Badiou's Being and event and the mathematics of set theory

著者

    • Baki, Burhanuddin

書誌事項

Badiou's Being and event and the mathematics of set theory

by Burhanuddin Baki

Bloomsbury Academic, 2015

  • : HB

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注記

Includes bibliographical references (p. [257]-259) and index

"Bloomsbury Academic, An imprint of Bloomsbury Publishing Plc"

内容説明・目次

内容説明

Alain Badiou's Being and Event 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 Goedel'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, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.

目次

List of Figures and Tables Acknowledgements Notes on Abbreviations, Citations and Translations Introduction 1. Mathematics = Ontology 2. Ontology of Axiomatic Set Theory 3. Metaontology of Situations and Presentation 4. Metaontology of the State and Representation 5. Ontology and Metaontology of the Cardinal and Ordinal Numbers 6. Ontology and Metaontology of the Constructible 7. Ontology of Forcing and Generic Sets 8. Metaontology of the Subject, Truth, the Event and Intervention Epilogue Works Cited

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