Introduction to Axiomatic Set Theory

Introduction to Axiomatic Set Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 251
Release :
ISBN-10 : 9781461381686
ISBN-13 : 1461381681
Rating : 4/5 (681 Downloads)

Book Synopsis Introduction to Axiomatic Set Theory by : G. Takeuti

Download or read book Introduction to Axiomatic Set Theory written by G. Takeuti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's 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.


Introduction to Axiomatic Set Theory Related Books

Introduction to Axiomatic Set Theory
Language: en
Pages: 251
Authors: G. Takeuti
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con sistency o
Axiomatic Set Theory
Language: en
Pages: 290
Authors: Patrick Suppes
Categories: Mathematics
Type: BOOK - Published: 2012-05-04 - Publisher: Courier Corporation

GET EBOOK

Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such a
Introduction to Axiomatic Set Theory
Language: en
Pages: 156
Authors: Edward John Lemmon
Categories: Mathematics
Type: BOOK - Published: 1969 - Publisher:

GET EBOOK

Set Theory and Its Philosophy
Language: en
Pages: 345
Authors: Michael D. Potter
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: Clarendon Press

GET EBOOK

A wonderful new book ... Potter has written the best philosophical introduction to set theory on the market - Timothy Bays, Notre Dame Philosophical Reviews.
Introduction to Axiomatic Set Theory
Language: en
Pages: 108
Authors: J.L. Krivine
Categories: Philosophy
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

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 in