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Lectures in logic and set theory: set theory, Vol. 2

By: Series: Cambridge studies in advanced mathematics ; 83Publication details: Cambridge University Press, 2003. Cambridge:Description: xv, 575p. : ill. ; pb. ; 24 cmISBN:
  • 9780521168489
Subject(s): DDC classification:
  • 511.3 TOU
Summary: 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.
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Includes bibliographical references and indexes.
Electronic reproduction. UK : MyiLibrary, 2007. Available via World Wide Web. Access may be limited to MIL affiliated libraries.

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.

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