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Lectures in Logic and Set Theory : Volume 1, Mathematical Logic.
・ISBN 978-0-521-16846-5 paper GB£ 53.00
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| 著者・編者 | Tourlakis, George, |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2010 |
| ページ数 | 342 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-8431> |
解説
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.