their essence consists simply and solely in this, that each is solely through the other.”2 Hegel uses an explicitly inferential idiom, whose home language game is discussion of syllogisms, to express the holistic nature of the essentially interacting theoretical entities. The forces “do not exist as extremes which retain for themselves something fixed and substantial, transmitting to one another in their middle term and in their contact a merely external property; on the contrary, what they are, they are only in this middle term and this contact.”3

If no identity or difference, no individual or its relation to others, is intelligible prior to any other, how is any identity or difference constituted? “They have, thus, in fact, no substances of their own that might support and maintain them.”4 It seems that something determinate needs to be fixed first, to get the whole scheme off the ground. This is what one might have hoped that immediacy would supply. (Thus Quine conceived his holistic web of belief as ‘anchored’ at its edges by perceptual experience, construed as deriving its content noninferentially, from the pattern of stimulations of sensory surfaces that elicit them.) But this is just what the discovery of the essential, and not just accidental, inferential articulation of the determinate content of the immediate deliverances of sense debars.

1 Force and its expression are discussed at [M136-7]. Before going on to the crucial discussion of the significance of the play of forces (at [M141-2]), he discusses supposedly independent opposing forces (at [M138-40]) as ‘soliciting’ of and ‘solicited’ by each other. By the end of the Phenomenology, we are supposed to be able to see such ‘solicitation’ as a crude natural reflection of recognition relations among self-conscious individuals.2 [M141].3 [M141].4 [M141].

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[My holism story here.]

d) Law : For with the realization that necessitation is the essence of force, the issue of the explanation of appearance is explicitly raised.

e) There is an important connection between:a. Giving immediacy a new role, by focusing on its consequences, hence it as

revelatory of theoretical (which is not equivalent to real, but can be real), i.e. what is not available as non-inferentially elicited. (Also, and related, as place-holder or vehicle of content, cf. holism and chicken-and-egg problem.) and

b. Concern with laws, first as they codify bridge principles connecting observation and theory, and also inter-theoretic entity consequences.

From Law to the FSW:

1) The actual, observable manifestations of theoretical objects—the products of the play of forces—serve for the Understanding only as premises, from which to make inferences about the objects whose interactions they express. These are objects individuated solely by the inference-supporting laws they are subject to. The true essence of this first conception of the supersensible world is taken consist in those laws: the “calm realm of laws”. Immediacy ‘vanishes’ for the Understanding in playing only this mediating role.

1) For Hegel the contingency expressed by synthetic judgments is incorporated into the (therefore) determinate necessity of concepts (in Kantian terms, into the rules for making judgments) by the joint evolution of doxastic commitments (judgments) and inferential commitments (concepts) that results from extracting hitherto implicit inferential consequences of the judgments and concepts one finds oneself with, and adjusting both sorts of commitments in the light of the materially incompatible commitments that emerge as their consequences. In the same way the deliverances of immediacy (all of which will be synthetic judgments in Kant’s sense) are incorporated into the mediated structure of concepts. Talk about the goodness of inferences and talk about the contents of concepts are two sides of one coin. But what follows from what depends on what else is true. So the contents of concepts must not be thought of as settled independently and in advance of consideration of actual judgments and inferences they figure in.

2) Hegel thinks that adequate conceptions of form and content, of identity and difference, cannot be adumbrated in advance of consideration of their role in explicating features of this evolutionary developmental process. Concepts are not to be thought of (as for Kant) just in terms of their role in judgment.

First, we must think of their inferential potential.

Second, we must think of that potential as actualized by combining those inferential commitments with doxastic commitments (judgments, including synthetic ones) in

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multipremise inferences that may yield discordant (materially incompatible) conclusions.

Then we must think of the broadly inferential commitments implicit in concepts as revisable in the light of those conclusions they actually lead us to, in concert with the doxastic commitments we actually undertake.

Finally, we must identify concepts with the second order potential to develop (in the context of other concepts and judgments) their contents by this process. At this point we will be thinking of concepts as having Hegelian negativity as their form: as having their determinate identity consisting in the way they develop by giving rise to differences. The developing whole of holistically related inferential and doxastic commitments, concepts and judgments, Hegel calls “the Concept”. In calling it “infinite” at the end of his discussion of Force and Understanding, he is marking the conceptual shift he is urging from the atomistic Kantian picture of antecedently determinate concepts, each one what it is independently of its relation to any different concepts, only externally related to those others in synthetic judgments whose truth is irrelevant to the content of any concepts. It is the shift from conceiving concepts according to the categories of Verstand to using those of Vernunft.

Pitch the story about how we need to radicalize Kant’s thought that concepts are functions of judgment, by moving to include in the functional system that holistically defines them-- inferences the judgments are involved in, and then the process by which judgments and inferential commitments are groomed by the experience of error—as the resolution of the dilemma about whether F=ma is a definition, hence supporting no real explanations, but articulating semantic content, or relates antecedently determined distinct contents (which seems then to push us towards thinking with Kant that it is something about our Understanding that establishes whatever connection there is). This is in (9) below.

3) Hegel summarizes this development:In this way there vanishes completely all distinction of separate, mutually contrasted Forces, which were supposed to be present in this movement…Thus there is neither Force, nor the act of soliciting or being solicited, nor the determinateness of being a stable medium and unity reflected into itself, there is neither something existing singly by itself, nor are there diverse antitheses; on the contrary, what there is in this absolute flux is only difference as a universal difference, or as a difference into which the many antitheses have been resolved. This difference as a universal difference, is consequently the simple element in the play of Forces itself and what is true in it. It is the law of Force.5

By ‘law’ Hegel means what Kant meant: a rule that has objective validity. A rule unifies a diverse set of instances, by applying to all of them. So we are now to look at the rules that relate theoretical objects to each other and to their observable expressions.

5 [M148].

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4) The essence of the play of forces now appears in the form of the objective rules that govern it. Three features of these laws merit mention.

First, as rules, they are general: they apply to many actual and possible instances.

Second, they are conditional or consequential: they say that if a specified condition is satisfied, then a consequence of a definite sort will occur. This is to say that the laws codify inferences.

Third, the laws specify the ways in which the occurrence of one theoretical state of affairs can (in context) necessitate the occurrence of another: they have a modal force. This is to say that they do not just specify what is in fact the case, but rather what would happen, or must happen if a state of affairs of certain kind were to occur.

5) We can think about the various conceptual points that have been made in the discussion of Consciousness in terms of the kinds of logical vocabulary that have been discovered to be necessary to make explicit what is implicit in ordinary empirical knowledge claims. Besides the demonstratives, with which we began as the basic way of trying to say what is meant in immediate experience, we discovered that we need also anaphoric pronouns, to make it possible to hold onto and recollect what is indicated by the demonstratives: to make what is presented available for inference. Singular terms, predicates, and negation then turned out to be needed to articulate the propositional content of simple observations. It now emerges that quantifiers (for generality), conditionals (for the consequential element), and modal operators (for necessity) would be needed as well, to make explicit the inferential connections that relate observational and theoretical concepts—that is, to state laws.

6) A law, as statable, is a kind of superfact. As a result, the concept of law still incorporates a conception of the determinateness of conceptual contents that is structured by categories of independence. No judgment, including one that states a law, can be thought of as simply true or false, so long as the concepts it employs are defective. But they will be inadequate so long as they contain the potential, when properly applied in concert with others to which they are inferentially related, to lead in empirical circumstances to incompatible judgments. But that holistic potential is not a merely regrettable, because dispensable, feature of the employment of empirical concepts. For Hegel, as we are aiming to put ourselves in a position to see, that residual ‘negativity’ of such concepts not only provides the normative motor for conceptual and doxastic change, and thereby the mechanism whereby immediacy and contingency are incorporated into concepts—mediated and given (made to have) the form of necessity—but is what determines the content of such concepts, and so constitutes their determinateness. So statable rules, even lawlike claims that codify proprieties of inference, are the wrong sort of unit to look to for a solution to the unity-in-difference problem raised by acknowledgment of the essential contribution made by inferential relations to other concepts in the constitution of the content of one concept. For such rules or laws still presuppose, rather than articulate the nature and conditions of the intelligibility of, the determinately contentful concepts in terms of which they are formulated.

7) Reflection on the role of the realm of laws reveals that the concept of law is doing two different things, that two different conceptions of law are really in play. (Compare the

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'doubling' of forces into unifying force whose expression is solicited and diversifying force that solicits that expression.) On the one hand law is the principle of unity, of the unification of diverse appearances by exhibiting them as necessary, that is as instances of a rule that necessitates them. This is law as the principle of lawlikeness, law as the abstract form of law.6 It is the principle that ultimately demands the unity of science, what appears in Kant's philosophy of science as the ideal that science form a system, that all laws eventually be capable of being exhibited as consequences of one law. Otherwise the realm of law, which unifies diverse appearances, itself contains an irreducible contingency and diversity of laws. On the other hand, laws must have determinate content, if they are to unify the restless particularity of phenomena by exhibiting their connection as instances of rules. Explanation cannot proceed according to empty or contentless laws, but requires determinateness and content. For us, but not for the consciousness undergoing this experience, this splitting of the realm of laws into a unifying principle or form and a set of diverse, determinately contentful particular laws manifests the requirement that anything with determinate content acquire that content in virtue of its role in a Notion, a system of relative identities constituted by their relative differences. This principle arose for us already in the exposition of perceiving consciousness. Law as unity must have diversity within itself if it is to have content. It cannot be purely diverse if it is to be able to perform its unifying function. So law is seen to 'double' itself, just as force did, when the idea of its confrontation with an 'other' is reflected upon, and its implicit presuppositions made explicit.

8) The final movement of understanding consciousness operating according to the conception of supersensuous, necessitating law unfolds the consequences of the demand for determinate content in the laws appealed to by explanation. Explanation, which "condenses the law into Force as the essence of the law," finding in things a "ground constituted exactly the same as the law".7 With the concept of explanation necessity becomes not an abstract form or principle divorced from the determinate contents of the laws that govern actual appearance, but rather a feature inherent in those laws themselves.

9) Consider Newton's fundamental law F=ma. Is this a definition, say of force? If it is, then we can understand how it has the special status marked by calling it 'necessary'. But in that case the distinctness of force from mass and acceleration is merely apparent. Explanation by appeal to such an analytic 'law' then seems to be a cheat, a trick. For it just consists in exhibiting or asserting the necessary interrelation of things that only appear to be distinct. On the other hand, if this claim is not analytic, that is, if force is not being defined as the product of mass and acceleration, then the explanatory invocation of this law would not be misleading, and we would really learn something from it. But how in that case are we to understand the alleged necessity of the law? What does it mean to say that things that are really distinct are also necessarily related to one another? Here, of course, Hegel is asking Hume's question. How is it possible to make sense of a natural necessity that does not collapse into uninformative analyticity or empirical contingency?

10) On the first horn of the dilemma, explanation appears as consciousness recognizing as necessary connections between elements that are distinct only as consciousness has divided them up in appearance. Here once again the supersensible in itself is conceived as a unity,

6 [M150].7 [M154].

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with diversity being merely an appearance for consciousness. On the second horn of the dilemma, it seems that the necessity must be an importation of consciousness, a feature of its formulation of laws or what things are for it, not something that could be considered as grounded in what things are in themselves. Necessity resides in the Understanding, since the unification into a rule or law of what are in themselves distinct things is its work. This latter is of course Kant's strategy.

11) But these incompatibilities are not simply stipulated, or analytically true. They are features of the contents comprised by a system, the Notion, that has produced them as the products of a course of concrete experience. That experience is the movement of the system in response to the immediate (noninferential in the sense of being commitments that are not the results of a process of inferring, not in the sense of being articulated without reference to their inferential roles) deliverances of perception, what is implicit in the world becoming explicit for consciousness through observation. And that experience is the movement of the system in response to the purely mediate deliverances of inference to the best explanation in response to the explicit confrontation of incompatibilities among its commitments, what is implicit in the system of concrete contents becoming explicit for consciousness through reflection. These meanings have not evolved and cannot be grasped independently of what is taken to be true. The necessity of their holistic interconnections cannot be reduced either to a reflection of an antecedent and independent objective reality, nor to a reflection of an antecedent and independent subjective reality. Determinate diversity of content and universal unity of necessity as its form are aspects of the Notion that cannot be understood independently of one another. (Cf. (2) above in this section.)

12) Focusing on explanation brings explicitly into view a topic that has been in the background throughout the discussion of theoretical entities: the distinction between appearance and reality.

Our object is thus from now on the syllogism [Schluß] which has for its extremes the inner being of Things, and the Understanding, and for its middle term appearance; but the movement [Bewegung] of this syllogism yields the further determination of what the Understanding descries in this inner world though the middle term, and the experience from which the Understanding learns about the close-linked unity of these terms. [145]

The end of Force and Understanding discusses the relationships among inference, explanation, and the distinction between appearance and reality. The issues surrounding them are discussed in the context of three conceptions of a reality beyond or behind appearance, which is inferentially revealed by appearance:

a) the first supersensible world, b) the first inverted world, and c) the second inverted world.

3. First supersensible world (FSW) :

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a) The first step is to an Eddingtonian realism: What is real is the theoretical entities whose interactions are responsible for the observable appearances. Primary qualities are real, secondary qualities are not (they are appearances, resulting from our interaction with the real). Science is the measure of primary qualities. What things are in themselves vs. what they are only for consciousness. Example: Of Eddington’s two tables, it is the table of the physicist that is real, not the table of observation (the scientific image table, not the manifest image table).

b) This view is the converse of instrumentalism in the philosophy of science. That is the view that it is only observable entities that are real. Theoretical entities are mere calculational postulates, convenient in organizing observable facts, but not referring to what there really is.

c) These two views, instrumentalism and the Strong Theoretical Realism that claims not just that theoretical entities (e.g. forces) are or can be real, but that only they can be, are not only converses. They both result from running together the appearance/reality distinction and the observation/theory distinction. In fact these are orthogonal: some theoretical entities are unmasked as appearances, and some observable entities are real.

d) But this does not get us all the way to the FSW. For the FSW is the “calm realm of laws.” For this we must add that it is not the forces (theoretical entities). For this we must i. add to the theoretical realism that is the converse of instrumentalism ii. the relational realist claim that it is the relations that functionally articulate the

contents of these universals that are real, rather than the functional roles they define; and

iii. a conception of statements of laws as describing superfacts. They are facts, because like ordinary facts, they state how things are. Laws are understood as descriptions of how things are. They are superfacts because they govern the relations among facts and possible facts.

The FSW is what you get if you put these three elements together. (ii) comes from the holistic conclusion of the discussion of the “play of forces.”Premises (i) and (ii) here are where we have gotten to by thinking about the play of

forces.e) Two claims H makes about FSW: i. Don’t line up obs/theory and appearance/reality distinction (either in the theoretical

realist or the instrumentalist way); andii. Don’t treat either of them as an ontological distinction.

13) The first conception of a supersensible world is what one gets by running together the distinction between observable and theoretical things or states of affairs with the distinction between appearance and reality.

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14) One takes theoretical objects to be real and what is observable to be their appearance by seeking to explain the latter in terms of the former, and not vice versa. The real is that in terms of which one offers accounts, and what one accounts for is how things appear. This sort of explanation reverses the direction of the inferences by means of which theoretical objects are revealed (appear) to us. To find out about theoretical objects, we draw conclusions from observational premises. To explain what we observe we draw conclusions from theoretical premises.

15) In “the process called explanation”:A law is enunciated; from this, its implicitly universal element or ground is distinguished as Force; but it is said that this difference is no difference, rather that the ground is constituted exactly the same as the law. The single occurrence of lightning, e.g. is apprehended as a universal, and this universal is enunciated as the law of electricity; the ‘explanation’ then condenses [zusammenfat] the law into Force as the essence of the law…Force is constituted exactly the same as law…the difference qua difference of content…is withdrawn.8

The metaconception of understanding that Hegel is considering in this part of his story does not have a sufficiently good grip on the structure of the Concept to follow out this insight coherently. But in explanation for the first time the identity of content of thought in its subjective aspect (thinking) and objective aspect (what is thought about) appears, albeit darkly. When things go well, there is an identity of content between a statement, claim or judgment and a fact, between a propriety of inference and a law. It is a criterion of adequacy for Hegel’s metaconception of the infinite Concept that it make sense both of this identity of content and of the difference of form between the subjective certainty that can attach to that content and the objective truth that can attach to it: the difference between what something is for consciousness, and what it is in itself.

16) It is a mistake, however, to identify the appearance/reality distinction with the observable/theoretical distinction. The distinction between observable and theoretical objects is not a distinction between two different kinds of objects at all. It is, as Sellars will later put it, not an ontological distinction at all, but only a methodological one.

4. The second supersensible world (SSW), which is the first inverted world (FIW) :

a) This keeps the idea that statements of laws describe superfacts. It thinks the statements expressing the semantogenic modal relations of exclusion and inclusion in virtue of which universals and the concepts expressing them have the determinate contents they do are descriptions of something.

b) But since those possible facts articulate the determinate contentfulness of facts, we think of a nimbus of Tractarian Sachverhalten surrounding the Tatsachen.

c) The first conception of a supersensible world as inverted is the result of misconstruing a genuine insight. The insight is Understanding’s discovery that the reality that is the truth

8 [M154].

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of appearance is the Concept, and that "it is a law of appearance itself."9 That law is a law regulating differences, changes in which "the content of the moments of change remains the same." "The differences are only such as are in reality no differences and which cancel themselves." We have seen how in the Concept the contents consist in their differences, which differences both thereby cancel themselves in the sense of defining self-same unities, and do not cancel themselves entirely, in that the movement of experience results. The idea of a calm realm of laws expressed in a changing realm of appearance is thus replaced by a conception of law as not only a unifying rule, but as equally the differentiating relations in virtue of which that unifying rule has a determinate content.

d) The mistake is to reify these essential, broadly inferential relations to construe them as constituting a separate world: to think of the relation between these laws and the appearance of which they are the law as a relation between two different kinds of thing. The result of making that mistake is a very odd conception of reality:According...to the law of this inverted [verkehrte] world, what is like in the first world is unlike to itself and what is unlike in the first world is equally unlike to itself, or it becomes like itself.10

Looked at superficially, this inverted world is the opposite of the first in the sense that it has the latter outside of it and repels that world from itself as an inverted actual world: that the one is appearance, but the other the in-itself; that the one is the world as it is for an other, whereas the other is the world as it is for itself.11

The mistake is to make the distinction between the world as it appears and the world as it is in itself, on this conception, into an ontological distinction.

1. The semantogenic statements of relations of exclusion and inclusion among properties and states of affairs describe the first inverted world (FIW=SSW). For the non-actual relata, the excluded possibilia relation to which is essential to the determinateness of the actual things and states of affairs, are not observable (so what is described or represented is supersensible), and they are the opposites of the actually instantiated ones.

2. The lesson is that statements of this sort do not represent or describe anything, but have a different expressive function. They make explicit something that is implicit in the terms we use to describe and represent the empirical world (including its supersensible, only inferentially available portions).

3. Possible world semantics is a paradigm of a view that does take modal statements to describe or represent states of affairs, but not states of affairs in the actual world we can find out about empirically—not just the observable part of it, but also the part we can make inferences about. What is described or represented is features of the universe of possible worlds. The other possible worlds are inverted worlds in Hegel’s sense: what is true there is things that are not true here, including many things that are incompatible with what is true here. Further, the determinate contentfulness of the actual facts is to be

9 [M156].10 [M158].11 [M159].

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understood, according to possible worlds semantics, in terms of what is true in the rest of the modal universe of possible worlds, outside the actual world.

4. Conclusion: Contemporary possible world semantics falls within the scope of what Hegel denominates the “second supersensible world, the first inverted world” conception. Possible world semantics is the contemporary form of the inverted world.

5. The First Inverted World (FII), which is the Second Supersensible World (SSW), sees the relations that define the determinate contents of empirical facts (and of the corresponding thoughts) as descriptive of something, as representing something. Since we cannot immediately perceive (or infer) the instantiation of the properties that are materially incompatible with those that we do take to be empirically instantiated (whether observably or ones we find out about only inferentially), what the relational claims that must be true for determinateness describe must be “jenseits”, over there, somewhere else, in some supersensible world. Compare: In the First Supersensible World (FSW), we took statements of laws to be descriptions of superfacts. (See (12) below and (7) above: Possible worlds are the inverted world.)

6. Hegel’s description of the SSW is alarming, apparently unmotivated, and almost obviously incoherent. It is alarming, in that the idea of a quasi-empirical world in which what here is salty is there sweet, what here is cubical is there round, and so on sounds like a fantasy. It is unmotivated, because (by contrast to the well-attested FSW view, which people like Eddington, and lots of others subscribe to) who ever believed this? (I think Hegel is bending his idiom out of shape to accommodate Schelling, in a heremeneutically generous attempt to show that there was, after all, something to the silly things the young Schelling said. Certainly he seems to be doing that in the Perception chapter, using the verbal formulae of an Identitätsphilosophie when it is not clearly necessary to do so.) It is almost obviously incoherent because one thing cannot (and this is an important Aristotelian point from Perception) coherently conceive an object that has all the properties incompatible with those that some particular object has. For they are often incompatible with each other. And Hegel has obtrusively acknowledged and depended on this point in Perception. (But we’ll see—(7) and (12)—that one significant answer is: possible world semantics.)

7. In fact, as I have long claimed, the point of this model is that we must think about the status of the properties whose relation of exclusive difference from the given property are essential to its identity: its semantogenic contraries. If statements of those relations are descriptions, what are they descriptions of? The Tractarian Tatsachen are defined in part, as Wittgenstein fully appreciates, by the cloud of Sachverhalten with which they contrast. What those statements are descriptions of is a SSW.

8. But looking at the issue somewhat more broadly, it concerns the cloud of excluded possibilities, in virtue of which one particular fact counts as determinate at all. The contemporary form of that view is possible world semantics. There the idea is that what makes my claim mean what it does, what is determinate about a fact, is its inclusion in one

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side, rather than the other, of a whole variety of partitions of the space of possible worlds. It is surrounded by a cloud of mere possibilia. That is the modern-day version of the SSW=FIW.

5. The third supersensible world (TSW) =second inverted world (SIW) is infinity :a) Laws as making explicit what is implicit in facts. The key here is that we give up the idea

that the statenments of laws describe anything, give up the idea that laws are superfacts. Instead we see them as performing an expressive function, bringing out something that is already implicit in the facts. What matters here is the distinction two ways of understanding the inferential relations (or mediations) that conceptually articulate our knowledge: i) as a special kind of reality behind appearances, and ii) as something that is implicit in and expressed by them.

b) That such an inverted world ‘behind’ the one that appears to us cannot be pointed out is not just because it is not here. If that world contains all the property instantiations incompatible with each actual perceived instantiation—everything that determinately negates every property that appears to us—it will contain instantiations incompatible with each other. (Recall that this is why properties have abstract negations, and objects don't).

What is needed is to de-ontologize (and desensualize) the conception of the relation between what is immediately available to us through perception and the conceptual element in virtue of which it (or anything) is cognitively available to us at all.

From the idea, then, of inversion, which constitutes the essential nature of one aspect of the supersensible world, we must eliminate the sensuous idea of fixing the differences in a different sustaining element; and this absolute notion of the difference must be represented and understood purely as inner difference.12 [160]

The final picture of the inverted world returns this supersensible beyond to its proper place within, as implicit in, the realm of appearance. Inversion is the way in which the second supersensible world is in the world of appearance. It is in it as the necessary connection of opposites in constituting the contents of possible experience.

c) The supersensible world is the concrete mediated structure in virtue of which appearance has a content. Thus the supersensible world, which is the inverted world, has at the same time overarched the other world and has it within it; it is for itself the inverted world, i.e. the inversion of itself; it is itself and its opposite in one unity. Only thus is it difference as inner difference, or difference in its own self, or the difference as infinity.13

d) The first conception of a supersensible world was a conception of a “calm realm of laws.” Those laws are expressed by quantified, modally qualified conditionals. They underwrite inferences from observable to theoretical states of affairs. And they were construed as for that reason also underwriting the explanations of perceptible appearance in terms of

12 [M160].13 [M160].

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an underlying merely thinkable reality, consisting of objects individuated solely by the roles they play with respect to those laws. Now we are to see that this thought about appearance and reality should not be understood merely as the converse of the thought about observable and theoretical states of affairs. Being a theoretical object—only accessible inferentially—does not preclude being an aspect of appearance rather than reality. And being an observable object—noninferentially accessible through perception—does not preclude being an aspect of reality rather than appearance. The essential inferential and so conceptual articulation of all awareness means that what is observable is as thinkable as what is only inferrable. The fact that observable objects are not only inferrable but perceivable does not mark an ontological difference between them. And the laws according to which we make inferences, which articulate the conceptual contents of both, also do not constitute a distinct ontological realm. The quantified, modally qualified conditionals that express those laws do not describe a distinct kind of state of affairs. Indeed, they do not describe anything. Rather they serve to make explicit the inferential articulation in virtue of which anything is thinkable (and so, in some cases, perceivable) at all.

The basis of those inferential relations (mediations) is the material incompatibilities (relations of determinate negation) among the concepts. I’ve suggested that the connection is that p as entails q just in case everything materially incompatible with q is materially incompatible with p. In this sense, being a dog entails being a mammal, because everything incompatible with being a mammal is incompatible with being a dog. So it is equally a mistake to think of those incompatibilities in ontological terms of a distinct kind of thing. The material incompatibilities that articulate the conceptual content of a state of affairs (whether perceptible or not) should be understood as implicit in it.

e) Infinity: “Thus the supersensible world, which is the inverted world, has at the same time overarched the other world and has it within it. It is for itself the inverted world, i.e. the inversion of itself; it is itself and its opposite in one unity. Only thus is it difference as inner difference, or difference in its own self, or difference as an infinity [Unendlichkeit].” [M160]

f) [M161-2] on holism.

g) “Infinity, or this absolute unrest of pure movement, in which whatever is determined in one way or another, e.g. has being,is rather the opposite of this determinateness, this no doubt has been from the start the soul of all that has gone before; but it is in the inner wolrd that it has first freely and clearly shown itself. Appearance, or the play of forces, already displays it, but it is as ‘explanation’ that it first freely stands forth; and in being finally an object for consciousness, as that which it is, consciousness is thus self-consciousness.” [M163]

h) “Since this Notion of infinity is an object for consciousness, the latter is consciousness of a difference that is no less immediately cancelled; consciousness is for its own self, it is a distinguishing of that which contains no difference, or self-consciousness…The necessary advance from the previous shapes of consciousness for which their truth was a

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Thing, an ‘other’ than themselves, expresses just this, that not only is consciousness of a thing possible only for a self-consciousness, but that self-consciousness is itself the truth of those shapes. But it is only for us that this truth exists, not yet for consciousness.” [M164]

i) “We see that in the inner world of appearance, the Understanding in truth comes to know nothing else but appearance, but not in the shape of a play of Forces, but rather that play of Forces in its absolutely universal moments and in their movement; in fact, the Understanding experiences only itself.” [M165]

j) Infinity : 160. From the idea, then, of inversion, which constitutes the essential nature of one aspect of the supersensible world, we must eliminate the sensuous idea of fixing the differences in a different sustaining element; and this absolute Notion of the difference must be represented and understood purely as inner difference, a repulsion of the selfsame, as selfsame, from itself, and likeness of the unlike as unlike. We have to think pure change, or think antithesis within the antithesis itself, or contradiction…Thus the supersensible world, which is the inverted world, has at the same time overarched the other world and has it within it; it is for itself the inverted world, i.e. the inversion of itself; it is itself and its opposite in one unity. Only thus is it difference as inner difference, or difference in its own self, or difference as an infinity.

k) 161. We see that through infinity, law completes itself into an immanent necessity, and all the moments of [the world of] appearance are taken up into the inner world. That the simple character of law is infinity means, according to what we have found, (a) that it is self-identical, but is also in itself different; or it is the selfsame which repels itself from itself or sunders itself into two. What was called simple Force duplicates itself and through its infinity is law. (b) What is thus dirempted, which constitutes the parts thought of as in the law, exhibits itself as a stable existence… But (c) through the Notion of inner difference, these unlike and indifferent moments, space and time, etc. are a difference which is no difference, or only a difference of what is selfsame, and its essence is unity. As positive and negative they stimulate each other into activity, and their being is rather to posit themselves as not-being and to suspend themselves in the unity. The two distinguished moments both subsist; they are implicit and are opposites in themselves, i.e. each is the opposite of itself; each has its 'other' within it and they are only one unity.

l) 162. This simple infinity, or the absolute Notion…whose omnipresence is neither disturbed nor interrupted by any difference, but rather is itself every difference, as also their supersession; it pulsates within itself but does not move, inwardly vibrates, yet is at rest. It is self-identical, for the differences are tautological; they are differences that are none. This self-identical essence is therefore related only to itself; 'to itself' implies relationship to an 'other', and the relation-to-self is rather a self-sundering; or, in other words, that very self-identicalness is an inner difference. These sundered moments are thus in and for themselves each an opposite—of an other; thus in each moment the 'other' is at the same time expressed; or each is not the opposite of an 'other' but only a pure opposite; and so each is therefore in its own self the opposite of itself. In other words, it is not an opposite at all, but is purely for itself, a pure, self-identical essence that has no difference in it.

m) 163. Infinity, or this absolute unrest of pure self-movement, in which whatever is determined in one way or another, e.g. as being, is rather the opposite of this determinateness, this no doubt has been from the start the soul of all that has gone before; but it is in the inner world that it has first freely and clearly shown itself. Appearance, or the play of Forces, already displays it, but it is as 'explanation' that it first freely stands forth; and in being finally an object for consciousness, as that which it is, consciousness is thus self-consciousness. The Understanding's 'explanation' is primarily only the description of what self-consciousness is.

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6. “Thus the supersensible world, which is the inverted world, has at the same time overarched the other world and has it within it. It is for itself the inverted world, i.e. the inversion of itself; it is itself and its opposite in one unity. Only thus is it difference as inner difference, or difference in its own self, or difference as an infinity [Unendlichkeit].” [M160]

7. Holism is the big story of HI. Finite=atomistic, infinite=holistic. As Hegel puts the point in the hyperbolic language characteristic of his ‘speculative’ concept of identity: “the absolute antithesis [Gegensatz] is posited as a self-identical essence” [M134]. Determinate contentfulness begins to appear as a kind of differentiated identity, as identity in difference. This drives EVERYTHING.

8. Hermeneutical challenges:a. Relation between discussion of force and of law, explanation, understanding.b. Lesson of the “inverted world”, and the “second supersensible world”.c. Understanding the “infinity of the Concept”.d. Understanding the argumentative rationale for the transition from discussion of

consciousness to that of self-consciousness.

Passages:

1. One of the lessons of Perception is that the essence of a thing is not (as it was for phenomenal consciousness conceiving of itself as perceiving) being immediately perceptible. The essence of the thing is rather the relations that articulate the intelligible content of perception. This brings into view not perceiving, but understanding: the conceptual content that is delivered immediately in perception, but can also be thought with otherwise than in perception.

129. Thus the object in its pure determinatenesses, or in the determinatenesses which were supposed to constitute its essential being, is overcome just as surely as it was in its sensuous being. From a sensuous being it turned into a universal; but this universal, since it originates in the sensuous, is essentially conditioned by it, and hence is not truly a self-identical universality at all, but one afflicted with an opposition; for this reason the universality splits into the extremes of singular individuality and universality, into the One of the properties, and the Also of the 'free matters'. These pure determinatenesses seem to express the essential nature itself, but they are only a 'being-for-self' that is burdened with a 'being-for-another'. Since, however, both are essentially in a single unity, what we now have is unconditioned absolute universality, and consciousness here for the first time truly enters the realm of the Understanding.130. Thus the singular being of sense does indeed vanish in the dialectical movement of immediate certainty and becomes universality, but it is only a sensuous universality. My 'meaning' has vanished, and perception takes the object as it is in itself, or as a universal as such. Singular being therefore emerges in the object as true singleness, as the in-itself of the One, or as a reflectedness-into-self. But this is still a conditioned being-for-self alongside which appears

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another being-for-self, the universality which is opposed to, and conditioned by singular being. But these two contradictory extremes are not merely alongside each other but in a single unity, or in other words, the defining characteristic common to both, viz. 'being-for-self', is burdened with opposition generally, i.e. it is at the same time not a 'being-for-self'. The sophistry of perception seeks to save these moments from their contradiction, and it seeks to lay hold on the truth, by distinguishing between the aspects, by sticking to the 'Also' and to the 'in so far', and finally, by distinguishing the 'unessential' aspect from an 'essence' which is opposed to it. But these expedients, instead of warding off deception in the process of apprehension, prove themselves on the contrary to be quite empty; and the truth which is supposed to be won by this logic of the perceptual process proves to be in one and the same respect the opposite [of itself] and thus to have as its essence a universality which is devoid of distinctions and determinations.

134. The result was the unconditioned universal, initially, in the negative and abstract sense that consciousness negated its one-sided Notions and abstracted them: in other words, it gave them up. But the result has, implicitly, a positive significance: in it, the unity of 'being-for-self' and 'being-for-another' is posited; in other words, the absolute antithesis is posited as a self-identical essence. At first sight, this seems to concern only the form of the moments in reciprocal relation; but 'being-for-self' and 'being-for-another' are the content itself as well, since the antithesis in its truth can have no other nature than the one yielded in the result, viz. that the content taken in perception to be true, belongs in fact only to the form, in the unity of which it is dissolved. This content is likewise universal; there can be no other content which by its particular constitution would fail to fall within this unconditioned universality. A content of this kind would be some particular way or other of being for itself and of being in relation to an other. But, in general, to be for itself and to be in relation to an other constitutes the nature and essence of the content, whose truth consists in its being unconditionally universal; and the result is simply and solely universal.

2. [135]: “because this unconditioned universal is an object for consciousness, there emerges in it the distinction of form and content” What warrants this ‘because’?

3. [136]: “the 'matters' posited as independent directly pass over into their unity, and their unity directly unfolds its diversity, and this once again reduces itself to unity. But this movement is what is called Force.” This is the first mention of force. It comes up as we are talking about the identity-as-consisting-in-difference. We’ll see that the difference is the expression of force, it’s relation to others, and force is the identity that is constituted by that. Law governs the relations between different ‘forces’ (and underwrites inferences), and so articulates the essence or identity of force. So what we get is a conception of objects not as essentially immediately perceivable, but as essentially nodes in a field of forces (the ontological image of a semantic holism).

4. [136] “When we thus preserve the two moments in their immediate unity, the Understanding, to which the Notion of Force belongs, is strictly speaking the Notion which sustains the different moments qua different; for, in themselves, they are not supposed to be

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different. Consequently, the difference exists only in thought. That is to say, what has been posited in the foregoing is in the first instance only the Notion of Force, not its reality. In point of fact, however, Force is the unconditioned universal which is equally in its own self what it is for an other; or which contains the difference in its own self—for difference is nothing else than being-for-another.”

5. [141] Force, as actual, exists simply and solely in its expression, which at the same time is nothing else than a supersession of itself. This actual Force, when thought of as free from its expression and as being for itself, is Force driven back into itself; but in fact this determinateness, as we have found, is itself only a moment of Force's expression. Thus the truth of Force remains only the thought of it; the moments of its actuality, their substances and their movement, collapse unresistingly into an undifferentiated unity, a unity which is not Force driven back into itself (for this is itself only such a moment), but is its Notion qua Notion. Thus the realization of Force is at the same time the loss of reality; in that realization it has really become something quite different, viz. this universality, which the Understanding knows at the outset, or immediately, to be its essence and which also proves itself to be such in the supposed reality of Force, in the actual substances.

6. 143. This true essence of Things has now the character of not being immediately for consciousness; on the contrary, consciousness has a mediated relation to the inner being and, as the Understanding, looks through this mediating play of Forces into the true background of Things. The middle term which unites the two extremes, the Understanding and the inner world, is the developed being of Force which, for the Understanding itself, is henceforth only a vanishing. This 'being' is therefore called appearance;

7. [143] This play of Forces is consequently the developed negative; but its truth is the positive, viz. the universal, the object that, in itself, possesses being. The being of this object for consciousness is mediated by the movement of appearance, in which the being of perception and the sensuously objective in general has a merely negative significance. Consciousness, therefore, reflects itself out of this movement back into itself as the True; but, qua consciousness, converts this truth again into an objective inner, and distinguishes this reflection of Things from its own reflection into itself: just as the movement of mediation is likewise still objective for it.

8. 144. Within this inner truth, as the absolute universal which has been purged of the antithesis between the universal and the individual and has become the object of the Understanding, there now opens up above the sensuous world, which is the world of appearance, a supersensible world which henceforth is the true world, above the vanishing present world there opens up a permanent beyond; an in-itself which is the first, and therefore imperfect, appearance of Reason, or only the pure element in which the truth has its essence.

9. 145. Our object is thus from now on the syllogism which has for its extremes the inner being of Things and the Understanding, and for its middle term, appearance; but the movement of this syllogism yields the further determination of what the Understanding descries in this inner world through the middle term, and the experience from which Understanding learns about the close-linked unity of these terms.

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10. 149. The absolute flux of appearance becomes a simple difference through its relation to the simplicity of the inner world or of the Understanding. The inner being is, to begin with, only implicitly the universal; but this implicit, simple universal is essentially no less absolutely universal difference, for it is the outcome of the flux itself, or the flux is its essence; but it is a flux that is posited in the inner world as it is in truth, and consequently it is received in that inner world as equally an absolute universal difference that is absolutely at rest and remains selfsame. In other words, negation is an essential moment of the universal, and negation, or mediation in the universal, is therefore a universal difference. This difference is expressed in the law, which is the stable image of unstable appearance. Consequently, the supersensible world is an inert realm of laws which, though beyond the perceived world—for this exhibits law only through incessant change—is equally present in it and is its direct tranquil image.

11. 150. This realm of laws is indeed the truth for the Understanding, and that truth has its content in the law. At the same time, however, this realm is only the initial truth for the Understanding and does not fill out the world of appearance. In this the law is present, but is not the entire presence of appearance; with every change of circumstance the law has a different actuality. Thus appearance retains for itself an aspect which is not in the inner world; i.e. appearance is not yet truly posited as appearance, as a superseded being-for-self. This defect in the law must equally be made manifest in the law itself. What seems to be defective in it is that while it does contain difference, the difference is universal, indeterminate. However, in so far as it is not law in general, but a law, it does contain determinateness; consequently, there are indefinitely many laws. But this plurality is itself rather a defect; for it contradicts the principle of the Understanding for which, as consciousness of the simple inner world, the True is the implicitly universal unity.

12. 153. There is still another form than that just indicated in which the indifference of law and Force, or of Notion and being, is to be found. In the law of motion, e.g., it is necessary that motion be split up into time and space, or again, into distance and velocity. Thus, since motion is only the relation of these factors, it—the universal—is certainly divided in its own self. But now these parts, time and space, or distance and velocity, do not in themselves express this origin in a One; they are indifferent to one another, space is thought of as able to be without time, time without space, and distance at least without velocity—just as their magnitudes are indifferent to one another, since they are not related to one another as positive and negative, and thus are not related to one another through their own essential nature. The necessity of the division is thus certainly present here, but not the necessity of the parts as such for one another. But it is just for this reason that that first necessity, too, is itself only a sham, false necessity. For motion is not itself thought of as something simple, or as a pure essence, but as already divided; time and space are in themselves its independent parts or essences, or, distance and velocity are modes of being or ways of thinking, either of which can well be without the other; and motion is, therefore, only their superficial relation, not their essence. If it is thought of as a simple essence or as Force, motion is no doubt gravity, but this does not contain these differences at all.

13. [154] Force is constituted exactly the same as law;

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14. 155. In this tautological movement, the Understanding, as we have seen, sticks to the inert unity of its object, and the movement falls only within the Understanding itself, not within the object.

15. [156] The Understanding thus learns that it is a law of appearance itself, that differences arise which are no differences, or that what is selfsame repels itself from itself; and similarly, that the differences are only such as are in reality no differences and which cancel themselves; in other words, what is not selfsame is self-attractive. And thus we have a second law whose content is the opposite of what was previously called law, viz. difference which remains constantly selfsame; for this new law expresses rather that like becomes unlike and unlike becomes like.

16. 157. Through this principle, the first supersensible world, the tranquil kingdom of laws, the immediate copy of the perceived world, is changed into its opposite. The law was, in general, like its differences, that which remains selfsame; now, however, it is posited that each of the two worlds is really the opposite of itself. The selfsame really repels itself from itself, and what is not selfsame really posits itself as selfsame. In point of fact, it is only when thus determined that the difference is inner difference, or the difference in its own self, the like being unlike itself, and the unlike, like itself. This second supersensible world is in this way the inverted world and, moreover, since one aspect is already present in the first supersensible world, the inversion of the first. With this, the inner world is completed as appearance. For the first supersensible world was only the immediate raising of the perceived world into the universal element; it had its necessary counterpart in this perceived world which still retained for itself the principle of change and alteration. The first kingdom of laws lacked that principle, but obtains it as an inverted world.

17. 158. According, then, to the law of this inverted world, what is like in the first world is unlike to itself, and what is unlike in the first world is equally unlike to itself, or it becomes like itself.

18. 160. From the idea, then, of inversion, which constitutes the essential nature of one aspect of the supersensible world, we must eliminate the sensuous idea of fixing the differences in a different sustaining element; and this absolute Notion of the difference must be represented and understood purely as inner difference, a repulsion of the selfsame, as selfsame, from itself, and likeness of the unlike as unlike. We have to think pure change, or think antithesis within the antithesis itself, or contradiction. For in the difference which is an inner difference, the opposite is not merely one of two—if it were, it would simply be, without being an opposite—but it is the opposite of an opposite, or the other is itself immediately present in it. Certainly, I put the 'opposite' here, and the 'other' of which it is the opposite, there; the 'opposite', then, is on one side, is in and for itself without the 'other'. But just because I have the 'opposite' here in and for itself, it is the opposite of itself, or it has, in fact, the 'other' immediately present in it. Thus the supersensible world, which is the inverted world, has at the same time overarched the other world and has it within it; it is for itself the inverted world, i.e. the inversion of itself; it is itself and its opposite in one unity. Only thus is it difference as inner difference, or difference in its own self, or difference as an infinity.

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19. 161. We see that through infinity, law completes itself into an immanent necessity, and all the moments of [the world of] appearance are taken up into the inner world. That the simple character of law is infinity means, according to what we have found, (a) that it is self-identical, but is also in itself different; or it is the selfsame which repels itself from itself or sunders itself into two. What was called simple Force duplicates itself and through its infinity is law. (b) What is thus dirempted, which constitutes the parts thought of as in the law, exhibits itself as a stable existence; and if the parts are considered without the Notion of the inner difference, then space and time, or distance and velocity, which appear as moments of gravity, are just as indifferent and without a necessary relation to one another as to gravity itself, or, as this simple gravity is indifferent to them, or, again, as simple electricity is indifferent to positive and negative electricity. But (c) through the Notion of inner difference, these unlike and indifferent moments, space and time, etc. are a difference which is no difference, or only a difference of what is selfsame, and its essence is unity. As positive and negative they stimulate each other into activity, and their being is rather to posit themselves as not-being and to suspend themselves in the unity. The two distinguished moments both subsist; they are implicit and are opposites in themselves, i.e. each is the opposite of itself; each has its 'other' within it and they are only one unity.

20. 162. This simple infinity, or the absolute Notion, may be called the simple essence of life, the soul of the world, the universal blood, whose omnipresence is neither disturbed nor interrupted by any difference, but rather is itself every difference, as also their supersession; it pulsates within itself but does not move, inwardly vibrates, yet is at rest. It is self-identical, for the differences are tautological; they are differences that are none. This self-identical essence is therefore related only to itself; 'to itself' implies relationship to an 'other', and the relation-to-self is rather a self-sundering; or, in other words, that very self-identicalness is an inner difference. These sundered moments are thus in and for themselves each an opposite—of an other; thus in each moment the 'other' is at the same time expressed; or each is not the opposite of an 'other' but only a pure opposite; and so each is therefore in its own self the opposite of itself. In other words, it is not an opposite at all, but is purely for itself, a pure, self-identical essence that has no difference in it.

21. [163] “Infinity, or this absolute unrest of pure self-movement, in which whatever is determined in one way or another, e.g. as being, is rather the opposite of this determinateness, this no doubt has been from the start the soul of all that has gone before; but it is in the inner world that it has first freely and clearly shown itself. Appearance, or the play of Forces, already displays it, but it is as 'explanation' that it [BB: viz. infinity, the absolute unrest of pure self-movement] first freely stands forth; and in being finally an object for consciousness, as that which it is, consciousness is thus self-consciousness. The Understanding's 'explanation' is primarily only the description of what self-consciousness is.” This is the rationale for the expository transition to Self-Consciousness: the holism of the infinite Concept shows up on the side of subjectivity, in terms of our activity in drawing consequences and extruding incompatibilities, i.e. in explaining. So that is where we must look to understand it.

22. [163] talks about the progression from Appearance as the play of forces to the distinction between Force and Law (a “difference that is no difference”).

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