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

George Tourlakis

Cambridge University Press, Jan 9, 2003 - Mathematics - 342 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.

Bibliographic information

• Title: Lectures in Logic and Set Theory: Volume 1, Mathematical Logic; Volume 82 of Cambridge Studies in Advanced Mathematics
• Author: George Tourlakis
• Publisher: Cambridge University Press, 2003
• ISBN: 0521753732, 9780521753739
• Length: 342 pages
• Subjects: Mathematics / Discrete Mathematics; Mathematics / Logic; Mathematics / Set Theory