Higher Set Theory

Higher Set Theory
Author :
Publisher : Springer
Total Pages : 481
Release :
ISBN-10 : 9783540357490
ISBN-13 : 3540357491
Rating : 4/5 (90 Downloads)

Synopsis Higher Set Theory by : G.H. Müller

The Higher Infinite

The Higher Infinite
Author :
Publisher : Springer Science & Business Media
Total Pages : 555
Release :
ISBN-10 : 9783540888673
ISBN-13 : 3540888675
Rating : 4/5 (73 Downloads)

Synopsis The Higher Infinite by : Akihiro Kanamori

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
Author :
Publisher : Courier Corporation
Total Pages : 259
Release :
ISBN-10 : 9780486497082
ISBN-13 : 0486497089
Rating : 4/5 (82 Downloads)

Synopsis A Book of Set Theory by : Charles C Pinter

"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
Author :
Publisher : Clarendon Press
Total Pages : 362
Release :
ISBN-10 : 9780191556432
ISBN-13 : 0191556432
Rating : 4/5 (32 Downloads)

Synopsis Set Theory and its Philosophy by : Michael Potter

Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

Introduction to Set Theory

Introduction to Set Theory
Author :
Publisher :
Total Pages : 272
Release :
ISBN-10 : UOM:39076000787080
ISBN-13 :
Rating : 4/5 (80 Downloads)

Synopsis Introduction to Set Theory by : Karel Hrbacek

Notes on Set Theory

Notes on Set Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 280
Release :
ISBN-10 : 9781475741537
ISBN-13 : 1475741537
Rating : 4/5 (37 Downloads)

Synopsis Notes on Set Theory by : Yiannis Moschovakis

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
Author :
Publisher : Cambridge University Press
Total Pages : 265
Release :
ISBN-10 : 9781107120327
ISBN-13 : 1107120322
Rating : 4/5 (27 Downloads)

Synopsis Set Theory by : Daniel W. Cunningham

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

Set Theory

Set Theory
Author :
Publisher : Elsevier
Total Pages : 365
Release :
ISBN-10 : 9780080954868
ISBN-13 : 0080954863
Rating : 4/5 (68 Downloads)

Synopsis Set Theory by : Lev D. Beklemishev

Set Theory

Set Theory: The Structure of Arithmetic

Set Theory: The Structure of Arithmetic
Author :
Publisher : Courier Dover Publications
Total Pages : 289
Release :
ISBN-10 : 9780486830476
ISBN-13 : 0486830470
Rating : 4/5 (76 Downloads)

Synopsis Set Theory: The Structure of Arithmetic by : Norman T. Hamilton

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.

Computability

Computability
Author :
Publisher : Cambridge University Press
Total Pages : 268
Release :
ISBN-10 : 0521294657
ISBN-13 : 9780521294652
Rating : 4/5 (57 Downloads)

Synopsis Computability by : Nigel Cutland

What can computers do in principle? What are their inherent theoretical limitations? The theoretical framework which enables such questions to be answered has been developed over the last fifty years from the idea of a computable function - a function whose values can be calculated in an automatic way.