This two-volume work bridges the gap between introductory texts and the research literature. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 592 pages, Illustrations. BIC Classification: PBCD; PBCH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 234 x 159 x 34. Weight in Grams: 892. . 2003. Hardback. . . . .

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Bibliographic Details

Title: Lectures in Logic and Set Theory: Volume 2, Set Theory
Publisher: Cambridge University Press
Publication Date: 2003
Language: English
ISBN 10: 0521753740
ISBN 13: 9780521753746
Binding: Hardcover
Condition: New

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Synopsis

Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).

Book Description

Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume I 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.

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