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Lectures in Logic and Set Theory

Lectures in Logic and Set Theory

Volume 1. Mathematical Logic

$108.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: January 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521753739

$ 108.00 (P)
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About the Authors
  • 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.

    •  User-friendly extensive discussion of issues that arise at the interface of axiomatics and mathematical 'reality'
    •  A complete proof of Godel's 2nd incompleteness theorem
    •  A thorough foundation of Nonstandard Analysis
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    Reviews & endorsements

    "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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    Product details

    • Date Published: January 2003
    • format: Hardback
    • isbn: 9780521753739
    • length: 342 pages
    • dimensions: 234 x 157 x 23 mm
    • weight: 0.67kg
    • availability: Available
  • Table of Contents

    Preface
    1. Basic logic
    2. The second incompleteness theorem
    Bibliography
    List of symbols
    Index.

  • Author

    George Tourlakis, York University, Toronto

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