Infinite

All occurrences

Where it appears in the corpus (123)

1. #01

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.89

   From the Logic of Illusion to the Postulates > The passage to the postulates

   Theoretical move: Zupančič argues that Kant's postulates (freedom, immortality of the soul, God) differ structurally from the transcendental ideas by being axiomatic rather than fictional, and that the postulates of immortality and God 'personify' or materialize the two standpoints (understanding and reason) that regulative ideas only formally articulate—making the subject embody the perspective of understanding and God the perspective of reason in relation to the highest good.

   Kant establishes a difference between the 'Infinite Being' and the infinite existence of a being. When he says that for the Infinite Being 'the temporal condition is nothing', this implies that for the immortal soul, the temporal condition remains valid.

2. #02

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.92

   Good and Evil

   Theoretical move: Zupančič argues that Kant's postulate of the immortality of the soul is structurally a fantasy in the Lacanian sense: it responds to the same impasse as Sadeian fantasy—the incommensurability between the body's finite capacity for pleasure/pain and the infinite demand of jouissance—thereby demonstrating that "Kant with Sade" finds its most precise illustration in the immortality postulate, whose truth is not an immortal soul but an immortal body.

   only endless progress from lower to higher stages of moral perfection is possible to a rational but finite being.

3. #03

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.119

   The Act and Evil in Literature

   Theoretical move: The passage constructs two paradigmatic figures of ethical failure — the 'Sadeian' (infinite approach to the object of desire, part-by-part) and the 'Don Juanian' (overhasty pursuit, one-by-one) — as the two faces of Kant's theory of the act, using Lacan's reading of Zeno's paradox to show that both fail to close the gap between will and jouissance and thus enter the territory of 'diabolical evil'.

   A number has a limit and it is to that extent that it is infinite. It is quite clear that Achilles can only pass the tortoise - he cannot catch up with it. He only catches up with it at infinity.

4. #04

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.170

   Between the Moral Law and the Superego > The sublime and the logic of the superego > The second passage is from the Critique of Judgement.

   Theoretical move: Zupančič argues that Kant's theory of the sublime can be read as a theory of the logic of fantasy, in which the subject's safe observation of its own annihilation through the 'window of fantasy' reveals the superego structure latent in Kantian ethics — while simultaneously opening the question of whether a non-superego ethics (Lacanian ethics) is conceivable.

   the mathematically sublime, which aims at infinity and eternity, brings forth the dimension of the 'infinite task' imposed upon the subject of the moral law, the fact that all we can do is approach in infinitum the pure moral act.

5. #05

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.262

   Sygne, or the Enj oyment of the Remainder > From pure desire to the drive > Notes

   Theoretical move: Zupančič argues that the Lacanian "ethics of the Real" is grounded not in finitude but in the infinite's unavoidable parasitism of the finite—identified as jouissance/death drive—and that this opens two distinct figures of the infinite (desire vs. jouissance) corresponding to two paradigms of ethics (classical/Antigone vs. modern/Sygne), a distinction that reframes the death drive as radically indifferent to death rather than oriented toward it.

   The absence of the beyond, the lack of any exception to the finite, 'infinitizes' the finite. To use Jean-Claude Milner's formula, 'the infinite is what says no to the exception to finitude'.

6. #06

   Ethics of the Real: Kant and Lacan · Alenka Zupančič · p.265

   Sygne, or the Enj oyment of the Remainder > From pure desire to the drive > Notes

   Theoretical move: Zupančič argues that the "realization of desire" operates through an infinite measure (the logic of negative magnitude and endless metonymy) that can only be articulated from the point of view of a Last Judgement, and she uses the parallel between Kant's postulates and Lacan's ethics to show that the Act (as in Antigone) dissolves the divided subject by transposing it wholly to the side of the object—thereby distinguishing desire from jouissance and opening onto a "modern" ethics adequate to a symbolic order in which the Other's non-existence is itself known.

   The infinite which is at work in the figure of desire is the infinite of the 'negative magnitude'. It is the infinite which is constituted in a pursuit that never ends (the eternal 'That's not it').

7. #07

   Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.150

   A More Tolerable Infi nity

   Theoretical move: McGowan argues that Hegel's concept of the "true infinite" (self-limiting, circular) constitutes a more radical anticapitalist critique than Marx's, because it poses an internal limit that capitalism—structurally committed to the "bad infinite" of endless expansion—cannot subsume; this true infinite shares the structure of the psychoanalytic subject.

   What makes Hegel the most important anticapitalist philosopher, inclusive of Marx, is his conception of infinity. Up to Kant and Fichte, philosophers could only formulate what Hegel calls the bad infinite (die schlechte Unendlichkeit).

8. #08

   Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.154

   A More Tolerable Infi nity > JOUIR S AN S E N T R AV E S

   Theoretical move: Capitalism is structurally committed to the bad infinite — an endless expansion without limit or endpoint — and this structure provides psychic relief from the true infinite by displacing desire onto a perpetually deferred future satisfaction, making the limitlessness of desire the ideological engine of limitless production and consumption.

   Capitalism's allergy to the limit indicates its inextricable commitment to the bad infi nite, which simply goes on and on without stopping.

9. #09

   Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.158

   THE DIFFIC ULTIE S OF H APPINE SS

   Theoretical move: McGowan argues that rational choice theory, behavioral economics, and happiness economics all remain trapped within the Hegelian "bad infinite" — an endless striving for more without internal limit — and that capitalism's attachment to this bad infinite can only be overcome by reconceiving nature not as an external limit (Scylla of finitude) nor as a site of infinite possibility (Charybdis of the bad infinite), but as the internal limit of the social order, which alone can ground a true infinite and genuine satisfaction.

   Rational choice theory is tied to the bad infi nite, perhaps even more so than Smith.

10. #10

    Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.162

    FAK IN G THE LIMIT

    Theoretical move: Attempts to set external moral limits on capitalism (Sandel, environmentalism) are structurally self-defeating because capitalism requires a limit to transcend; the only viable alternative is to inhabit the true infinite (Hegel/Lacan's self-limiting structure of subjectivity), which capitalism occludes by substituting the bad infinite and converting the existential burden of eternity into the finite anxiety of death and aging.

    Capitalism actually requires this barrier in order to constitute itself as infinitely expanding. What is priceless today, one can be sure, will have a price tomorrow, when something else will miraculously become priceless.

11. #11

    Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.167

    C APITALISM'S UN CON S C IOUS INFINITE

    Theoretical move: McGowan argues that capitalism structurally enacts the bad infinite while inadvertently producing the true infinite (its own internal limit), and that Marx's error is to theorize communism as the perfect realization of the bad infinite—an elimination of all limits—rather than following Hegel's dialectical logic (Aufhebung) which requires recognizing the limit as internally constituted and necessary, not contingent and external.

    Even though the structure of capitalism is that of the bad infinite, its constantly realized destiny is that of the true infinity. That is to say, it creates its own limit rather than encountering this limit in an external form.

12. #12

    Capitalism and Desire: The Psychic Cost of Free Markets · Todd McGowan · p.281

    . A MOR E TOLE R ABLE INFINIT Y

    Theoretical move: This endnotes section for "A More Tolerable Infinity" deploys Hegel's distinction between spurious/bad infinity and true infinity as a critical lever against capitalism's structural logic of endless expansion, while mobilizing fetishistic disavowal, the drive toward loss, and natural limits to argue that capitalism's infinite movement is self-undermining rather than genuinely infinite.

    The translation of die schlechte Unendlichkeit as 'spurious infinite' for decades chagrined Hegel scholars. The implication of the term spurious infinite is that this form of infinity is not infinite at all, whereas Hegel's point is that it is in fact infinite, but bad insofar as it remains dependent on its other in a way that it cannot avow.

13. #13

    Enjoying What We Don't Have: The Political Project of Psychoanalysis · Todd McGowan · p.110

    I > 3 > Mastery versus Capitalism

    Theoretical move: McGowan argues that capitalism, by universalizing the demand for recognition through the structural appropriation of surplus value, eliminates the 'outside' position that allowed the slave to enjoy, yet simultaneously reveals that enjoyment is always already based on a prior loss — making capitalism the condition of possibility for a 'fully realized infinite' enjoyment rather than the slave's merely 'potential infinite.'

    Within a master/slave economy, enjoyment is an infinite project that one remains within but never realizes. It is potentially infinite, but one doesn't reach this infinite.

14. #14

    Enjoying What We Don't Have: The Political Project of Psychoanalysis · Todd McGowan · p.240

    I > 9 > Life versus Death

    Theoretical move: The death drive, understood as a third option beyond the life/death binary, reveals the falsity of the opposition between global capitalism (pure life, bad infinite) and fundamentalism (love of death), and shows that modernity's repression of finitude/death necessarily produces the fundamentalist eruptions it cannot accommodate — what it forecloses in the Symbolic returns in the Real.

    The problem with the exclusive focus on life at the expense of death is that it never finds enough life and thus remains perpetually dissatisfied... It evokes what Hegel calls the bad infinite — an infinite that is wrongly conceived as having no relation at all to the finite.

15. #15

    Enjoying What We Don't Have: The Political Project of Psychoanalysis · Todd McGowan · p.297

    I > Th e Case of the Missing Signifi er > Conclusion

    Theoretical move: The passage argues that a positive politics of the death drive is possible not by eliminating it or escaping toward a utopian good, but by recognizing internal limits as the very source of infinite enjoyment—transforming the relationship to the lost object and the figures of the enemy so that external threats are seen as internal self-limitations rather than obstacles to be overcome.

    The enjoyment that the death drive provides... is at once infinite and limited. This oxymoronic form of enjoyment operates in the way that the concept does in Hegel's Logic.

16. #16

    Enjoying What We Don't Have: The Political Project of Psychoanalysis · Todd McGowan · p.318

    I > Th e Case of the Missing Signifi er > Notes > 3. Class Status and Enjoyment

    Theoretical move: These endnotes develop the theoretical argument that enjoyment, class status, subjectivity, and emancipation are structurally interlinked: the master's power is constituted through the renunciation of jouissance, anarchism fails by positing a subject outside social restriction, and the capitalist infinite of enjoyment corresponds to Hegel's true infinity (circular) rather than the bad infinite (linear).

    The infinite enjoyment of precapitalist epochs is an example of Hegel's bad infinite... The infinite enjoyment that capitalism makes possible accords with what Hegel sees as the proper idea of infinity: here, the endless movement of the circle provides the model for thinking infinity

17. #17

    Seminar XI · The Four Fundamental Concepts of Psychoanalysis (alt. translation) · Jacques Lacan · p.267

    FROM INTERPRETATION TO THE TRANSFERENCE > THE FIELD OF THE OTHER

    Theoretical move: The primary signifier, functioning like a zero in the denominator of a fraction, does not open the subject to all meanings but rather abolishes them all, grounding the subject's freedom through a radical non-sense that infinitizes subjective value—and this infinity of the subject must be mediated with the finiteness of desire through the Kantian concept of negative quantities.

    the mediation of this infinity of the subject with the finiteness of desire may occur only through the intervention of what Kant... introduced... in the term negative quantities.

18. #18

    Seminar XI · The Four Fundamental Concepts of Psychoanalysis (alt. translation) · Jacques Lacan · p.240

    THE SUBJECT AND THE OTHER: APHANISIS > APHANISIS

    Theoretical move: Lacan leverages Descartes's voluntarist solution to the problem of the guaranteeing subject (God as the subject supposed to know) to introduce the analytic transference as a structural replacement for that theological guarantee, and simultaneously grounds his concept of alienation in the non-trivial logic of cardinal addition, showing that the vel of alienation cannot be collapsed into simple arithmetic totality.

    it is a question not so much of a perfect, as of an infinite being... we have no need of the idea of a perfect, infinite being

19. #19

    Seminar XI · The Four Fundamental Concepts of Psychoanalysis · Jacques Lacan · p.45

    OF THE SUBJECT OF CERTAINTY > THE UNCONSCIOUS AND REPETITION

    Theoretical move: Lacan positions the unconscious as neither being nor non-being but the "unrealized," and uses this to critique both spiritualist/parapsychological misappropriations of Freud and the rationalist "desiccation" of the unconscious by orthodox analysis, thereby clearing space for his own structural account of the unconscious and desire.

    stress is laid on the uncontrollable, infinite character of human desire—seeing in it the mark of some divine slipper that has left its imprint on it

20. #20

    Seminar XI · The Four Fundamental Concepts of Psychoanalysis · Jacques Lacan · p.240

    THE SUBJECT AND THE OTHER: APHANISIS > APHANISIS

    Theoretical move: Lacan leverages the Cartesian problem of the subject supposed to know (God as guarantor of scientific truth) to introduce the analytic function of transference, then pivots to the vel of alienation as an illustration of how simple addition cannot be taken for granted — the infinite regress of 1+1+1+... undermines Cartesian clarity about eternal truths.

    it is a question not so much of a perfect, as of an infinite being.

21. #21

    Seminar XI · The Four Fundamental Concepts of Psychoanalysis · Jacques Lacan · p.267

    FROM INTERPRETATION TO THE TRANSFERENCE > THE FIELD OF THE OTHER

    Theoretical move: The primary signifier functions not as openness to all meanings but as their abolition, grounding the subject's freedom through infinite value (denominator = zero); the mediation between this infinity of the subject and the finiteness of desire requires a formalization via Kant's concept of negative quantities.

    the bearer of the infinitization of the value of the subject... the mediation of this infinity of the subject with the finiteness of desire

22. #22

    Seminar XII · Crucial Problems for Psychoanalysis (alt. translation) · Jacques Lacan · p.129

    **Seminar 10: Wednesday 3 March 1965**

    Theoretical move: Lacan reframes Freudian identification by grounding it in the subject's relation to lack and the zero/one dialectic (via Frege), arguing that primary identification precedes truth and is rooted in a mythical-incorporative relation to the father that cannot be reduced to either libidinal development or ego-psychological adaptation — thereby positioning identification as the analytic problem that displaces the theological impasse of knowing/willing.

    this proliferation which multiplies it without limit, which manifests itself as presentifying, in a serial fashion, a certain manifestation of infinity

23. #23

    Seminar XII · Crucial Problems for Psychoanalysis · Jacques Lacan · p.129

    **Seminar 10: Wednesday 3 March 1965**

    Theoretical move: Lacan advances identification as the central problematic of analytic experience by triangulating it across three registers: the mathematical logic of zero/one (Frege) as the structural model for the subject's appearing-disappearing pulsation; a critique of ego-psychology's pseudo-developmental account of identification (adaptation, secondary narcissism); and a close reading of Freud's Group Psychology chapter VII, where the primordial identification with the father (Einverleibung) is shown to be logically prior to—and irreducible by—the conscious/unconscious or will/knowledge dualisms inherited from Western philosophical-theological tradition.

    this proliferation which multiplies it without limit, which manifests itself as presentifying, in a serial fashion, a certain manifestation of infinity

24. #24

    Seminar XIII · The Object of Psychoanalysis (alt. translation) · Jacques Lacan · p.121

    **Seminar 9: 2 February 1966**

    Theoretical move: Lacan positions the analytic experience as requiring the analyst to occupy a Pyrrhonian/sceptical stance toward truth, introduces the Subject Supposed to Know as the patient's trap for the analyst's epistemological drive, and pivots toward Pascal's Wager as a structural model for the subject's relationship to infinity, the real, and the impossibility of enjoying truth.

    Unity added to infinity does not increase it at all... The finite is annihilated in the presence of the infinite and becomes pure nothingness.

25. #25

    Seminar XIII · The Object of Psychoanalysis (alt. translation) · Jacques Lacan · p.122

    **Seminar 9: 2 February 1966**

    Theoretical move: Lacan reads Pascal's Wager as a structure that introduces the split between being and existence, and identifies the "nothing" staked in the wager—the life one loses without losing anything—with objet petit a as the cause of desire, thereby grounding the wager not in probability theory but in the subject's relation to the Real qua impossible.

    Never has this infinite distance, namely, what it means, been really taken into consideration.

26. #26

    Seminar XIII · The Object of Psychoanalysis · Jacques Lacan · p.121

    **Seminar 9: 2 February 1966**

    Theoretical move: Lacan uses the analytic situation — where every demand is necessarily disappointed — to critique masochism as a hasty diagnostic label, introduces the analyst as Subject Supposed to Know whose epistemological drive toward truth is itself caught in the law of disappointed demand, and pivots to Pascal's Wager as a structural model for the subject who must wager on truth while initially renouncing access to it in a Pyrrhonian suspension.

    Unity added to infinity does not increase it at all, any more than a foot added to an infinite measurement. The finite is annihilated in the presence of the infinite and becomes pure nothingness.

27. #27

    Seminar XIII · The Object of Psychoanalysis · Jacques Lacan · p.123

    **Seminar 9: 2 February 1966**

    Theoretical move: Lacan reads Pascal's Wager as a structural staging of the subject's relation to the Real, arguing that the "nothing" wagered (the life at stake) is not mere nullity but the Objet petit a as cause of desire — that fleeting, ungraspable object — and that chance (*hasard*) must be understood as the Real qua impossible-to-question, radically distinct from modern probability theory.

    Never has this infinite distance, namely, what it means, been really taken into consideration.

28. #28

    Seminar XVI · From an Other to the other · Jacques Lacan · p.169

    Seminar 10: Wednesday 5 February 1969 > **Seminar 11: Wednesday 12 February 1969**

    Theoretical move: Lacan uses Pascal's wager as a structural matrix for desire, arguing that the objet petit a (the "o-object") has neither use nor exchange value but is precisely what animates the relationship of the subject to the word and to the act — thereby displacing Hegel's fight-to-the-death for pure prestige as the paradigm of risk, and grounding this in the Name of the Father as inaugurated by Freud.

    there is no doubt that the stake, infinite in so far as it is on the right, on the side of the existence of God, is a much more interesting stake

29. #29

    Seminar XVI · From an Other to the other · Jacques Lacan · p.338

    Seminar 21: Wednesday 21 May 1969

    Theoretical move: Lacan argues that enjoyment (jouissance) is structurally excluded from the symbolic system of knowledge, yet is thereby realised as the Real; this exclusion—figured through the phallic signifier—organises all clinical structures (neurosis/psychosis), and the triad of enjoyment, the Other as locus of knowledge, and the objet petit a provides the proper framework for understanding both infantile biography and the analytic encounter.

    this number greater than any other can precisely not be posited... the whole series of integers takes on its character... of being something that is in the real. This very impossibility is what the real arises from

30. #30

    Seminar XVI · From an Other to the other · Jacques Lacan · p.145

    Seminar 10: Wednesday 5 February 1969

    Theoretical move: Lacan reworks Pascal's wager through the mathematical logic of repetition and the genesis of objet petit a (o), arguing that the wagering subject's very existence is constituted by the act of inscription/writing rather than by philosophical conceptualization, and that the zero in Pascal's matrix marks not a neutral outcome but the constitutive loss of the bet and the possibility of refusing to play — a structure homologous to the entry of life into the symbolic game of repetition.

    the division, the bi-partition of two infinities, marking that this is what is fundamentally in question in Pascal's wager. The infinity on which it is based is the infinity of number.

31. #31

    Seminar XIX · …or Worse · Jacques Lacan · p.131

    Seminar 9: Wednesday 10 May 1972

    Theoretical move: Lacan uses mathematical logic (Boole, Frege, Cantor) to argue that Truth can only "half-say" itself — that 0 is not the negation of 1 but the mark of a constitutive lack, such that the impossibility of reaching 2 from 0 and 1 formally mirrors the impossibility of the sexual relationship and the inaccessibility of the Real; the analyst's position as semblance of Objet petit a grounds a non-initiatory knowledge of truth that is structural, not esoteric.

    It was in order to make you sense, in passing, that in the generation from one cardinal number to another, in the counting of subsets, something somewhere is counted as such which is another One... the actual infinite, is what is produced in the same case.

32. #32

    Seminar XIX · …or Worse · Jacques Lacan · p.116

    Seminar 8: Wednesday 19 April 1972

    Theoretical move: Lacan uses the history of mathematics—from the Pythagorean irrationals through Cantor's set theory—to argue that the One cannot be grounded on sameness but only on pure difference and lack: the empty set is the constitutive "door" through which the One first emerges, and this structural priority of lack over identity is what Lacan designates as the matheme.

    the cardinal of the infinite is symbolised, this numerical infinity, this infinite that Cantor calls improper and which is made up of elements of what constitutes the first proper infinity, namely, the ℵ₀ in question

33. #33

    Seminar XIX bis · The Knowledge of the Psychoanalyst · Jacques Lacan · p.111

    The Psychoanalyst's Knowledge > **4 1 \* May 1972**

    Theoretical move: Lacan argues that the absence of the sexual relationship is grounded not in biological or metaphysical mythology (Eros-as-fusion) but in the formal structure of the sexuation formulae and set theory: the One emerges from a foundational lack (the empty set), which means sex as the dual-real can never produce a relationship, only two irreducible ones.

    what characterises the infinite set is properly speaking to be posited as equivalent to one or other of its subsets... as Galileo had already remarked... the series of all squares is a bi-univocal correspondence with each one of the whole numbers.

34. #34

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.17

    On Feminine Sexuality The Limits of Love and Knowledge > On jouissance

    Theoretical move: Lacan argues that sexual jouissance is structurally defined by an impasse—the impossibility of the sexual relationship—and uses topological concepts (compactness, open sets, finity) to articulate how phallic jouissance constitutes an obstacle to jouissance of the Other, while the Not-all marks the female pole's irreducible remainder. Love is revealed as narcissistic, and its object-like substance is in fact the objet petit a as remainder in desire.

    A number has a limit and it is to that extent that it is infinite. It is quite clear that Achilles can only pass the tortoise - he cannot catch up with it. He only catches up with it at infinity (infinitude).

35. #35

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.112

    **VII** > 92 Complement

    Theoretical move: Lacan uses the distinction between the infinite and the finite to recast the logic of the not-all (pas-toute): in the finite, not-all implies a particular exception, but in the infinite the not-all produces only an indeterminate existence that cannot be constructed—grounding his claim that Woman cannot be written (barred) and that feminine jouissance exceeds the phallic function.

    But we could, on the contrary, be dealing with the infinite. Then it is no longer from the perspective of extension that we must take up the not-whole (pas-toute).

36. #36

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.219

    J.Lacan-... of this?

    Theoretical move: The passage argues that the 'not-all' logic governing Woman cannot be read through finite Aristotelian particularity (which would imply an exceptional existence), but only through the infinite—where no determinate exception can be constructed—grounding Lacan's claim that Woman is properly half-said, and that her enjoyment is of the order of the infinite rather than the phallic universal.

    once you are dealing with an infinite set, you cannot posit that the not-all involves the ex-sistence of something that is produced from a negation, from a contradiction.

37. #37

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.28

    **Seminar 2: Wednesday 12 December 1972**

    Theoretical move: Recanati's presentation, guided by Lacan, develops the concept of "sectioning of the predicate" as the structural impossibility at the heart of predication — the cut that divides yet cannot find the indivisible — linking it through ordinal number theory, Platonic myth (Aristophanes' sexion/cut, Diotima's intermediary/interpretant), and the logic of nomination to show that the 'encore' names the infinite index that escapes any system of covering-over, while the 'non' names the radical initial negation that infinitises all nomination.

    the encore is the index of the infinite... the infinite is already there, it is given from the beginning in the homonymy of the name and of the nom

38. #38

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.209

    J.Lacan-... of this?

    Theoretical move: Recanati's intervention uses Berkeley's semiotics and Kierkegaard's relation to Régine to interrogate whether 'supplementary feminine jouissance' can be anything other than the signifier of masculine quest/fatum, deploying the not-all and the barred Other to show that the Woman's relationship to the big Other resists masculine perspectival capture, while the Kierkegaard example maps the masculine dilemma (exclusion vs. mediated relation to God) onto the Splitting of the Subject, from which the woman is structurally exempt.

    the infinite quest and moreover its hypothetical term...the infinite derivation of its effects starting from an initial rupture

39. #39

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.55

    **Seminar 2: Wednesday 12 December 1972**

    Theoretical move: Lacan develops a logic of substance and predicate in which substance is structurally defined as what is lacking, so that predication is itself the covering-over of lack; this relay-structure—where each predicate provisionally takes the place of substance only to be displaced by the next—is identified as the operation of Being qua discourse, and language is consequently positioned as what represents Being for the word, leaving the gap of impossibility permanently open.

    And this at infinity, namely, that once a substance is given, it is inscribed by being actualised by the predicates that are applied to it... the finite is what is woven between two infinites.

40. #40

    Seminar XX · Encore: On Feminine Sexuality, the Limits of Love and Knowledge · Jacques Lacan · p.11

    **Seminar 1: Wednesday 21 November 1972**

    Theoretical move: Lacan opens Seminar XX by grounding the impossibility of the sexual relation in the structural gap between jouissance (phallic enjoyissance) and love: love aims at making One but can only produce narcissistic identification, while enjoyment of the Other's body is neither necessary nor sufficient as a response to love, with the Not-all (pas-toute) marking woman's asymmetrical position relative to phallic jouissance.

    A number has a limit and it is in that measure that it is infinite... Achilles can only overtake the tortoise, he cannot rejoin it. But he can only rejoin it in infinitude.

41. #41

    Seminar XXII · R.S.I. · Jacques Lacan · p.140

    **Introduction** > **Seminar 9: Tuesday 8 April 1975**

    Theoretical move: Lacan argues that the Imaginary is structurally "stuck" in the sphere-and-cross figure (a pre-topological image of the body), and that the Borromean knot represents the proper topological instrument for escaping this captivity — linking the knot's discovery to the analytic discourse as a new social bond and to the Freudian "hole" in the universe, while insisting that truth can only be half-said.

    The straight line, infinite of course as I said, stated at the beginning of this seminar…If the straight line is an infinite straight line, and how not refer to it as the string in itself, the consistency reduced to the last it has, well then, it makes a knot!

42. #42

    Seminar XXIII · The Sinthome · Jacques Lacan · p.177

    Seminar 10: Wednesday 13 April 1976 > There you are!

    Theoretical move: Lacan advances the Borromean knot as the first genuine philosophical writing—a "logic of sacks and cords"—and uses Joyce's anomalous relationship to his own body (body-as-foreign, affect that "drains away" like a fruit skin) to theorise a specific ego-function that writing fulfils when the normal bodily imaginary fails, distinguishing this from the Freudian Unconscious as ignorance of the body.

    I write as DI. DI, are initials and they mean infinite straight line (droite infinie). The infinite straight line in question... I characterise by its equivalence to the circle (XI-1), it is the principle of the Borromean knot.

43. #43

    Seminar XXIII · The Sinthome · Jacques Lacan · p.20

    Seminar 1: Wednesday 18 November 1975

    Theoretical move: By introducing an infinite straight line into a "false hole," Lacan demonstrates topologically that this operation converts it into a genuine Borromean hole — the infinite line playing the structural role that allows the knot to subsist. Hegel's figure of the circle is invoked as a philosophical precursor that grasped circularity's function, though without addressing the Borromean stakes.

    We will have to come back in the course of the year to what this infinite is.

44. #44

    Seminar XXIV · L'insu que sait de l'une-bévue s'aile à mourre · Jacques Lacan · p.98

    **Seminar 8: Wednesday 8 March 1977**

    Theoretical move: The passage pivots on the relation between the Real, the universal, and sense: Lacan argues that the Real is defined by the exclusion of all sense and by impossibility (what does not cease not to be written), yet psychoanalysis as a practice depends on words having import — a tension he navigates by revisiting the Four Discourses, specifically the Discourse of the Analyst, to show how the barred subject holds the place of Truth through Knowledge, while the gap between S1 and S2 marks an irreducible incompletion.

    There is a choice to be made between actual infinity which can be circular, on condition that there is no origin that can be designated, and the enumerable knot, namely, finite.

45. #45

    Seminar V · Formations of the Unconscious · Jacques Lacan · p.306

    **SYMPTOMS AND THEIR MASKS**

    Theoretical move: Lacan argues that the original Freudian discovery of unconscious desire must be recovered against the distorting backdrop of contemporary psychoanalytic normativization: early Freudian interpretations derived their efficacy precisely from the absence of a pre-formed cultural framework, whereas today the analyst's intervention is weighted by an implicit normative horizon that obscures desire's essential link to its mask (symptom), making desire structurally unarticulable even when articulated.

    whether an analysis comes to an end or must be situated in a kind of infinite range ... Freud points out the projection to infinity of the aim of analysis.

46. #46

    Seminar VII · The Ethics of Psychoanalysis · Jacques Lacan · p.324

    **XXIII** > **XXIV**

    Theoretical move: Lacan's ethics of psychoanalysis is grounded not in the service of goods or traditional moral regulation, but in the question "Have you acted in conformity with your desire?" — a standard derived from the topology of desire that both tragedy and comedy reveal, and which Kant's categorical imperative partially anticipates but fails to complete, leaving a void that psychoanalysis identifies as the place of desire.

    Our experience gives rise to a reversal that locates in the center an incommensurable measure, an infinite measure, that is called desire.

47. #47

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > PREFACE TO THE FIRST EDITION, 1781

    Theoretical move: Kant's preface establishes that pure reason necessarily generates antinomies and contradictions when it oversteps the limits of experience, and proposes a "tribunal" of critical self-examination—the Critique of Pure Reason itself—as the only legitimate method to determine reason's extent, limits, and validity a priori, against both dogmatism and skepticism.

    its labours must remain ever incomplete, because new questions never cease to present themselves

48. #48

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > PREFACE TO THE SECOND EDITION, 1787

    Theoretical move: Kant argues that the central problem of pure reason is "How are synthetical judgements a priori possible?"—establishing that mathematics, physics, and metaphysics all rest on such judgements, and that critique (rather than dogmatic or skeptical procedure) is the only path to grounding them securely.

    this science cannot be of great and formidable prolixity, because it has not to do with objects of reason, the variety of which is inexhaustible, but merely with Reason herself and her problems

49. #49

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > SECTION II. Of Time.

    Theoretical move: Kant establishes time as a pure a priori form of inner intuition—not an empirical concept or objective property of things in themselves—grounding its empirical reality (as condition of all experience) while denying its absolute/transcendental reality, thereby laying the epistemological architecture of ideality that Lacan will later inherit when theorizing the subject's temporal structure and the conditions of the Symbolic and Real.

    The infinity of time signifies nothing more than that every determined quantity of time is possible only through limitations of one time lying at the foundation.

50. #50

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > TRANSCENDENTAL LOGIC. FIRST DIVISION. > CHAPTER I. Of the Transcendental Clue to the Discovery of all Pure Conceptions of the Understanding.

    Theoretical move: Kant argues that the understanding, as a purely discursive (non-intuitive) faculty, operates exclusively through judgements, and that by systematically cataloguing the logical functions of unity in judgements (quantity, quality, relation, modality), one can derive a complete and principled table of the pure conceptions of the understanding—establishing a transcendental logic that goes beyond formal logic by attending to the content/worth of cognition, not merely its form.

    in respect of the content of their cognition, merely limitative; and are consequently entitled to a place in our transcendental table of all the momenta of thought in judgements

51. #51

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK II. > 2. ANTICIPATIONS OF PERCEPTION.

    Theoretical move: Kant argues that all reality in phenomena possesses intensive quantity (degree), knowable a priori, establishing a continuous scale between full sensation and negation=0; this "Anticipation of Perception" constitutes a synthetic a priori cognition about the matter of experience itself, while the specific quality of sensation remains irreducibly empirical.

    between reality and negation there exists a continuous connection of possible realities, and possible smaller perceptions... no part of them is the smallest possible (no part simple), is called their continuity.

52. #52

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECOND CONFLICT OF TRANSCENDENTAL IDEAS.

    Theoretical move: Kant's Second Antinomy of Pure Reason stages the dialectical conflict between the thesis (composite substance reduces to simple parts) and the antithesis (no simple substance exists), demonstrating that pure reason generates irresolvable contradictions when it over-reaches empirical conditions — a structural illustration of the limits of speculative thought that Lacanian theory inherits via Hegel.

    The first merely banishes the simple from the intuition of the composite; while the second drives it entirely out of nature.

53. #53

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > APPENDIX.

    Theoretical move: Kant argues that the systematic unity of nature required by reason rests on three transcendental principles—homogeneity, specification, and continuity of forms—which are not empirical hypotheses but regulative ideas of reason that make experience and understanding possible, yet find no fully adequate object in experience itself.

    the intermediate members lying between two given species must be infinite in number, which is impossible.

54. #54

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION V. Sceptical Exposition of the Cosmological Problems presented in the four Transcendental Ideas.

    Theoretical move: Kant argues that cosmological ideas systematically generate antinomies because they are structurally either "too large" or "too small" for any possible empirical conception of the understanding, and that this structural mismatch exposes the cosmological ideas as groundless fictions untethered from possible experience—a finding that motivates the sceptical/critical method over dogmatic metaphysics.

    if it is infinite and unlimited, it must be too large for every possible empirical conception

55. #55

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > ON THE ANTITHESIS.

    Theoretical move: Kant stages the antithesis position in the Third Antinomy: the defender of universal natural causality argues that positing a dynamical first cause (transcendental freedom) is unnecessary and destructive of the lawful, continuous nexus of nature, while acknowledging that an infinite causal regress is equally incomprehensible—thus establishing the genuine antinomial tension between nature and freedom.

    The possibility of such an infinite derivation, without any initial member from which all the others result, is certainly quite incomprehensible.

56. #56

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > APPENDIX.

    Theoretical move: Kant argues that transcendental ideas of pure reason, while incapable of constitutive use (as conceptions of actual objects), have a legitimate regulative employment as "focus imaginarius" guiding the understanding toward systematic unity; this regulative/constitutive distinction is grounded in the difference between reason's logical (hypothetical) and transcendental (apodeictic) deployments.

    we direct the aims of the understanding, beyond every given experience, towards an extension as great as can possibly be attained.

57. #57

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION II. Of the Transcendental Ideal (Prototypon Trancendentale).

    Theoretical move: Kant establishes the Transcendental Ideal (ens realissimum) as the necessary but purely regulative idea of reason—the sum-total of all reality functioning as the a priori condition for the complete determination of every possible thing—while warning that hypostatizing this ideal into an actually existing Supreme Being constitutes an illegitimate dialectical illusion.

    just as all figures are possible only as different modes of limiting infinite space.

58. #58

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION IX. Of the Empirical Use of the Regulative Principle of Reason with regard to the Cosmological Ideas.

    Theoretical move: Kant resolves the first two cosmological antinomies by converting the dialectical (constitutive) principle of reason into a regulative one: the empirical regress in the series of conditions proceeds not in infinitum (which would presuppose a given infinite totality) but in indefinitum, because the world of sense is never given as a complete whole but only through the regress itself.

    the regress proceeds from the conditioned to its conditions in infinitum... We are not, however, entitled to affirm of a whole of this kind, which is divisible in infinitum, that it consists of an infinite number of parts.

59. #59

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION III. Of the Arguments employed by Speculative Reason in Proof of the Existence of a Supreme Being.

    Theoretical move: Kant argues that speculative reason's three paths to proving God's existence (ontological, cosmological, physico-theological) all ultimately fail, because the inference from contingent existence to a necessary being (ens realissimum) cannot be logically secured, even though this move is a natural and irresistible tendency of human reason; the practical weight of these arguments can only be salvaged by appeal to practical rather than theoretical grounds.

    if it be not, in one word, infinite in its reality

60. #60

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION V. Of the Impossibility of a Cosmological Proof of the Existence of God.

    Theoretical move: Kant demonstrates that the cosmological proof of God's existence secretly presupposes the ontological argument it claims to avoid: by grounding necessary existence in the concept of the ens realissimum, it smuggles in an a priori inference from pure conception, revealing the cosmological argument to be a disguised repetition of the ontological one and thus equally illusory.

    From the impossibility of an infinite ascending series of causes in the world of sense a first cause is inferred

61. #61

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION I. System of Cosmological Ideas.

    Theoretical move: Kant defines and distinguishes "cosmological ideas" as directed toward the unconditioned totality of phenomena, differentiating the mathematically unconditioned (cosmical conceptions proper) from the dynamically unconditioned (transcendent physical conceptions), while clarifying that these ideas remain transcendent in degree though not in kind relative to the world of sense.

    world, in the transcendental sense, signifies the absolute totality of the content of existing things, and we are directing our attention only to the completeness of the synthesis

62. #62

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION V. Of the Impossibility of a Cosmological Proof of the Existence of God.

    Theoretical move: Kant argues that the cosmological proof of God's existence fails because the ideas of necessity and supreme reality are not objective properties of things but merely regulative principles of reason; the unavoidable illusion arises when reason illegitimately converts a regulative principle into a constitutive one—hypostatizing the ideal of the ens realissimum as a real, necessary being.

    the other forbidding us ever to hope for the attainment of this completeness, that is, to regard no member of the empirical world as unconditioned

63. #63

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION I. The Discipline of Pure Reason in the Sphere of Dogmatism.

    Theoretical move: Kant argues that mathematical and philosophical reason differ fundamentally in procedure: mathematics constructs conceptions a priori in pure intuition (yielding genuine definitions), while philosophy can only analyze given conceptions (yielding mere expositions), making the mathematical method inapplicable and even dangerous when imported into philosophical/transcendental inquiry.

    hope still beckoning us past the limits of experience into the splendours of the intellectual world

64. #64

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION VII. Critical Solution of the Cosmological Problem.

    Theoretical move: Kant resolves the cosmological antinomy by exposing the transcendental illusion that treats phenomena as things-in-themselves; once this assumption is dropped, the opposed propositions (finite/infinite world) constitute a merely dialectical—not analytical—opposition, both of which can be false, thereby furnishing an indirect proof of transcendental idealism.

    If the world is a whole existing in itself, it must be either finite or infinite. But it is neither finite nor infinite—as has been shown, on the one side, by the thesis, on the other, by the antithesis.

65. #65

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION II. Of Transcendental Ideas.

    Theoretical move: Kant argues that reason's regressive movement toward conditions demands a completed totality of grounds given a priori, while its progressive movement toward consequences requires no such totality—this asymmetry is constitutive of the transcendental demand for unconditioned completeness that drives reason beyond possible experience.

    it may not possess this, and so be a parte priori unlimited; but it must, nevertheless, contain totality of conditions

66. #66

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > ON THE ANTITHESIS.

    Theoretical move: Kant argues that the antithesis position (world as infinite) is sustained because positing cosmological limits necessarily requires void space and void time as bounding conditions; attempts to escape this by appealing to an intelligible world (mundus intelligibilis) fail because they illegitimately abstract away the conditions of sensibility on which the phenomenal world depends.

    The proof in favour of the infinity of the cosmical succession and the cosmical content is based upon the consideration that, in the opposite case, a void time and a void space must constitute the limits of the world.

67. #67

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION II. Of Transcendental Ideas.

    Theoretical move: Kant argues that pure reason, by seeking the unconditioned totality of conditions beyond any given synthesis, generates transcendental ideas—necessary but immanently inapplicable conceptions—that function not as constitutive but as regulative canons orienting the understanding toward an absolute unity it can never fully attain in experience.

    every series, whose exponent (of the categorical or hypothetical judgement) is given, can be continued; consequently the same procedure of reason conducts us to the ratiocinatio polysyllogistica, which is a series of syllogisms, that can be continued either on the side of the conditions (per prosyllogismos) or of the conditioned (per episyllogismos) to an indefinite extent.

68. #68

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > OBSERVATIONS ON THE SECOND ANTINOMY.

    Theoretical move: Kant uses the Second Antinomy (simplicity vs. infinite divisibility of composite substances) to demarcate the transcendental conditions under which claims about the simple and the composite are valid: the thesis (monadology) holds for substances grasped by pure understanding, while the antithesis (infinite divisibility) holds necessarily for phenomena in space; and the special case of the thinking Ego as 'absolute simple substance' is exposed as a dialectical illusion arising from mistaking the unity of self-consciousness for real ontological simplicity.

    Against the assertion of the infinite subdivisibility of matter whose ground of proof is purely mathematical, objections have been alleged by the Monadists.

69. #69

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > OBSERVATIONS ON THE FIRST ANTINOMY.

    Theoretical move: Kant argues that the true transcendental conception of infinity—as an incompletable successive synthesis—entails that the world must have a beginning in time, since an actually completed infinite series of prior states is impossible; the same logic applied to spatial extension shows that the totality of an infinite world cannot be cogitated, because totality requires a completed synthesis that cannot be achieved.

    The true (transcendental) conception of infinity is: that the successive synthesis of unity in the measurement of a given quantum can never be completed.

70. #70

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION VI. Of the Impossibility of a Physico-Theological Proof.

    Theoretical move: Kant demonstrates that the physico-theological (design) argument cannot stand alone as a proof of God's existence: it secretly depends on the cosmological argument, which in turn depends on the ontological argument, making the ontological proof the sole possible ground for speculative theology—while simultaneously showing that no such empirical path can bridge the gap to the unconditioned.

    The transcendental idea of a necessary and all-sufficient being is so immeasurably great, so high above all that is empirical, which is always conditioned, that we hope in vain to find materials in the sphere of experience sufficiently ample for our conception

71. #71

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > FOURTH CONFLICT OF THE TRANSCENDENTAL IDEAS.

    Theoretical move: Kant's Fourth Antinomy stages a dialectical conflict over whether an absolutely necessary being exists: the Thesis argues that the regress of conditioned changes demands an unconditioned necessary being within the world, while the Antithesis demonstrates that positing such a being either inside or outside the world generates irresolvable contradictions, leaving the cosmological idea of absolute necessity without a coherent object.

    the series itself is without beginning, and, although contingent and conditioned in all its parts, is nevertheless absolutely necessary and unconditioned as a whole

72. #72

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > APPENDIX.

    Theoretical move: Kant argues that the idea of systematic unity functions solely as a regulative principle for the employment of reason in nature; converting it into a constitutive principle by hypostatizing a Supreme Intelligence commits a "perverted reason" (usteron proteron rationis), generating circular arguments and illusions rather than extending genuine cognition.

    the regulative law of systematic unity requires us to study nature on the supposition that systematic and final unity in infinitum is everywhere discoverable

73. #73

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION VIII. Regulative Principle of Pure Reason in relation to the Cosmological Ideas.

    Theoretical move: Kant distinguishes a regulative principle of pure reason (prescribing the endless empirical regress through conditions) from a constitutive cosmological principle (which would posit absolute totality as an object), arguing that the former is valid as a rule for inquiry while the latter generates a transcendental illusion by falsely attributing objective reality to the idea of totality; this is further refined by the distinction between regressus in infinitum (where a whole is empirically given) and regressus in indefinitum (where no such whole is given prior to the regress).

    whether I can say: 'It is a regress in infinitum,' or only 'in indefinitum'

74. #74

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION IX. Of the Empirical Use of the Regulative Principle of Reason with regard to the Cosmological Ideas.

    Theoretical move: Kant distinguishes mathematical from dynamical antinomies to argue that while mathematical cosmological ideas require homogeneous sensuous conditions (forcing both sides false), dynamical ideas admit an intelligible, non-phenomenal condition that stands outside the series, thereby allowing nature and freedom to coexist without contradiction—freedom as a transcendental idea grounding practical freedom through the distinction between phenomena and things-in-themselves.

    Infinite divisibility is applicable only to a quantum continuum, and is based entirely on the infinite divisibility of space

75. #75

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION IV. Of the necessity imposed upon Pure Reason of presenting a Solution of its Transcendental Problems.

    Theoretical move: Kant argues that transcendental philosophy is uniquely self-obligating: because its cosmological questions are generated entirely from within reason's own ideas (not from empirical objects), reason cannot plead ignorance—it must produce a critical (not dogmatical) solution by interrogating the basis of its own cognition rather than seeking an external object.

    whether it is infinitely extended, or enclosed within certain limits—whether anything in the world is simple, or whether everything must be capable of infinite divisibility

76. #76

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION I. System of Cosmological Ideas.

    Theoretical move: Kant constructs a systematic table of four Cosmological Ideas by elevating the relational categories to the unconditioned through regressive synthesis, arguing that reason necessarily demands absolute totality on the side of conditions (not consequences), thereby generating the antinomies of pure reason around the unconditioned as either an infinite series or a first member.

    the regressus is called infinite; or the absolutely unconditioned is only a part of the series, to which the other members are subordinated

77. #77

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > OBSERVATIONS ON THE FOURTH ANTINOMY.

    Theoretical move: Kant demonstrates that the cosmological argument for a necessary being cannot legitimately leap from empirical contingency (change in phenomena) to intellectual/categorial contingency, because change only proves empirical conditionality within the temporal series, not the transcendental contingency required to ground an absolutely necessary cause outside that series; the antinomy itself reveals that reason's discord arises from attending to the same object from two incompatible standpoints.

    the whole time past contains the series of all conditions, and with it, therefore, the unconditioned (the necessary)

78. #78

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > CHAPTER III. The Ideal of Pure Reason. > SECTION VII. Critique of all Theology based upon Speculative Principles of Reason.

    Theoretical move: Kant argues that all speculative/theoretical attempts to establish theology through pure reason are fruitless, because the principles of the understanding (including causality) are valid only immanently within experience and cannot be extended transcendentally to a Supreme Being; yet transcendental theology retains a negative utility in purifying and regulating the concept of a necessary being, with its positive establishment reserved for moral (practical) theology.

    The attributes of necessity, infinitude, unity, existence apart from the world... eternity (free from conditions of time), omnipresence (free from conditions of space), omnipotence... are pure transcendental predicates

79. #79

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > TRANSCENDENTAL LOGIC. SECOND DIVISION. > C. OF THE PURE USE OF REASON.

    Theoretical move: Kant argues that pure reason, unlike the understanding, does not legislate to objects or experience directly but operates as a faculty that seeks the unconditioned totality of conditions for any given conditioned cognition—a principle that is synthetical a priori yet necessarily transcendent (not immanent), thereby generating the illusions that Transcendental Dialectic must diagnose and dissolve.

    a series which is consequently itself unconditioned—is also given, that is, contained in the object and its connection

80. #80

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > FIRST CONFLICT OF THE TRANSCENDENTAL IDEAS.

    Theoretical move: Kant's First Antinomy stages a formal dialectical contradiction between the Thesis (the world has a finite beginning in time and limited extension in space) and the Antithesis (the world is infinite in time and space), demonstrating that pure reason inevitably generates irresolvable conflict when it attempts to totalize empirical series into an unconditioned whole — a paradigm case of the Transcendental Ideas exceeding the bounds of possible experience.

    the infinity of a series consists in the fact that it never can be completed by means of a successive synthesis. It follows that an infinite series already elapsed is impossible

81. #81

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION IX. Of the Empirical Use of the Regulative Principle of Reason with regard to the Cosmological Ideas.

    Theoretical move: Kant resolves the Fourth Antinomy by distinguishing the dynamical from the mathematical regress: an intelligible, necessary being can serve as the non-empirical ground of phenomenal contingency without forming a member of the empirical series, thus the regulative principle of reason governs phenomena while leaving open—without proving—a transcendental ground beyond them. This move also marks the threshold at which cosmological ideas become transcendent, compelling the transition to rational theology.

    it continues its operations on the principle of the contingency of all phenomena, proceeding from empirical conditions to still higher and higher conditions, themselves empirical

82. #82

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION III. System of Transcendental Ideas.

    Theoretical move: Kant establishes a systematic deduction of the three classes of transcendental ideas (soul, world, God) from the three forms of syllogism and the unconditioned unity they each demand, arguing that these ideas—unlike the categories—have no objective deduction and serve only the regulative function of ascending toward the unconditioned in the series of conditions.

    the sole aim of pure reason is the absolute totality of the synthesis on the side of the conditions... transcendental ideas are available only for ascending in the series of conditions, till we reach the unconditioned

83. #83

    Critique of Pure Reason · Immanuel Kant

    THE CRITIQUE OF PURE REASON > BOOK I. > SECTION III. Of the Interest of Reason in these Self-contradictions.

    Theoretical move: Kant stages the antinomy of pure reason as an irreducible conflict between Dogmatism (thesis) and Empiricism (antithesis) in the determination of cosmological ideas, arguing that neither side can be settled by theoretical reason alone and that the tension itself points toward the need to locate the source of the conflict in reason's own structure rather than in the objects it investigates.

    every event is preceded by another event which is its cause; and the conditions of existence rest always upon other and still higher conditions, and find neither end nor basis in some self-subsistent thing as the primal being.

84. #84

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.70

    Orthopsycbism > The Mirror as Screen > Achilles and the Tortoise

    Theoretical move: Copjec argues that Lacanian theory inverts the Derridean logic of deconstruction: rather than totality being an illusion masking infinite difference, it is the closed totality (the limit) that is the very condition of possibility for infinite difference and the production of meaning—the subject is finite, and it is this finitude that causes the infinity of desire.

    'To the extent that a number has a limit, it is infinite. Clearly, Achilles can only overtake the tortoise, he cannot catch up with her. He rejoins her only in infinity.'

85. #85

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.202

    Locked RoomILonely Room

    Theoretical move: Copjec argues that film noir's characteristic "lonely room" architecture — depopulated, emptied of desire and interpretability — is the spatial correlative of the drive's displacement of the big Other: where classical detection produces an infinite interpretable space (the locked room), noir produces a space of pure being, where the intrusion of objet petit a (the grain of the voice, private jouissance) into the phenomenal public field depletes rather than enriches social reality, and the hero's choice of jouissance over the signifying network yields a satisfying "nothing."

    the infinite, inexhaustible space of the older model--exemplarily realized in the paradox of the locked room-gives way in noir to its inverse: the lonely room

86. #86

    How (Not) to Speak of God · Peter Rollins

    HOW (NOT) TO SPEAK OF GOD > Part 1 > *The third mile* > *Infinite readings and transfinite readings*

    Theoretical move: The passage argues that biblical interpretation is bounded by a "transfinite" rather than infinite range of legitimate readings, and that this hermeneutics must be governed by a "prejudice of love" oriented toward the singular other — a "double hermeneutic" that reads both tradition and the encountered situation, and which may demand the paradoxical abandonment of one's tradition in order to remain faithful to it.

    While we must acknowledge that the Bible holds such a wealth of meaning that it can be read in a never-ending number of ways, this does not mean that it can be read in an infinite number of ways.

87. #87

    Abolishing Freedom: A Plea for a Contemporary Use of Fatalism · Frank Ruda

    The End of All Things > How to Do Things with Actions: The Moral World

    Theoretical move: The passage reconstructs Carl Christian Erhard Schmid's Kantian moral rationalism as a system built on a series of necessary impossibilities: pure rational action is theoretically impossible yet practically necessary, and this tension—mediated by concepts of the categorical imperative, respect, autonomy, and the postulate of God—transforms the natural world into a moral 'splace,' a space of rational-moral causality inscribed within phenomenal reality.

    an absolute end can be only a pure law that is necessarily unconditional, thus good without exception, internally infinite, and actively realized

88. #88

    Abolishing Freedom: A Plea for a Contemporary Use of Fatalism · Frank Ruda

    Hegel and Absolute Fatalism > To Philosophical . . .

    Theoretical move: Ruda argues that Hegel's philosophy radicalizes finitude to the point of its own dissolution, thereby grounding a genuinely 'absolute fatalism' that is more subtractive than any prior philosophical rationalism—one that reveals nothing to reveal, and identifies freedom not with capacity but with the vanishing of all grounds, including finitude itself.

    Hegel's philosophy avoids the assumption of any stable transhistorical or transcendental ground and radicalizes the idea of finitude itself

89. #89

    Abolishing Freedom: A Plea for a Contemporary Use of Fatalism · Frank Ruda

    Abolishing (Aristotelian) Freedom > God the Extimate

    Theoretical move: By following Descartes's logic of thinking the unthinkable (God as lack of lack, infinite will), the passage argues that freedom can only be encountered when one is forced to do what one cannot do — making freedom structurally analogous to the Real: it vanishes the moment it is predicated on the subject, and can only be thought as that which cannot be thought.

    (3) we characterize this being of the lack of lack as infinite; and (4) thereby infinity becomes the infinity of his will

90. #90

    Abolishing Freedom: A Plea for a Contemporary Use of Fatalism · Frank Ruda

    Abolishing (Aristotelian) Freedom > God the Extimate

    Theoretical move: The passage argues that Descartes's concept of God operates as an *extimate* cause — an external determination that inhabits the innermost kernel of thought — and that this structure collapses the inside/outside dualism: God is not a natural capacity within us nor a mere external fortune, but an undecidable necessity/contingency that is the condition of all eternal truths, making fatalism the precondition of genuine thought about freedom.

    This is why it can be characterized by the concept of the infinite, of 'actual infinity' and not of Aristotelian potential infinity.

91. #91

    Abolishing Freedom: A Plea for a Contemporary Use of Fatalism · Frank Ruda · p.103

    The End of All Things > Brief Addendum: Kant with Schmid

    Theoretical move: By reading Kant's "The End of All Things" alongside Schmid's conflict of determinisms, Ruda argues that reason is structurally compelled to imagine its own total end: without this act of totalization, the struggle between phenomenal and noumenal determinism collapses into a mere human condition (existentialist fatalism), so imagining the apocalypse is itself a rational, and therefore quasi-fatalist, imperative.

    This is the only way for reason to reassert itself against the bad infinity of the conflict.

92. #92

    The Singularity of Being: Lacan and the Immortal Within · Mari Ruti · p.36

    1. *The Singularity of Being* > *Repetition as Destiny* > *The Stain of Infi nity*

    Theoretical move: Jouissance is theorized not as an ideal to be pursued but as an inescapable "stain" that infinitizes the finite from within, making any ethics grounded solely on finitude disingenuous; this parasitism of jouissance connects the lamella-like undeadness of the subject to the infinity associated with Das Ding, the death drive, and the sublime.

    it is our gnawing sense of being somehow less than fully self-realized, of lacking 'resolution,' as it were, that makes us reach for the transcendent. Indeed, one could say that it is when the lack caused by the signifier meets the (earlier, more originary) lack of the real that the spark of infinity gets ignited.

93. #93

    The Singularity of Being: Lacan and the Immortal Within · Mari Ruti · p.168

    7. *The Ethics of Sublimation* > *The Crisis of Sublimation*

    Theoretical move: The passage argues that a "crisis of sublimation" — the weakening of the sublimatory force to produce distance from the reality principle — collapses the gap between ideology and reality, making the status quo appear natural and inevitable; genuine ethics, by contrast, consists in preserving access to the infinite/the Thing against this foreclosure.

    Badiou calls for a philosophical 'securization of infinity' (2002, 20). What both thinkers are getting at is that ethics should be a matter of making sure that we do not shun all forms of infinitude

94. #94

    The Singularity of Being: Lacan and the Immortal Within · Mari Ruti · p.220

    8. *The Sublimity of Love* > *Making the Sublime "Appear"* > *The Victim vs. the Immortal*

    Theoretical move: The passage argues that the universalist rhetoric of Badiou and Žižek fails on its own terms: by privileging a disembodied "immortal subject" over the material realities of social victimization, it covertly re-instates a hierarchy of humanness that blames the victimized for their condition, thereby enacting the very hegemonic power it purports to oppose.

    ethics is not a question of the 'rights of survival against misery,' but rather of 'the rights of the Immortal,' 'of the Infinite'

95. #95

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.176

    **Locked Room/Lonely Room: Private Space in Film Noir** > **The Locked-Room Paradox and the Group**

    Theoretical move: Copjec argues that the "locked-room paradox" in detective fiction is the structural equivalent of language's internal limit: the excess element is not a hidden surplus beneath the structure but the limit immanent to it, which is why the detective's interpretive act is constitutively desire—the quasi-transcendental principle that posits a gap irreducible to evidence—and why the sexual relation is structurally foreclosed from the genre by the absence of the final, woman-signifier.

    the locked room is a space that contains an excess element, its own limit, and this limit alone is what guarantees the infinity of its contents

96. #96

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.192

    **Locked Room/Lonely Room: Private Space in Film Noir** > **Locked Room/Lonely Room**

    Theoretical move: Copjec argues that film noir enacts a structural shift from the "locked room" of classical detection (governed by a benevolent-impotent Other that conceals and yields meaning) to the "lonely room" (governed by the drive), where the intrusion of the non-phenomenal private realm—the object a, the grain of the voice—into public space registers not as plenitude but as a depletion of phenomenal reality, so that noir's characteristic emptiness is the positive mark of jouissance overrunning the signifying network.

    the infinite, inexhaustible space of the older model—exemplarily realized in the paradox of the locked room

97. #97

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.60

    **Cutting Up** > **Achilles and the Tortoise**

    Theoretical move: Against Derridean deconstruction's commitment to infinite deferral, Copjec argues—via Lacan and Zeno's paradox—that it is precisely a closed totality (a limit) that makes infinite difference possible; the psychoanalytic subject is finite, and it is this finitude that causes the infinity of desire, not the other way around.

    only a closed totality can be considered infinite; only a limit guarantees that the production of meaning will continuously be subject to revision, never ending.

98. #98

    Read My Desire: Lacan Against the Historicists · Joan Copjec · p.221

    **Sex and the Euthanasia of Reason** > **The Female Side: Mathematical Failure**

    Theoretical move: By mapping Kant's first mathematical antinomy onto Lacan's formulas of sexuation for the female side, Copjec argues that "the woman does not exist" follows the same logic by which the world cannot be constructed as a totality: both the universal and the not-all formulas arise not from empirical limitation but from the constitutive impossibility of an unconditioned whole, a logic irreducible to Aristotelian particularity or historicist critique.

    our acknowledgment of the absence of a limit to the set of phenomena does not oblige us to maintain the antithetical position—that they are infinite—rather, it obliges us to recognize the basic finitude of all phenomena

99. #99

    The Fidelity of Betrayal: Towards a Church Beyond Belief · Peter Rollins · p.54

    <span id="title.html_page_iii"></span>THE FIDELITY OF BETRAYAL > <span id="contents.html_page_vii"></span>CONTENTS > From the void without to the void within

    Theoretical move: The passage argues that the eschatological kingdom is not a future arrival but a spectral presence already "to come" within the present — an interior void that ruptures the text, the beloved, and the world from within rather than from without — and uses this structure to reframe theological transcendence as radical immanence.

    fractures the finite with the infinite, and tears through the temporal with the eternal, inhabiting the now in the guise of the not-yet.

100. #100

     The Fidelity of Betrayal: Towards a Church Beyond Belief · Peter Rollins

     <span id="title.html_page_iii"></span>THE FIDELITY OF BETRAYAL > <span id="contents.html_page_vii"></span>CONTENTS > <span id="chapter004.html_page_80"></span>God as greatest conceivable being: the philosophical naming of God

     Theoretical move: The passage traces how Descartes' Cogito and his ontological/causal argument for God's existence embed a philosophical naming of God into modern thought, showing that the innate idea of an infinite God cannot be self-generated by a finite mind — a move that inscribes theological naming within Enlightenment rationalism.

     the thought of God (as infinite and unlimited) is so fundamentally different and superior to our understanding of ourselves (as finite and limited) that it stands utterly beyond the ability of the mind to create

101. #101

     The Fidelity of Betrayal: Towards a Church Beyond Belief · Peter Rollins · p.108

     <span id="title.html_page_iii"></span>THE FIDELITY OF BETRAYAL > <span id="contents.html_page_vii"></span>CONTENTS > Pascal and the critique of Descartes’ God

     Theoretical move: The passage uses Pascal's critique of Descartes to argue that the concept of God's infinity collapses into a description of finite human limits rather than any positive content about God, positioning faith as grounded in a truth that exceeds and escapes rational-epistemic capture.

     the idea of the infinite, if it is to be a true idea, cannot be grasped at all, since the impossibility of being grasped is contained in the formal definition of the infinite.

102. #102

     The Orthodox Heretic and Other Impossible Tales · Peter Rollins · p.84

     <span id="title.html_page_iii"></span>The Orthodox Heretic > <span id="introduction.html_page_ix"></span>INTRODUCTION > <span class="small">COMMENTARY</span>

     Theoretical move: The passage argues that desire is not prior to and satisfied by the arrival of the beloved, but is retroactively born and sustained by the beloved's presence, because presence always entails a simultaneous withdrawal—a structure applied theologically to the Incarnation as a deepening rather than dissipation of divine mystery.

     is not the small, fragile exterior frame of our beloved not experienced as housing an interior world of infinite proportions?

103. #103

     The Chattering Mind: A Conceptual History of Everyday Talk · Samuel McCormick · p.84

     Fuzzy Math > **Dialectical Fraud** > **The Problem with Hereditary Sin**

     Theoretical move: Kierkegaard's critique of sorites reasoning—the quantitative accumulation that purports to generate qualitative change—grounds his opposition to Hegelian dialectics and modern 'leveling' discourse, arguing that genuine qualitative change can only occur through a sudden leap, not through gradual numerical progression; any claim to the contrary dissolves into myth and small talk.

     Let mathematicians and astronomers save themselves if they can with infinitely disappearing minute magnitudes, but in life itself this does not help a man to obtain his examination papers.

104. #104

     The Chattering Mind: A Conceptual History of Everyday Talk · Samuel McCormick · p.70

     Fuzzy Math > **Educated or Destroyed**

     Theoretical move: The passage argues that Kierkegaard, contra Heiberg's aristocratic elitism, locates within the abstract leveling arithmetic of modern democratic public life the very conditions for a deeper, religious egalitarianism — framing mass society not as mere alienation but as the occasion for individual religious self-formation; this structure, the passage claims, anticipates both Heidegger's and Lacan's ambivalent critiques of modernity.

     They either must be lost in the dizziness of abstract infinity or be saved infinitely in the essentiality of the religious life.

105. #105

     The Odd One In: On Comedy · Alenka Zupančič · p.61

     Physics of the Infinite against Metaphysics of the Finite

     Theoretical move: Against the contemporary "metaphysics of finitude" (which closes off the human within its limits), Zupančič argues that comedy enacts a "physics of the infinite" by demonstrating that human finitude is always already a *failed* finitude—a finitude with a structural hole—whose Lacanian name is objet petit a, and whose topology is best rendered by the Möbius strip: immanence that generates an other side without ever crossing to it.

     the true comic spirit, far from being reducible to this metaphysics of the finite, is, rather, always a 'physics of the infinite.'

106. #106

     The Odd One In: On Comedy · Alenka Zupančič · p.71

     Physics of the Infinite against Metaphysics of the Finite

     Theoretical move: Comedy's structural logic consists in the "impossible articulation" of two mutually exclusive realities within one frame—not simply exposing the Real of what happened, but staging the structural Real whose suppression constitutes ordinary reality's coherence; this is distinguished from irony by comedy's capacity to produce a "concrete universal" (singular universality) that includes the infinite within the finite, and is further illuminated by the Freudian/Lacanian split between ego and id as the engine of comic incongruity.

     the very material point of this implication or inclusion that constitutes the site of the infinite that comedy never renounces.

107. #107

     The Odd One In: On Comedy · Alenka Zupančič · p.59

     Physics of the Infinite against Metaphysics of the Finite

     Theoretical move: Zupančič challenges the dominant "metaphysics of finitude" reading of comedy—which treats the genre as a celebration of human limitation and acceptance—by arguing that comedy is materialistic not because it anchors us in dense, finite reality but because it gives body to the contradictions and impasses within materiality itself, revealing that the human is always in excess of its own finitude.

     For quite some time, a lot of critical philosophical work has been dedicated to various ways of undermining the metaphysics of infinity, and of transcendence.

108. #108

     Sex and the Failed Absolute · Slavoj Žižek · p.320

     **Sex and the Failed Absolute** > The World With(out) a <span id="scholium_34_the_world_without_a_snout.xhtml_IDX-138"></span><span id="scholium_34_the_world_without_a_snout.xhtml_IDX-2118"></span><span id="scholium_34_the_world_without_a_snout.xhtml_IDX-2519"></span>Snout

     Theoretical move: Žižek argues against Badiou's "positivism of Truth-Event" by insisting that the Death Drive—understood as radical (self-relating) negativity rather than any ontic positivity—is the primordial opening that makes an Event possible, and that sexuality (as the site of this void) cannot be reduced to the order of Being but is already a "brush with the Absolute" that love merely supplements, not elevates.

     for him, the exception to the order of Being can only be a positive (affirmative) Truth, while for us, the space for such an exception is opened up by the void of radical negativity.

109. #109

     Sex and the Failed Absolute · Slavoj Žižek · p.289

     **Sex and the Failed Absolute** > The Retarded God <span id="corollary_3_the_retarded_god_of_quantum_ontology.xhtml_IDX-780"></span>of <span id="corollary_3_the_retarded_god_of_quantum_ontology.xhtml_IDX-1619"></span><span id="corollary_3_the_retarded_god_of_quantum_ontology.xhtml_IDX-1834"></span>Quantum <span id="corollary_3_the_retarded_god_of_quantum_ontology.xhtml_IDX-1168"></span>Ontology > [The Implications of Quantum Gravity](#contents.xhtml_ahd19)

     Theoretical move: Žižek uses quantum physics (wave-function collapse, decoherence, virtual particles) to argue that ignorance is not merely epistemic but has a positive ontological status inscribed in reality itself, which in turn redefines the big Other/God as necessarily non-omniscient and "retarded" (always registering too late), and connects this to a Hegelian dialectic in which the indivisible One of a thing is identical with a void of Nothing at its core.

     It is not that this claim of infinite divisibility brings us to the paradox of nothing as the ultimate ground of being

110. #110

     Sex and the Failed Absolute · Slavoj Žižek

     **Sex and the Failed Absolute** > Sex as Our Brush with the Absolute > [Antinomies of Pure Sexuation](#contents.xhtml_ahd7) > The Mathematical Antinomies

     Theoretical move: This passage presents Kant's first two Mathematical Antinomies (of space/time and of atomism) as raw theoretical material, establishing the antinomial structure that Žižek will map onto his account of sexuation as a "brush with the Absolute."

     The world has no beginning, and no limits in space; it is infinite as regards both time and space.

111. #111

     Sex and the Failed Absolute · Slavoj Žižek · p.112

     **Sex and the Failed Absolute** > Sex as Our Brush with the Absolute > [Antinomies of Pure Sexuation](#contents.xhtml_ahd7) > The Dymamical Antinomies > The fourth antinomy (of necessary being or not)

     Theoretical move: The passage argues that Kant's mathematical/dynamic antinomies and the two modes of the Sublime (mathematical/dynamic) structurally mirror Lacan's formulas of sexuation, and proposes correcting Kant by relocating sexual difference *inside* the Sublime itself rather than between the Sublime and the Beautiful — sex is constitutively sublime because failure and attachment to an impossible-real Thing are definitive of human sexual experience.

     Our Reason has at its disposal an idea which is far larger than the object, and so we can figure it as merely approaching—inadequately—the appearance of the infinite.

112. #112

     Sex and the Failed Absolute · Slavoj Žižek · p.177

     **Sex and the Failed Absolute** > Sinuosities of Sexualized Time > [Days of the Living Dead](#contents.xhtml_ahd11)

     Theoretical move: Žižek reframes the finitude/immortality opposition as a parallax couple rather than a genuine alternative, arguing that "obscene immortality" (the undead remainder) is more fundamental than noble Badiouian immortality, and that the contemporary digital subject's denial of castration structurally reproduces this undead mode of subjectivity.

     What Cantor did for infinity, we should do for immortality, and assert the multiplicity of immortalities

113. #113

     Sex and the Failed Absolute · Slavoj Žižek · p.198

     **Sex and the Failed Absolute** > Schematism in Kant, Hegel … and Sex

     Theoretical move: Žižek advances a Hegelian reading of Kantian schematism whereby the mediating "third term" (Christ, unwritten law, the particular supplement) is not a bridge between two independently existing poles but the very medium through which those poles exist — and argues that true infinity requires transposing finitude into the Absolute itself rather than overcoming it.

     the only true infinity is that of their mediator itself. The task is thus the Hegelian one: not to 'overcome' the finitude (the horizon of schematism) but to transpose it into the Thing (Absolute) itself.

114. #114

     Sex and the Failed Absolute · Slavoj Žižek · p.139

     **Sex and the Failed Absolute** > Sex as Our Brush with the Absolute > [The Sexed Subject](#contents.xhtml_ahd9)

     Theoretical move: The passage argues that subjectivity is constitutively sexed by mapping the Kantian mathematical/dynamic antinomy onto Hegel's logic of Being/Essence, and then showing that each domain, when carried to its limit (via differential calculus as the paradigm case), self-sublates into a void that constitutes a distinct sexed subject: "feminine" subjectivity emerges from the self-sublation of the mathematical/Being domain, while "masculine" subjectivity emerges from the dynamic/Essence domain.

     the mathematical infinite, on the contrary, has within itself truly sublated the finite limit because the beyond of the latter is united with it.

115. #115

     Sex and the Failed Absolute · Slavoj Žižek · p.152

     **Sex and the Failed Absolute** > Sex as Our Brush with the Absolute > [Plants, Animals, Humans, Posthumans](#contents.xhtml_ahd10)

     Theoretical move: The passage argues that human sexuality is not a "civilized" displacement of natural animal sexuality but rather the point where the dislocation/impossibility immanent in all sexed reproduction becomes registered as such—via the Unconscious and surplus-jouissance—so that culture retroactively denaturalizes nature itself, while the transition from animal to human mirrors the Hegelian move from In-itself to For-itself applied to not-knowing.

     infinite judgment (the assertion of a non-predicate): 'it is unconscious of' is not the same as 'it isn't conscious of'

116. #116

     Subject Lessons: Hegel, Lacan, and the Future of Materialism · Russell Sbriglia & Slavoj Žižek (eds.) · p.66

     Borna Radnik

     Theoretical move: The passage argues that Hegel's logic of the concept is simultaneously ontologically and thought-constitutive, distinguishing his absolute idealism from Kantian transcendental idealism and Fichtean subjective idealism by showing that conceptual determination is not merely a subjective act but is immanent to reality itself, culminating in the absolute Idea as the unity of subject and substance.

     The absolute Idea is an infinite form that has the dialectical movement of the concept for its content.

117. #117

     Subject Lessons: Hegel, Lacan, and the Future of Materialism · Russell Sbriglia & Slavoj Žižek (eds.) · p.87

     The Philosopher's Stone > Notes

     Theoretical move: This notes section is bibliographic and scholarly apparatus, providing citations and brief argumentative glosses that support the chapter's main claims about idealism, materialism, and their philosophical genealogy; it is not itself a primary theoretical passage.

     'the thesis of the infinity of being is necessarily an ontological decision, which is to say an axiom. Without such a decision it will remain forever possible for being to be essentially finite.'

118. #118

     The Impossible David Lynch · Todd McGowan · p.127

     ,'\ru'/,¡/ ¡)(" ,.: '\';11." \,,'" .1, ,,( T H E *impossible* /h,-Ft'llItllc *Form* LUCr FI~CH~k **DAVID LYN CH** > ² . The Integration of the Impossible Objeet in rhe Elephant Man > 3. Dune ond the Poth to Solvotion

     Theoretical move: This endnotes passage makes several theoretical moves: it deploys Lacanian sexual antagonism as the primary social antagonism underlying Hollywood ideological narrative; it argues that voice-over narration's gaps testify to truth rather than obscure it; and it identifies feminine/mystical enjoyment as an authentic connection with the infinite, elevating Other Jouissance to the level of mysticism.

     to elevate feminine enjoyment to the level of mysticism—an authentic connection with the infinite.

119. #119

     The Odd One In: On Comedy (alt. ed.) · Alenka Zupančič · p.62

     Physics of the Infinite against Metaphysics of the Finite

     Theoretical move: Against the contemporary "metaphysics of finitude" that makes finitude a Master-Signifier closing off the infinite, Zupančič argues that comedy enacts a "physics of the infinite" grounded in the Lacanian insight that human finitude is always-already a *failed finitude* — a finitude with a constitutive hole — whose materiality is objet petit a, and whose topology is best captured by the Möbius strip as the figure of immanent transcendence.

     the true comic spirit, far from being reducible to this metaphysics of the finite, is, rather, always a 'physics of the infinite.'

120. #120

     The Parallax View · Slavoj Žižek · p.208

     Copernicus, Darwin, Freud . . . and Many Others > "Positing the Presuppositions"

     Theoretical move: The passage argues that autopoiesis (the self-producing loop of living cells) is the biological instantiation of Hegel's "positing the presuppositions"—the retroactive self-positing of an organism's own conditions—and that this same logical structure governs the paradox of freedom/fate: a truly free act is not one that escapes necessity but one that retroactively posits it, with the "causality of appearance" (the subject as surface-effect with no substantial kernel) as the key operator.

     for Hegel, true infinity stands not for limitless expansion but for active self-limitation (self-determination), in contrast to being-determined-by-the-other

121. #121

     The Shortest Shadow: Nietzsche's Philosophy of the Two · Alenka Zupančič · p.161

     <span id="page-33-0"></span>part i

     Theoretical move: The passage argues that Nietzsche's "beyond good and evil" means transgressing Nothingness as the structuring centre of moral dialectics—not abolishing negativity but relocating it from an external, unattainable limit to an internal, minimal difference—and that this move (illustrated via Lacan's Achilles/tortoise reading and Malevich's Suprematism) inaugurates a logic where truth is inherent to appearance, and where necessity is experienced as grounded in contingency rather than in purposive will.

     infinity as the Nothing that we are infinitely approaching, the Nothing that propels our desire/will, but is, at the same time, the irreducible hindrance that always nonetheless separates us from the realization of this Infinity/Nothingness.

122. #122

     Theory Keywords · Various

     **Impossible Object** see **objet a**

     Theoretical move: The passage advances two theoretical moves: first, it contrasts Hegel's 'true infinite' (self-limiting, internally bounded) against the 'bad infinite' (externally endless) to argue that genuine satisfaction requires self-sabotage as an internal limit — positioning Hegel as the preeminent anticapitalist thinker over Marx; second, it glosses the dialectical triad In-Itself / For-Itself / In-and-For-Itself as stages of mediation through which subject and object achieve logical unity.

     The break Hegel introduces–a break more philosophically significant than any other he authors–is that of the true infinite. The idea of true infinite enables Hegel to simultaneously avoid two pitfalls–the finitude of the closed world of traditional society and the infinite progress implicit in modernity.

123. #123

     Žižek Responds! · Todd McGowan & Dominik Finkelde (eds.)

     Žižek Responds! > [Response to Finkelde](#contents.xhtml_ch2a)

     Theoretical move: Žižek argues against any dogmatic a priori (Kantian or Habermasian) as a necessary foundation for rational discourse, insisting instead that Hegelian dialectics submits every discursive norm to immanent self-questioning; ethical and historical progress is real but never guaranteed, and is structured by retroactivity—present acts restructure the past, and the past remains open to future reinterpretation.

     For Hegel, idealism means precisely that reason has no limits because it is the space of the actual infinity.