The Axiom Of Constructibility
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The Axiom Of Constructibility
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Author : K. J. Devlin
language : en
Publisher: Springer
Release Date : 2006-11-15
The Axiom Of Constructibility written by K. J. Devlin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Axiom Of Constructibility
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Author : K. J. Devlin
language : en
Publisher:
Release Date : 2014-09-01
The Axiom Of Constructibility written by K. J. Devlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Foundational Studies Selected Works
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Author : Lev D. Beklemishev
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Foundational Studies Selected Works written by Lev D. Beklemishev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Computers categories.
Foundational Studies Selected Works
Some Strong Axioms Of Infinity Incompatible With The Axiom Of Constructibility
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Author : Frederick Rowbottom
language : en
Publisher:
Release Date : 1964
Some Strong Axioms Of Infinity Incompatible With The Axiom Of Constructibility written by Frederick Rowbottom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Processes, Infinite categories.
Foundations Of Set Theory
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Author : A.A. Fraenkel
language : en
Publisher: Elsevier
Release Date : 1973-12-01
Foundations Of Set Theory written by A.A. Fraenkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-01 with Computers categories.
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
Constructibility
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Author : Keith J. Devlin
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-16
Constructibility written by Keith J. Devlin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-16 with Computers categories.
A comprehensive account of the theory of constructible sets at an advanced level, aimed at graduate mathematicians.
Set Theory And Its Philosophy
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Author : Michael Potter
language : en
Publisher: Clarendon Press
Release Date : 2004-01-15
Set Theory And Its Philosophy written by Michael Potter and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-15 with Philosophy categories.
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.
Zermelo S Axiom Of Choice
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Author : Gregory H. Moore
language : en
Publisher: Courier Corporation
Release Date : 2012-09-20
Zermelo S Axiom Of Choice written by Gregory H. Moore and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Mathematics categories.
"This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--
Model Theory
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Author : C.C. Chang
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
Model Theory written by C.C. Chang and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.
This bestselling textbook for higher-level courses was extensively revised in 1990 to accommodate developments in model theoretic methods. Topics include models constructed from constants, ultraproducts, and saturated and special models. 1990 edition.
Mathematics Into The Twenty First Century
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Author : American Mathematical Society
language : en
Publisher: American Mathematical Soc.
Release Date : 1992
Mathematics Into The Twenty First Century written by American Mathematical Society and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
In the summer of 1988 in Providence, the AMS celebrated its centennial with a wide range of mathematical activities. Among those was a symposium, Mathematics into the Twenty-first Century, which brought together a number of the top research mathematicians who will likely have a significant impact on the mathematics of this century. This book contains the lectures presented by 16 of the 18 individuals who spoke during the symposium. Written by some of the major international figures in mathematical research, this group of articles covers a panorama of the vital areas of mathematics at the turn of the 21st century and gives the general mathematical reader a broad perspective on some of the major trends in research.