George Tourlakis – Lectures in Logic and Set Theory, Volume1: Mathematical Logic

This two-volume 2003 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.   źródło opisu: http://www.cambridge.org/pl/knowledge/isbn/item565…(?) źródło okładki: http://www.cambridge.org/pl/knowledge/isbn/item565…»