Number and Numbers 1st Edition by Alain Badiou – Ebook PDF Instant Download/Delivery: 9780745638799
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ISBN 13: 9780745638799
Author: Alain Badiou
The political regime of global capitalism reduces the world to an endless network of numbers within numbers, but how many of us really understand what numbers are? Without such an understanding, how can we challenge the regime of number? In Number and Numbers Alain Badiou offers an 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. In Badiou’s view, only by rigorously thinking through Number can philosophy offer us some hope of breaking through the dense and apparently impenetrable capitalist fabric of numerical relations. For this will finally allow us to point to that which cannot be numbered: the possibility of an event that would deliver us from our unthinking subordination of number.
Number and Numbers 1st Table of contents:
1: Greek Number and Modern Number
Notes
2: Frege
Notes
3: Additional Note on a Contemporary Usage of Frege
Notes
4: Dedekind
Notes
5: Peano
Notes
6: Cantor: ‘Well-Orderedness’ and the Ordinals
Notes
2: Concepts: Natural Multiplicities
7: Transitive Multiplicities
Notes
8: Von Neumann Ordinals
Notes
9: Succession and Limit. The Infinite
Notes
10: Recurrence, or Induction
Notes
11: Natural Whole Numbers
12: The Concept of Number: An Evental Nomination
Additional Notes on Sets of Ordinals
Notes
13: Difference and Order of Numbers
Notes
14: The Concept of Sub-Number
Notes
15: Cuts: The Fundamental Theorem
Notes
16: The Numberless Enchantment of the Place of Number
Notes
17: Natural Interlude
Notes
18: Algebra of Numbers
Notes
19: In Conclusion: From Number to Trans-Being
Notes
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Tags: Alain Badiou, Numbers, Number