Lectures in Logic and Set Theory: Volume 2, Set Theory: 83 (Cambridge Studies in Advanced Mathematics, Series Number 83) - Hardcover

Book 23 of 140: Cambridge Studies in Advanced Mathematics

Tourlakis, George

 
9780521753746: Lectures in Logic and Set Theory: Volume 2, Set Theory: 83 (Cambridge Studies in Advanced Mathematics, Series Number 83)

Synopsis

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.

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Review

"many readers, especially those with a philosophical bent, will find this book a good choice for the classroom." - Richard E. Hodel, Duke University

Book Description

This work provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature.

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