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Set Theory An Introduction To Independence Proofs

Set Theory An Introduction To Independence Proofs Author K. Kunen
ISBN-10 9780080570587
Release 2014-06-28
Pages 330
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Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.



Set Theory

Set Theory Author Kenneth Kunen
ISBN-10 0444854010
Release 1980-01-01
Pages 313
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Set Theory has been writing in one form or another for most of life. You can find so many inspiration from Set Theory also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Set Theory book for free.



Descriptive Topology in Selected Topics of Functional Analysis

Descriptive Topology in Selected Topics of Functional Analysis Author Jerzy Kąkol
ISBN-10 9781461405290
Release 2011-08-30
Pages 496
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"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.



Recursion Theory

Recursion Theory Author Chi Tat Chong
ISBN-10 9783110275643
Release 2015-08-17
Pages 320
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This monograph presents recursion theory from a generalized and largely global point of view. A major theme is the study of the structures of degrees arising from two key notions of reducibility, the Turing degrees and the hyperdegrees, using ideas and techniques beyond those of classical recursion theory. These include structure theory, hyperarithmetic determinacy and rigidity, basis theorems, independence results on Turing degrees, as well as applications to higher randomness.



Introduction to Cardinal Arithmetic

Introduction to Cardinal Arithmetic Author Michael Holz
ISBN-10 9783034603300
Release 2010-04-06
Pages 304
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This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which is contained in Chapter 1, describes the classical cardinal arithmetic due to Bernstein, Cantor, Hausdorff, Konig, and Tarski. The results were found in the years between 1870 and 1930. Part two, which is Chapter 2, characterizes the development of cardinal arith metic in the seventies, which was led by Galvin, Hajnal, and Silver. The third part, contained in Chapters 3 to 9, presents the fundamental investigations in pcf-theory which has been developed by S. Shelah to answer the questions left open in the seventies. All theorems presented in Chapter 3 and Chapters 5 to 9 are due to Shelah, unless otherwise stated. We are greatly indebted to all those set theorists whose work we have tried to expound. Concerning the literature we owe very much to S. Shelah's book [Sh5] and to the article by M. R. Burke and M. Magidor [BM] which also initiated our students' interest for Shelah's pcf-theory.



Fundamentals of Mathematical Logic

Fundamentals of Mathematical Logic Author Peter G. Hinman
ISBN-10 1568812620
Release 2005-09-09
Pages 896
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This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.



The Bulletin of Symbolic Logic

The Bulletin of Symbolic Logic Author
ISBN-10 UOM:39015079802636
Release 2008
Pages
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Notices of the American Mathematical Society

Notices of the American Mathematical Society Author
ISBN-10 UCAL:B3647861
Release 1984
Pages
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Notices of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Notices of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Notices of the American Mathematical Society book for free.



Pacific Journal of Mathematics

Pacific Journal of Mathematics Author
ISBN-10 UCAL:B4474055
Release 2001-10
Pages
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Pacific Journal of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Pacific Journal of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Pacific Journal of Mathematics book for free.



Bulletin new Series of the American Mathematical Society

Bulletin  new Series  of the American Mathematical Society Author
ISBN-10 UOM:39015057332689
Release 1984
Pages
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Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society Author
ISBN-10 UOM:49015003188464
Release 1984
Pages
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Bulletin of the American Mathematical Society has been writing in one form or another for most of life. You can find so many inspiration from Bulletin of the American Mathematical Society also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Bulletin of the American Mathematical Society book for free.



Foundations of the Formal Sciences V

Foundations of the Formal Sciences V Author Stefan Bold
ISBN-10 1904987753
Release 2007
Pages 351
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Infinity can feature in games in various forms: we can play games of infinite length, with infinitely many players, or allow for infinitely many moves or strategies. Games of infinite length have been thoroughly investigated by mathematicians and have played a central role in mathematical logic. However, their applications go far beyond mathematics: they feature prominently in theoretical computer science, philosophical Gedankenexperiments, as limit cases in economical applications, and in many other applications. The conference Foundations of the Formal Sciences V focused on games of infinite length, but was very opn to include other notions of infinity in games as well.



Subject Guide to Books in Print

Subject Guide to Books in Print Author
ISBN-10 UOM:39015016312806
Release 1992
Pages
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Subject Guide to Books in Print has been writing in one form or another for most of life. You can find so many inspiration from Subject Guide to Books in Print also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Subject Guide to Books in Print book for free.



L Enseignement math matique

L Enseignement math  matique Author
ISBN-10 UCAL:B3689521
Release 1985
Pages
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Vols. for 1965- include a separately paged section, Bulletin bibliographique.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015058562367
Release 2004
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Monographic Series

Monographic Series Author Library of Congress
ISBN-10 UIUC:30112027608154
Release 1981
Pages
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American Book Publishing Record

American Book Publishing Record Author
ISBN-10 UOM:39015058392609
Release 1985
Pages
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American Book Publishing Record has been writing in one form or another for most of life. You can find so many inspiration from American Book Publishing Record also informative, and entertaining. Click DOWNLOAD or Read Online button to get full American Book Publishing Record book for free.