Logic of Infinity

Informationen zum Autor Barnaby Sheppard is a freelance writer. He has previously held positions at Lancaster University, the University of Durham and University College Dublin. Klappentext This book conveys to the novice the big ideas in the rigorous mathematical theory of infinite sets. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: Barnaby Sheppard, Sheppard Barnaby
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 24.07.2014
• EAN: 9781107058316
• ISBN: 978-1-107-05831-6
• No. of pages: 498
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / Logic, Mathematics, Mathematical logic, Set theory, Number systems