Entrée principale:

Badiou, Alain.

Titre et auteur:

Number and numbers / Alain Badiou ; translated by Robin Mackay.

Publication:

Cambridge ; Malden, MA : Polity, ©2008.

Description:

x, 240 pages : illustrations ; 23 cm

Notes:
Includes bibliographical references and index.
Number Must Be Thought -- 1. Genealogies: Frege, Dedekind, Peano, Cantor -- 1.1 Greek Number and Modern Number -- 1.2 Frege -- 1.3 Additional Note on a Contemporary Usage of Frege -- 1.4 Dedekind -- 1.5 Peano -- 1.6 Cantor: 'Well-Orderedness' and the Ordinals -- 2. Concepts: Natural Multiplicities -- 2.1 Transitive Multiplicities -- 2.2 Von Neumann Ordinals -- 2.3 Succession and Limit. The Infinite -- 2.4 Recurrence, or Induction -- 2.5 Natural Whole Number -- 3. Ontology of Number: Definition, Order, Cuts, Types -- 3.1 The Concepts of Number: An Evental Nomination -- 3.2 Difference and Order of Number -- 3.3 The Concept of Sub-Number -- 3.4 Cuts: The Fundamental Theorem -- 3.5 The Numberless Enchantment of the Place of Number -- 4. Operational Dimensions -- 4.1 Natural Interlude -- 4.2 Algebra of Numbers -- 5. In Conclusion: From Number to Trans-Being.
Translated from the French.

Résumé:

"In Number and Numbers Alain Badiou offers a philosophically penetrating account - with a powerful political subtext - of the attempts that have been made over the last century to define the special status of number. Badiou argues that number cannot be defined by the multiform calculative uses to which numbers are put, nor is it exhausted by the various species described by number theory. Drawing on the mathematical theory of 'surreal numbers', he develops a unified theory of Number as a particular form of being, an infinite expanse to which our access remains limited. This understanding of Number as being harbours important philosophical truths about the structure of the world in which we live."--Jacket.

Ressources:
Table of contents

ISBN:

9780745638782 (hbk.)
0745638783 (hbk.)
0745638791 (pbk.)
9780745638799 (pbk.)

Sujet:

Mathematics Philosophy.
Mathématiques Philosophie.

Exemplaires:

Localisation: Bibliothèque main 257460
Cote: BIB 187956
Statut: Disponible