Set Theory Of The Continuum
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Set Theory Of The Continuum
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Author : Haim Judah
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Set Theory Of The Continuum written by Haim Judah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 1989-90, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of set-theoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J.Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin.
Set Theory And The Continuum Hypothesis
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Author : Paul J. Cohen
language : en
Publisher: Courier Corporation
Release Date : 2008-12-09
Set Theory And The Continuum Hypothesis written by Paul J. Cohen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-09 with Mathematics categories.
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Set Theory And The Continuum Problem
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Author : Raymond M. Smullyan
language : en
Publisher:
Release Date : 2010
Set Theory And The Continuum Problem written by Raymond M. Smullyan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Continuum hypothesis categories.
A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.
Set Theory And The Continuum Problem
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Author : Raymond M. Smullyan
language : en
Publisher: Oxford University Press, USA
Release Date : 1996
Set Theory And The Continuum Problem written by Raymond M. Smullyan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Set Theory and the Continuum Problem is a novel introduction to set theory, including axiomatic development, consistency, and independence results. It is self-contained and covers all the set theory that a mathematician should know. Part I introduces set theory, including basic axioms, development of the natural number system, Zorn's Lemma and other maximal principles. Part II proves the consistency of the continuum hypothesis and the axiom of choice, with material on collapsing mappings, model-theoretic results, and constructible sets. Part III presents a version of Cohen's proofs of the independence of the continuum hypothesis and the axiom of choice. It also presents, for the first time in a textbook, the double induction and superinduction principles, and Cowen's theorem. The book will interest students and researchers in logic and set theory.
Notes On Set Theory
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Author : Yiannis Moschovakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Notes On Set Theory written by Yiannis Moschovakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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.
The Consistency Of The Axiom Of Choice And Of The Generalized Continuum Hypothesis With The Axioms Of Set Theory
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Author : Kurt Gödel
language : en
Publisher: Princeton University Press
Release Date : 1940
The Consistency Of The Axiom Of Choice And Of The Generalized Continuum Hypothesis With The Axioms Of Set Theory written by Kurt Gödel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1940 with Logic, Symbolic and mathematical categories.
Foundations Of Point Set Theory
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Author : Robert Lee Moore
language : en
Publisher: American Mathematical Soc.
Release Date : 1932-12-31
Foundations Of Point Set Theory written by Robert Lee Moore 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 1932-12-31 with Mathematics categories.
Labyrinth Of Thought
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Author : José Ferreirós
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-04
Labyrinth Of Thought written by José Ferreirós and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-04 with Mathematics categories.
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)
The Continuum
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Author : Hermann Weyl
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
The Continuum written by Hermann Weyl and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Concise classic by great mathematician and physicist deals with logic and mathematics of set and function, concept of number and the continuum. Bibliography. Originally published 1918.
Set Theory And Continuum Hypothesis
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Author : Paul J. Cohen
language : en
Publisher:
Release Date : 1969
Set Theory And Continuum Hypothesis written by Paul J. Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Set theory categories.