Barnaby Sheppard

The Logic of Infinity

• Gebundenes Buch

Produktbeschreibung

This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 498
• Erscheinungstermin: 5. Februar 2015
• Englisch
• Abmessung: 250mm x 175mm x 31mm
• Gewicht: 1032g
• ISBN-13: 9781107058316
• ISBN-10: 1107058317
• Artikelnr.: 41375011

Autorenporträt

Barnaby Sheppard is a freelance writer. He has previously held positions at Lancaster University, the University of Durham and University College Dublin.

Inhaltsangabe

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. ZermelöFraenkel set theory
Appendix C. Gödel's incompleteness theorems
Bibliography
Index.