Thanks to François Nicolas we now have a precise idea of Badiou’s forthcoming book, the third volume of « BEING AND EVENT » entitled THE IMMANENCE OF TRUTHS. It is due to be published by FAYARD, on September 19, 2018. Here is the table of contents in French, followed by my translation:
I. Speculative Strategy
II. Immanence, finitude, infinite
III. The absolute ontological referent
IV. The two possible readings of this book
Formal Presentation of the absolute location
Section I. The classical forms of finitude
C1. Destinies of finitude
S1. A poetic trial of modern finitude: René Char
C2. The four types of finitude
S2. The localisation of the infinite in Victor Hugo
C3. The operators of finitude: 1. Identity
S3. Impersonality according to Emily Dickinson
C4. The operators of finitude: 2. Repetition
S4. Paul Celan: the work and the ordeal of masked repetitions
C5. The operators of finitude: 3. Evil
S5. Mandelstam in Voronezh: make no concession to Evil. Neither plaint nor fear
C6. The operators of finitude: 4. Necessity and God
S6. Bare being: neither God, nor interpretation, nor necessity. The poems of Alberto Caiero.
C7. The operators of finitude. 5. Death
S7. A poem by Brecht. The unknown: death and identity, or life and universality
Section II. Modernity of finitude: covering
C8. Phenomenology of covering
S8. Beckett: uncovering of the covering of an infinite
C9: Ontology of covering
S9. Formal presentation of the constructible universe
C10. A crucial choice: constructible or generic?
S10. Gödel or Cohen
Section III. Sovereignty of the infinite
C11. The four modes of access to the infinite
C12. Inaccessible infinites
S12. The matheme of the inaccessible
C13. Infinites of resistance to division
S13. Matheme of partitions: compact and Ramsey infinites
C14. The infinite by immanent magnitude of its parts
SECTION IV: Adjacent to the absolute
C15. On what conditions can classes express the absolute location?
S15. Technical conditions for classes to « resemble » V
[Note: « V » or the von Neumann universe is the class of hereditary well-founded sets]
C16. Closer and closer to the absolute?
S16. Elementary embedding, critical point, complete cardinal
C17. Explicit relation between the absolute location and one of its immanent attributes
S17. Construction of an internal model of V by ultrapower
Section V. Conditions for a defeat of covering
C18. Limits of modern finitude under the condition of an infinite. Scott’s Theorem.
S18. Infinites in the finite, infinites outside any finite. Demonstration of Scott’s theorem.
C19. Ontological conditions of any creative initiative. Jensen’s Theorem.
S19. Apparent simplicity and real confusion of finitude. Jensen’s Theorem.
Section VI. Parmenides’ Revenge
C20. The hierarchy of infinites
S20. Differences, orders and limits in the realm of infinites
C21. End without end. Kunen’s Theorem.
S21. Kunen’s Theorem, and beyond
Section VII. General theory of works-in-truth
C22. The index of absoluteness of a work
S22. The index of absoluteness in Plato
Section VIII. Works according to the object: art, science
C23. Power of the form: the arts
S23. Hegel, the arts and the cinema
C24. Power of the letter: the sciences
S24. Husserl, the « crisis » and science
Section IX. Works according to becoming: love, politics
C25. The work of love: the scene of the Two
S25. Auguste Comte and love
C26. Finite politics, infinite politics
S26. A true political text
Dictionary, bibliography, index and iconography