Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
| By: | George Tourlakis |
| Publisher: | Cambridge University Press |
| Print ISBN: | 9780521753739 |
| eText ISBN: | 9780511060274 |
| Edition: | 1 |
| Format: | Page Fidelity |
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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.