Druck auf Anfrage Neuware - Printed after ordering - 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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Bibliographic Details

Title: Lectures in Logic and Set Theory : Volume 1, Mathematical Logic
Publisher: Cambridge University Press
Publication Date: 2010
Language: English
ISBN 10: 0521168465
ISBN 13: 9780521168465
Binding: Taschenbuch
Condition: Neu

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Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques based on formal logic, in the style of Bourbaki. This provides the reader with a solid foundation in set theory, while the inclusion of 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, will usher the advanced reader to the doorstep of the research literature.

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