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The Logic of Infinity

Barnaby Sheppard
Publisher: 
Cambridge University Press
Publication Date: 
2015
Number of Pages: 
473
Format: 
Paperback
Price: 
42.99
ISBN: 
9781107678668
Category: 
General
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Preface
Synopsis
1. Introduction
2. Logical foundations
3. Avoiding Russell's paradox
4. Further axioms
5. Relations and order
6. Ordinal numbers and the axiom of infinity
7. Infinite arithmetic
8. Cardinal numbers
9. The axiom of choice and the continuum hypothesis
10. Models
11. From Gödel to Cohen
Appendix A. Peano arithmetic
Appendix B. Zermelo–Fraenkel set theory
Appendix C. Gödel's incompleteness theorems
Bibliography
Index.