Introduction to Axiomatic Set Theory by G. Takeuti (English) Paperback Book

Description: Introduction to Axiomatic Set Theory by G. Takeuti, W.M. Zaring In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godels work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohens work on the independence of the AC and the GCH. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godels work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohens work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text. Table of Contents 1 Introduction.- 2 Language and Logic.- 3 Equality.- 4 Classes.- 5 The Elementary Properties of Classes.- 6 Functions and Relations.- 7 Ordinal Numbers.- 8 Ordinal Arithmetic.- 9 Relational Closure and the Rank Function.- 10 The Axiom of Choice and Cardinal Numbers.- 11 Cofinality, the Generalized Continuum Hypothesis, and Cardinal Arithmetic.- 12 Models.- 13 Absoluteness.- 14 The Fundamental Operations.- 15 The Gödel Model.- 16 Silver Machines.- 17 Applications of Silver Machines.- 18 Introduction to Forcing.- 19 Forcing.- Problem List.- Index of Symbols. Promotional Springer Book Archives Long Description In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godels work on the con Details ISBN1461381703 Author W.M. Zaring Short Title INTRO TO AXIOMATIC SET THEORY Series Graduate Texts in Mathematics Language English Edition 2nd ISBN-10 1461381703 ISBN-13 9781461381709 Media Book Format Paperback DEWEY 511.322 Series Number 1 Year 2011 Publication Date 2011-12-12 Pages 246 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Replaces 9780387053028 Illustrations X, 246 p. DOI 10.1007/978-1-4613-8168-6 AU Release Date 2011-12-12 NZ Release Date 2011-12-12 US Release Date 2011-12-12 UK Release Date 2011-12-12 Publisher Springer-Verlag New York Inc. Edition Description 2nd ed. 1982. Softcover reprint of the original 2nd ed. 1982 Alternative 9780387906836 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96381171;

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