George Tourlakis, «Lectures in Logic and Set Theory»

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George Tourlakis, «Lectures in Logic and Set Theory»

George Tourlakis, «Lectures in Logic and Set Theory»
Cambridge University Press | ISBN 0521753732 | 2003 Year | linked PNG-files | 17,32 Mb | 340 Pages

This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. 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 lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen.