Mathematical Logic
著者
書誌事項
Mathematical Logic
（Cambridge studies in advanced mathematics, 82 . Lectures in logic and set theory / George Tourlakis ; v. 1）
Cambridge University Press, 2003
- : hardback
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注記
Includes bibliographical references (p. 319-320) and index
内容説明・目次
内容説明
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.
目次
- Preface
- 1. Basic logic
- 2. The second incompleteness theorem
- Bibliography
- List of symbols
- Index.
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