Badiou and indifferent being : a critical introduction to Being and Event / William Watkin.

Includes bibliographical references (pages 253-276) and index.

Machine generated contents note: The Consistency of Inconsistency -- Subtractive Being -- Nonrelationality -- Indifference -- Set Theory -- Retroactive Axiomatic Reasoning -- Transmissibility, Intelligibility and Communicability -- Theory of the Subject -- pt. One Indifferent Being -- 1. Being: The One and the Multiple -- How to Make Intelligible the Impossible Proposition One Is-not (Meditation One) -- The One as Operational Count-as-one -- The Ancient Problem of Classes -- Situations and Structures -- The Multiple -- Presentation of Presentation -- Reasoning on Being by Means of Axioms -- 2. Being: Separation, Void, Mark -- Meditation Two -- Set Theory and Aggregation as Collection (Meditation Three) -- Axiom of Separation -- Notation and Self-predication -- The Pure Multiple Is Real -- The Void: Proper Name of Being (Meditation Four) -- The Void and Nothing -- Void as Nomination

ZF+C: The Nine Axioms of Contemporary Set Theory (Meditation Five) -- Axiom of Extensionality -- Axiom of Replacement or Substitution -- The Void Set and In-difference -- Conclusion: Pure Multiple and the Void -- 3. Being and Excess -- Powerset Axiom (Meditation Seven) -- Point of Excess -- Void as Name -- Four Kinds of One-ness: One, Count-as-one, Unicity, Forming-into-one -- The State (Meditation Eight) -- Threat of the Void -- Belonging, Inclusion and Parts -- Typologies of Being -- States and Indifference (Meditation Nine) -- 4. Nature and Infinity -- Nature is Normal (Meditation Eleven) -- Transitive Sets: Cardinal and Ordinal (Meditation Twelve) -- Nature and Minimality -- Nature and Intrication -- The Inexistence of Nature -- Potential and Actual Infinity -- Proving the Actual Infinite -- Doubling and Dedekind Infinites -- The Limit -- Succession and Limit -- The Upper or Maximal Limit -- Succession

Conclusion on Being -- pt. Two Indifferent Events -- 5. The Event: History and Ultra-One -- Historical Singularities (Meditation Sixteen) -- Historical Singularities and Evental Sites: Examples -- Primal Ones and the Edge of the Void -- Singularity vs. Normality -- Self-predication: The Matheme of the Event (Meditation Seventeen) -- The Problem of Naming -- Axiom of Foundation (Meditation Eighteen) -- Implications of Foundation -- Coda: Un-relation -- 6. The Event, Intervention and Fidelity -- The Wager: Yes or No (Meditation Twenty) -- Intervention -- Seven Consequences of the Event -- Axiom of Choice (Meditation Twenty-two) -- Choice is Indifferent -- Due to Choice, Singularities Exist and they Are Indifferent -- Fidelity, Connection (Meditation Twenty-three) -- 7. The Generic -- Continuum Hypothesis (Meditation Twenty-seven) -- The Thought of the Generic (Meditation Thirty-one) -- Discernment and Classification

Truth and Knowledge: The Indifference of Avoidance -- Generic Procedure -- The Matheme of the Indiscernible (Meditation Thirty-three) -- Easton's Theorem (Meditation Twenty-six) -- Conditioning the Indiscernible -- Indiscernible or Generic Subsets -- The Existence of the Indiscernible (Meditation Thirty-four) -- Extension -- Is There a Name for the Discernible such that it Can Be Said to Exist? -- 8. Forcing: Truth and Subject -- Theory of the Subject (Meditation Thirty-five) -- Chance -- Faith -- Names -- Forcing (Meditation Thirty-six) -- The Proof of Forcing -- From the Indiscernible to the Undecidable -- Conclusion (Meditations Thirty-six and Thirty-seven) -- Bridge: From Being and Event to Logics of Worlds.