Some Strong Axioms Of Infinity Incompatible With The Axiom Of Constructibility

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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.
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.
Axiomatic Set Theory Part 2
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Author : Thomas J. Jech
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Axiomatic Set Theory Part 2 written by Thomas J. Jech 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 1971 with Axiomatic set theory categories.
Cantorian Set Theory And Limitation Of Size
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Author : Michael Hallett
language : en
Publisher: Oxford University Press
Release Date : 1986
Cantorian Set Theory And Limitation Of Size written by Michael Hallett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
This volume presents the philosophical and heuristic framework Cantor developed and explores its lasting effect on modern mathematics. "Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics." --The American Mathematical Monthly
Mathematical Logic And Formal Systems
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Author : Alcantara
language : en
Publisher: CRC Press
Release Date : 1985-04-25
Mathematical Logic And Formal Systems written by Alcantara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04-25 with Mathematics categories.
This unique collection of research papers provides an important contribution to the area of Mathematical Logic and Formal Systems. Exploring interesting practical applications as well as problems for further investigation, this single-source reference discusses the interpretations of the concept of probability and their relationship to statistical methods ... illustrates the problem of set theoretical foundations and category theory ... treats the various aspects of the theory of large cardinals including combinatorial properties of some sets naturally related to them ... resolves an open problem in the theory of relations ... and characterizes interpretations of elementary theories as functors between categories whose objects are structures. Written by world-renowned authorities in their fields, Mathematical Logic and Formal Systems is important reading for logicians, pure and applied mathematicians, and graduate students in logic courses. Book jacket.
Combinatorial Set Theory Partition Relations For Cardinals
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Author : P. Erdös
language : en
Publisher: Elsevier
Release Date : 2011-08-18
Combinatorial Set Theory Partition Relations For Cardinals written by P. Erdös and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of recent inequalities for cardinal powers that were obtained in the wake of Silver's breakthrough result saying that the continuum hypothesis can not first fail at a singular cardinal of uncountable cofinality.
Sets And Extensions In The Twentieth Century
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Author :
language : en
Publisher: Elsevier
Release Date : 2012-01-24
Sets And Extensions In The Twentieth Century written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-24 with Mathematics categories.
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration - Serves as a singular contribution to the intellectual history of the 20th century - Contains the latest scholarly discoveries and interpretative insights
Classical Recursion Theory
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Author : P. Odifreddi
language : en
Publisher: Elsevier
Release Date : 1992-02-04
Classical Recursion Theory written by P. Odifreddi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-04 with Computers categories.
1988 marked the first centenary of Recursion Theory, since Dedekind's 1888 paper on the nature of number. Now available in paperback, this book is both a comprehensive reference for the subject and a textbook starting from first principles. Among the subjects covered are: various equivalent approaches to effective computability and their relations with computers and programming languages; a discussion of Church's thesis; a modern solution to Post's problem; global properties of Turing degrees; and a complete algebraic characterization of many-one degrees. Included are a number of applications to logic (in particular Gödel's theorems) and to computer science, for which Recursion Theory provides the theoretical foundation.
Set Theory And Its Applications
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Author : Juris Steprans
language : en
Publisher: Springer
Release Date : 2006-11-14
Set Theory And Its Applications written by Juris Steprans and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results.
Cambridge Summer School In Mathematical Logic
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Author : A. R. D. Mathias
language : en
Publisher: Springer
Release Date : 2006-11-15
Cambridge Summer School In Mathematical Logic written by A. R. D. Mathias 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.