Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
Series: Cambridge Studies in Advanced Mathematics; 82;
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Product details:
- Edition number and title Mathematical Logic v. 1
- Publisher Cambridge University Press
- Date of Publication 9 January 2003
- ISBN 9780521753739
- Binding Hardback
- No. of pages342 pages
- Size 234x157x23 mm
- Weight 670 g
- Language English 0
Categories
Short description:
This two-volume set bridges the gap between introductory texts and the research literature.
MoreLong description:
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.
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
Table of Contents:
Preface; 1. Basic logic; 2. The second incompleteness theorem; Bibliography; List of symbols; Index.
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