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

Format:

Book

Author/Creator:

Badiou, Alain

Standardized Title:

Nombre et les nombres. English

Language:

English

French

Subjects (All):

Number concept.

Numeration.

Mathematics--Philosophy.

Mathematics.

Physical Description:

x, 240 pages : illustrations ; 23 cm

Edition:

English ed.

Place of Publication:

Cambridge, UK ; Malden, MA : Polity Press, ©2008.

Summary:

Badiou goes through the most important innovations in the 19th-century theory of numbers, covering Frege, Dedekind, Peano and Cantor, and presents his own theory of numbers, one that has broader implications for social and political philosophy.

Contents:

Number must be thought: Genealogies : Frege, Dedekind, Peano, Cantor ; Greek number and modern number ; Frege ; Additional note on a contemporary usage of Frege ; Dedekind ; Peano ; Cantor : 'well-orderedness' and the ordinals

Concepts: Natural multiplicities ; Transitive multiplicities ; Von Neumann ordinals ; Succession and limit : the infinite ; Recurrence, or Induction ; Natural whole numbers

Ontology of number: Definition, order, cuts, types ; The concept of number : an evental nomination ; Additional notes on sets of ordinals ; Difference and order of numbers ; The concept of sub-number ; Cuts : the fundamental theorem ; The numberless enchantment of the place of number

Operational dimensions: Natural interlude ; Algebra of numbers.

Notes:

"First published in French as Le nombre et le nombres, Editions de Seuil, 1990"--Title page verso.

Includes bibliographical references and index.

Other Format:

Online version: Badiou, Alain. Nombre et les nombres. English. Number and numbers.

ISBN:

9780745638782

0745638783

9780745638799

0745638791

OCLC:

191245302