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Lectures in Logic and Set Theory. Volume I: Mathematical Logic (Cambridge Studies in Advanced Mathematics) - Hardcover
Synopsis
This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. 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 lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen.
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Book Description
Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques based on formal logic, in the style of Bourbaki. This provides the reader with a solid foundation in set theory, while the inclusion of 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, will usher the advanced reader to the doorstep of the research literature.
Review
"A thorough and complete resource for "one of the most remarkable theorems of logic." George Tourlakis' Mathematical Logic is a highly worthwhile addition the the literature."
Robert Mignone, The Review of Modern Logic
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- PublisherCambridge University Press
- Publication date2003
- ISBN 10 0521753732
- ISBN 13 9780521753739
- BindingHardcover
- Edition number1
- Number of pages342
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