Logic of Infinity

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

List of contents

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.

About the author

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

Summary

Few mathematical results capture the imagination like Georg Cantor's theory of infinity. Bridging the gap between technical accounts of mathematical foundations and popular accounts of logic, this book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets.

Product details

• Authors: Barnaby Sheppard, Sheppard Barnaby
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 24.07.2014
• EAN: 9781107678668
• ISBN: 978-1-107-67866-8
• No. of pages: 498
• Subjects: Fiction > Narrative literature; Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / Logic, Mathematics, Mathematical logic, Set theory, Number systems