A Lacanian supplementation to love in L'Immanence des vérités

The paper investigates how Lacanian psychoanalysis can supplement Alain Badiou’s account of love as an absolute truth in L'Immanence des vérités. Badiou’s book moves from finitude to infinity to the œuvre (the finite yet infinity-bearing form of truth). Within this framework, love is construed as an evental encounter, a declaration, and the construction of the Two, all requiring a rupture with finitude (family, capital, convention, identity, death). The research question asks how to refine Badiou’s amorous œuvre—indexed to the absolute and constructed as the Two—by integrating Lacanian insights on the unconscious, the sexual non-relationship, and the real, thereby clarifying love’s relation to finitude, infinity, and the temptation of the fusional One. The study emphasizes the philosophical importance of avoiding both the dogma of finitude and a simplistic infinity-centrism, showing love’s role as an absolute index that inscribes humanity within trans-human truth while remaining exposed to the real of impossibility.

The article engages critically with two external critiques of Badiou: (1) that love as truth derives from a philosophico-mathematical stance equating being and thinking (e.g., the principle of maximality), thereby making love a theoretical fiction; and (2) that love as truth is a transposition of political decisions (e.g., implications of the axiom of choice) into amorous subjectivity. An internal critique is also considered: Badiou undervalues finitude, treating love overwhelmed by worldly logic (failing to become a complete cardinal) as non-genuine, thus covering only a narrow spectrum of love. The paper recalls Badiou’s reply to similar criticisms: philosophy’s duty is to break with the anthropology of finitude and awaken us to absolute truths. It then positions its contribution not as external or internal critique but as a Lacanian supplementation. The review canvasses Badiou’s set-theoretical hierarchy of infinities and his reading of Lacan as pre- or minimally Cantorian, connecting Lacan’s stance to political skepticism and rational pessimism. It contrasts this with Lacan’s developments (feminine not-all, jouissance beyond the phallic function, Aleph-naught references) and psychoanalytic notions (desire, symptom, object a). The article also situates its analysis alongside artistic and literary references (Beckett, Oshima) and examples (Plastikophobia) to illustrate the œuvre/waste dialectic and love’s limits.

This is a conceptual and comparative philosophical-psychoanalytic study. It undertakes close readings of Badiou’s L'Immanence des vérités and related works (Being and Event, Logics of Worlds, Theory of the Subject; seminars on Lacanian antiphilosophy), and Lacan’s seminars and writings (notably Seminars XVI, XX, XXI–XXV, Écrits). The author constructs a five-point supplementation, systematically mapping Badiou’s set-theoretical notions of infinity and the œuvre onto Lacanian concepts of the unconscious, jouissance, the sexual non-relationship, object a, and discourse structures. The analysis foregrounds the dialectics finitude/infinity and œuvre/waste, and examines emblematic cases and cultural artifacts (e.g., the Plastikophobia installation, Oshima’s In the Realm of the Senses, Beckett’s Krapp’s Last Tape) as thought experiments to clarify the real of the absolute, the temptation of the One, and the labor of constructing the Two. The approach is argumentative and synthetic rather than empirical, aiming to generate new conceptual tools (amorous labor, artisan of love, super-absolute interstice).

• The binary "Lacanian finitude vs Badiouian infinity" is misleading. Both thinkers engage a finitude/infinity dialectic, albeit differently.
• Badiou treats the unconscious and analytic work as inscribed by finitude/infinity: repression aligns with finitude, while activating the unconscious mobilizes an immanent infinity; analytic change occurs in the interplay of repetition and the unrepeatable.
• Lacanian concepts show that œuvre and waste are supplementary, not strictly opposed. The analytic act valorizes waste (object a, the analyst as semblance), and creation often proceeds through processing waste; even Badiou acknowledges œuvre carries its stirred-up waste.
• For both Lacan and Badiou, love interlaces the sexual non-relationship with the Two: Lacan preserves the non-relationship yet affirms a bond of two; Badiou’s amorous Two is constructed point by point against the backdrop of misunderstanding and the limits of u (object-cause) by building t (amorous truth fragments).
• The Badiouian amorous absolute must contend with the real of the absolute: the temptation of fusional One. Lacanian clinic clarifies the fantasmatic One (e.g., Oshima’s film), showing how attempts to realize the sexual relationship as One are destructive.
• New conceptual proposals: amorous labor (a limping, stammering practice that constructs the Two while working through the non-relationship), a dialectic between œuvre and waste (creation via processing remainder), and the artisan of love (neither victim nor sovereign subject, but a maker who crafts the œuvre while recycling waste).
• The article proposes a "super-absolute" interstice: love exceeds the indexed absolute of the œuvre through a protean, undecidable zone analogous by metaphor to super-compactness in the hierarchy of infinities.
• Synthesized aphorism: Love resides between an impassable impasse (Lacan’s lovewall) and an impassible pass (Badiou’s leap over finitude), sustaining an absolute trace while acknowledging structural limits.

The findings address the core question of how Lacanian psychoanalysis can supplement Badiou’s philosophy of love by reframing love not merely as an indexed œuvre of the Two but as an ongoing labor situated at the juncture of finitude and infinity. By rejecting the rigid finitude/infinity binary, the paper situates both Lacanian analysis and Badiouian construction within a shared dialectic: analytic work mobilizes unconscious infinity to transform finite symptoms, while love’s construction of the Two operates amidst the non-relationship. Recognizing œuvre and waste as intertwined reframes Badiou’s aesthetics and ethics of love: creation is inseparable from processing remainder, and sometimes waste becomes œuvre through elaboration. Addressing the real of the absolute (the fusional One) via Lacan deepens Badiou’s warning against romantic fusion by showing its fantasmatic, destructive forms, thereby explaining why love must remain a limping march of the Two rather than a leap into One. Conceptually, the move to amorous labor and the artisan of love emphasizes practice over idealization, suggesting broader relevance for thinking love beyond familial, technocratic, or market logics and for understanding how psychoanalytic insights (bond, transference, object a, repetition) inform the philosophical scene of the Two.

The paper proposes a Lacanian supplementation to Badiou’s theory of love in five theses: the finitude/infinity binary is inadequate; the unconscious and analysis are structured by that dialectic; œuvre and waste supplement one another; love interlaces the non-relationship and the Two; and the amorous absolute must negotiate the real of the One. From these, it advances the notions of amorous labor, the œuvre–waste dialectic, the artisan of love, and a super-absolute interstice that exceeds indexed absoluteness while preserving it. Love is formulated as dwelling between an impassable impasse and an impassible pass. In practice, lovers, as artisans, engage the labor of constructing a faithful Two, process waste into creation, and resist the fusional temptation of the One, allowing love to function as an absolute index while acknowledging structural limits. Future work could further explore clinical and aesthetic cases of the œuvre–waste dialectic and refine the super-absolute metaphor in dialogue with set-theoretical hierarchies.