Lectures in Logic and Set Theory: Volume 2, Set Theory
Series: Cambridge Studies in Advanced Mathematics; 83;
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Product details:
- Edition number and title Set Theory v.2
- Publisher Cambridge University Press
- Date of Publication 13 February 2003
- ISBN 9780521753746
- Binding Hardback
- No. of pages592 pages
- Size 229x152x37 mm
- Weight 880 g
- Language English 0
Categories
Short description:
This two-volume work bridges the gap between introductory texts and the research literature.
MoreLong description:
This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
"many readers, especially those with a philosophical bent, will find this book a good choice for the classroom." - Richard E. Hodel, Duke University
Table of Contents:
Preface; 1. A bit of logic: a user's toolbox; 2. The set-theoretic universe, naively; 3. The axioms of set theory; 4. The axiom of choice; 5. The natural numbers; transitive closure; 6. Order; 7. Cardinality; 8. Forcing; Bibliography; List of symbols; Index.
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