Lectures in Logic and Set Theory
Lectures in Logic and Set Theory
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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 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.
- 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
Review of the hardback: ' … stands among the dozen or so books that will remain within easy reach from my desk … a highly worthwhile addition to the literature.' The Review of Modern Logic
Product details
January 2003Hardback
9780521753739
342 pages
234 × 157 × 23 mm
0.67kg
Available
Table of Contents
- Preface
- 1. Basic logic
- 2. The second incompleteness theorem
- Bibliography
- List of symbols
- Index.
