Alain Badiou

Mathematics of the Transcendental (eBook, PDF)

Übersetzer: Bartlett, A. J.; Ling, Alex

• Format: PDF

Produktbeschreibung

In Mathematics of the Transcendental, Alain Badiou painstakingly works through the pertinent aspects of category theory, demonstrating their internal logic and veracity, their derivation and distinction from set theory, and the 'thinking of being'. In doing so he sets out the basic onto-logical requirements of his greater and transcendental logics as articulated in his magnum opus, Logics of Worlds.

Previously unpublished in either French or English, Mathematics of the Transcendental provides Badiou's readers with a much-needed complete elaboration of his understanding and use of category theory. The book is vital to understanding the mathematical and logical basis of his theory of appearing as elaborated in Logics of Worlds and other works and is essential reading for his many followers.

Produktdetails

• Verlag: Bloomsbury UK eBooks
• Seitenzahl: 224
• Erscheinungstermin: 16. Januar 2014
• Englisch
• ISBN-13: 9781441150431
• Artikelnr.: 40345015

Autorenporträt

Alain Badiou is a world-renowned French philosopher, formerly chair of the École Normale Supérieure in Paris, France, and founder of the faculty of Philosophy at the University of Paris VIII with Gilles Deleuze, Michel Foucault, and Jean-François Lyotard. Badiou has authored multiple major works of philosophy, many of which have been published in English by Bloomsbury, including Being and Event (2005), Logics of Worlds (2009), and The Immanence of Truths (forthcoming, 2021).

Inhaltsangabe

Translator's introduction \ Preface \ Part I: topos, or logics of ontology:
An introduction for philosophers \ 1. General aim \ 2. First definitions \
3. The size of a category \ 4. Limit and universality \ 5. Some fundamental
concepts \ 6. Duality \ 7. Isomorphism \ 8. Exponentiation \ 9. Universe 1:
closed Cartesian categories \ 10. Structures of immanence 1: philosophical
grounds \ 11. Immanence 2: sub-object \ 12. Immanence 3: elements of an
object \ 13. 'Elementary' clarification of exponentiation \ 14. Logic 1:
central object (or sub-object classifier) \ 15. True, false, negation and
more \ 16. Central object as linguistic power \ 17. Universe 2: the concept
of Topos \ 18. Ontology of the void and of difference \ 19. Mono., Epi.,
Iso., Equa., and other arrows \ 20. Topoi as logical places \ 21. Internal
algebra of 1 \ 22. Ontology of the void and excluded middle \ 23. A
classical miniature \ 24. A non-classical miniature \ Part II: Being-There
\ Introduction \ A. Transcendental structures \ B. Transcendental
connections \ B2. Of transcendental connections and logic in its usual
sense (propositional logic and first order logic of predicates)\ B3.
Transcendental connections and the general theory of localisations:
topology \ C. Theory of appearing and of objectivity \ D. Transcendental
projections: theory of localisation \ E. Theory of relations: the status of
worlds \ Index