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Lectures in Logic and Set Theory : Volume 2, Set Theory - George Tourlakis

Lectures in Logic and Set Theory

Volume 2, Set Theory

Paperback

Published: 21st July 2011
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  • Paperback View Product Published: 9th September 2010
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This two-volume 2003 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

Preface
A bit of logic: a user's toolbox
The set-theoretic universe, naively
The axioms of set theory
The axiom of choice
The natural numbers transitive closure
Order
Cardinality
Forcing
Bibliography
List of symbols
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521168489
ISBN-10: 0521168481
Series: Cambridge Studies in Advanced Mathematics (Paperback) : Book 2
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 575
Published: 21st July 2011
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.35
Weight (kg): 0.86