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Lectures in Logic and Set Theory

Lectures in Logic and Set Theory : Volume 1, Mathematical Logic.

・ISBN 978-0-521-16846-5 paper GB£ 53.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-61555-9
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.