Lectures in logic and set theory. [E-Book] / George Tourlakis. Volume 2, Set theory
Tourlakis, George J., (author)
Cambridge : Cambridge University Press, 2003
1 online resource (xv, 575 pages)
englisch
9780511615566
9780521753746
9780521168489
Cambridge studies in advanced mathematics ; 83
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 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.