Lectures in Logic and Set Theory: Volume 2, Set Theory (Hardcover)

George Tourlakis

ISBN 10: 0521753740 / ISBN 13: 9780521753746

Published by Cambridge University Press, Cambridge, 2003

About this Item

Hardcover. 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. This two-volume set bridges the gap between introductory texts and the research literature. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780521753746

Bibliographic Details

• Title: Lectures in Logic and Set Theory: Volume 2, Set Theory (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2003
• Language: English
• ISBN 10: 0521753740
• ISBN 13: 9780521753746
• Binding: Hardcover
• Condition: new

About this title

Synopsis

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 provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).

Book Description

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 I 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.