Higher Set Theory

Higher Set Theory PDF Author: G.H. Müller
Publisher: Springer
ISBN: 3540357491
Category : Mathematics
Languages : en
Pages : 481

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Book Description

Higher Set Theory

Higher Set Theory PDF Author: G.H. Müller
Publisher: Springer
ISBN: 3540357491
Category : Mathematics
Languages : en
Pages : 481

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Book Description


The Higher Infinite

The Higher Infinite PDF Author: Akihiro Kanamori
Publisher: Springer Science & Business Media
ISBN: 3540888675
Category : Mathematics
Languages : en
Pages : 555

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Book Description
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.

A Book of Set Theory

A Book of Set Theory PDF Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486497089
Category : Mathematics
Languages : en
Pages : 259

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Book Description
"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Set Theory and Its Philosophy

Set Theory and Its Philosophy PDF Author: Michael D. Potter
Publisher: Clarendon Press
ISBN: 9780199269730
Category : Mathematics
Languages : en
Pages : 345

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Book Description
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 Set Theory

Introduction to Set Theory PDF Author: Karel Hrbacek
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 272

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Book Description


Notes on Set Theory

Notes on Set Theory PDF Author: Yiannis Moschovakis
Publisher: Springer Science & Business Media
ISBN: 1475741537
Category : Mathematics
Languages : en
Pages : 280

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Book Description
What this book is about. The theory of sets is a vibrant, exciting math ematical theory, with its own basic notions, fundamental results and deep open problems, and with significant applications to other mathematical theories. At the same time, axiomatic set theory is often viewed as a foun dation ofmathematics: it is alleged that all mathematical objects are sets, and their properties can be derived from the relatively few and elegant axioms about sets. Nothing so simple-minded can be quite true, but there is little doubt that in standard, current mathematical practice, "making a notion precise" is essentially synonymous with "defining it in set theory. " Set theory is the official language of mathematics, just as mathematics is the official language of science. Like most authors of elementary, introductory books about sets, I have tried to do justice to both aspects of the subject. From straight set theory, these Notes cover the basic facts about "ab stract sets," including the Axiom of Choice, transfinite recursion, and car dinal and ordinal numbers. Somewhat less common is the inclusion of a chapter on "pointsets" which focuses on results of interest to analysts and introduces the reader to the Continuum Problem, central to set theory from the very beginning.

Set Theory

Set Theory PDF Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954863
Category : Computers
Languages : en
Pages : 365

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Book Description
Set Theory

Set Theory: The Structure of Arithmetic

Set Theory: The Structure of Arithmetic PDF Author: Norman T. Hamilton
Publisher: Courier Dover Publications
ISBN: 0486830470
Category : Mathematics
Languages : en
Pages : 289

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Book Description
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

Set Theory

Set Theory PDF Author: Daniel W. Cunningham
Publisher: Cambridge University Press
ISBN: 1107120322
Category : Mathematics
Languages : en
Pages : 265

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Book Description
Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject.

Elements of Set Theory

Elements of Set Theory PDF Author: Herbert B. Enderton
Publisher: Academic Press
ISBN: 0080570429
Category : Mathematics
Languages : en
Pages : 294

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Book Description
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.