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Cambridge Studies in Advanced Mathematics Lectures in Logic and Set Theory : Series Number 83: Set Theory Volume 2 - George Tourlakis

Cambridge Studies in Advanced Mathematics Lectures in Logic and Set Theory

Series Number 83: Set Theory Volume 2

Paperback Published: 21st July 2011
ISBN: 9780521168489
Number Of Pages: 592

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  • Hardcover View Product Published: 1st October 2014
  • Hardcover View Product Published: 17th February 2003

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

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
List of symbols
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521168489
ISBN-10: 0521168481
Series: Cambridge Studies in Advanced Mathematics : Book 2
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 592
Published: 21st July 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 3.4
Weight (kg): 0.86

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