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.
| ISBN: | 9780521168465 |
| Publication date: | 9th September 2010 |
| Author: | George York University, Toronto Tourlakis |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 342 pages |
| Series: | Cambridge Studies in Advanced Mathematics |
| Genres: |
Mathematical logic Set theory |