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Badiou’s Being and event and the mathematics of set theory. Paperback edition of the 2015 original. (English) Zbl 1417.03001

London: Bloomsbury Academic (ISBN 978-1-4742-8800-2/pbk; 978-1-4725-2445-4/hbk; 978-1-4725-7872-3/ebook). 273 p. (2016).
Publisher’s description: Alain Badiou’s Being and event, originally published in 1988 in French [L’être et l’événement. Seuil: Paris; English translation, London: Continuum (2005)] continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou’s use of mathematics in Being and Event.
Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou’s philosophical framework in close detail, showing exactly how it is ’conditioned’ by the technical mathematics. Clarifying the relevant details of Badiou’s mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel’s concept of constructability; and Cohen’s technique of forcing. Baki then rebuilds Badiou’s philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen’s forcing, which informs Badiou’s analysis of the event.
Providing valuable insights into Badiou’s philosophy of mathematics, this book offers an excellent commentary and a new reading of Badiou’s most complex and important work.

MSC:

03-02 Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations
03A05 Philosophical and critical aspects of logic and foundations
03Exx Set theory
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