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Mathematics of the transcendental. Edited, translated and with an introduction by A. J. Bartlett and Alex Ling. Translated from the French. (English) Zbl 1401.18001

New York, NY: Bloomsbury Academic (ISBN 978-1-4742-8645-9/pbk). vii, 282 p. (2017).
Publisher’s description: In this book, 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.
Now available in paperback, this book 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.

MSC:

18-02 Research exposition (monographs, survey articles) pertaining to category theory
03A05 Philosophical and critical aspects of logic and foundations
03G30 Categorical logic, topoi
18A15 Foundations, relations to logic and deductive systems
18B25 Topoi
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