Lectures in logic and set theory. Volume 1, Mathematical logic / George Tourlakis.
Material type: TextSeries: Cambridge studies in advanced mathematics ; 82.Publisher: Cambridge : Cambridge University Press, 2003Description: 1 online resource (xi, 328 pages) : digital, PDF file(s)Content type:- text
- computer
- online resource
- 9780511615559 (ebook)
- Lectures in Logic & Set Theory
- 511.3 21
- QA9.2 .T68 2003
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
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