Alain Badiou ; edited, translated and with an introduction by A. J. Bartlett and Alex Ling
vii, 282 pages ;
21 cm
Includes bibliographical references and index
Translators' introduction : the categorical imperative -- Part one. Topos, or logics of onto-logy : an introduction for philosphers. General aim ; Preliminary definitions ; The size of a category ; Limit and universality ; Some fundamental concepts ; Duality ; Isomorphism ; Exponentiation ; Universe, 1 : closed Carteisian categories ; Structures of immanence, 1 : philosophical considerations ; Structures of immanence, 2 : sub-object ; Structures of immanence, 3 : elements of an object ; 'Elementary' clarification of exponentiation ; Central object (or sub-object classifier) ; The true, the false, negation and more ; The central object as linguistic power ; Universe, 2 : the concept of topos ; Ontology of the void and difference ; Mono., epi., equ., and other arrows ; Topoi as logical places ; Internal algebra 1 ; Ontology of the void and excluded middle ; A minimal classical model ; A minimal non-classical model -- Part two. Being there : mathematics of the transcendental. Introduction ; A. Transcendental structures ; B. Transcendental connections. B.1. Connections between the transcendental and set-theoretic ontology : Boolean algebras -- B.2. Connections between the transcendental and logic in its ordinary sense (propositional logic and first order predicate logic) -- B.3. Connection between the transcendental and the general theory of localizations : topology ; C. Theory of appearing and objectivity ; E. Theory of relations : situation as universe -- Appendix : On three different concepts of identity between two multiples of two beings