Synthese Library: Introduction to Axiomatic Set Theory

Miller, David M.

ISBN 10: 9027701695 / ISBN 13: 9789027701695

Published by D. Reidel Publishing Company, 1971

About this Item

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9027701695.

Seller Inventory # 5797247

Bibliographic Details

• Title: Synthese Library: Introduction to Axiomatic Set Theory
• Publisher: D. Reidel Publishing Company
• Publication Date: 1971
• Language: English
• ISBN 10: 9027701695
• ISBN 13: 9789027701695
• Binding: Hardcover
• Condition: Fair
• Weight: 400 grams
• Seller catalogs:
  • Philosophy

About this title

Synopsis

This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class of constructible sets, leads to G6del's result that the axiom of choice and the continuum hypothesis are consistent with the rest of set theory [1]I. The text thus constitutes an introduction to the results of P. Cohen concerning the independence of these axioms [2], and to many other relative consistency proofs obtained later by Cohen's methods. Chapters I and II introduce the axioms of set theory, and develop such parts of the theory as are indispensable for every relative consistency proof; the method of recursive definition on the ordinals being an import­ ant case in point. Although, more or less deliberately, no proofs have been omitted, the development here will be found to require of the reader a certain facility in naive set theory and in the axiomatic method, such e as should be achieved, for example, in first year graduate work (2 cycle de mathernatiques).

Language Notes

Text: English, French (translation)