Lectures in logic and set theory. [E-Book] / George Tourlakis. Volume 1, Mathematical logic
Tourlakis, George J., (author)
Cambridge : Cambridge University Press, 2003
1 online resource (xi, 328 pages)
Cambridge studies in advanced mathematics ; 82
Full Text
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.