Lectures in Logic and Set Theory

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.

•  User-friendly extensive discussion of issues that arise at the interface of axiomatics and mathematical 'reality'
•  A complete proof of Godel's 2nd incompleteness theorem
•  A thorough foundation of Nonstandard Analysis