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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.Read more
- 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
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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- 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
1. Basic logic
2. The second incompleteness theorem
List of symbols
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