Lectures in Logic and Set Theory: Volume I: Mathematical Logic (Cambridge Studies in Advanced Mathematics) 1st Edition

by George Tourlakis (Author)

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ISBN-13: 978-0521168465

ISBN-10: 0521168465

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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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Editorial Reviews

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

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.

Product details

Item Weight : 1.1 pounds
Paperback : 342 pages
ISBN-10 : 0521168465
ISBN-13 : 978-0521168465
Product Dimensions : 5.98 x 0.86 x 9.02 inches
Publisher : Cambridge University Press; 1st Edition (September 8, 2006)
Language: : English

Best Sellers Rank: #3,755,839 in Books (See Top 100 in Books)
- #404 in Mathematical Set Theory
- #773 in Combinatorics (Books)
- #1,913 in Mathematical Logic

Customer Reviews:
3 ratings

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