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 II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.
| ISBN: | 9780521168489 |
| Publication date: | 21st July 2011 |
| Author: | George York University, Toronto Tourlakis |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 592 pages |
| Series: | Cambridge Studies in Advanced Mathematics |
| Genres: |
Mathematical logic Set theory |