Zermelo S Axiom Of Choice
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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"--
Zermelo S Axiom Of Choice
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Author : G. H. Moore
language : en
Publisher:
Release Date : 1982-11-17
Zermelo S Axiom Of Choice written by G. H. Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-11-17 with categories.
Zermelo S Axiom Of Choice
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Author : G.H. Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Zermelo S Axiom Of Choice written by G.H. Moore 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.
This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the objects, such as number and space, about which those assumptions were made. In the historical context of Zermelo's Axiom, I have explored both the vagaries and the fertility of this alternating concern. Though Zermelo's research has provided the focus for this book, much of it is devoted to the problems from which his work originated and to the later developments which, directly or indirectly, he inspired. A few remarks about format are in order. In this book a publication is indicated by a date after a name; so Hilbert 1926, 178 refers to page 178 of an article written by Hilbert, published in 1926, and listed in the bibliography.
Zermelo S Well Ordering Theorem And The Axiom Of Choice
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Author : Craig Nicholas Bach
language : en
Publisher:
Release Date : 1995
Zermelo S Well Ordering Theorem And The Axiom Of Choice written by Craig Nicholas Bach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Zermelo S Axiom Of Choice And Some Equivalent Assertions
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Author : Allen Jules Silverman
language : en
Publisher:
Release Date : 1955
Zermelo S Axiom Of Choice And Some Equivalent Assertions written by Allen Jules Silverman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.
Zermelo S Axiom Of Choice And Other Equivalent Formulations
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Author : Elaine LaValle Johnson
language : en
Publisher:
Release Date : 1960
Zermelo S Axiom Of Choice And Other Equivalent Formulations written by Elaine LaValle Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with categories.
Equivalents Of The Axiom Of Choice
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Author : Herman Rubin
language : en
Publisher: Elsevier
Release Date : 1963
Equivalents Of The Axiom Of Choice written by Herman Rubin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Axiom of choice categories.
Zermelo S Axiom Of Choice Its Origins And Role In The Development Of Mathematics
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Author : Gregory H. Moore
language : en
Publisher: c1979.
Release Date : 1979
Zermelo S Axiom Of Choice Its Origins And Role In The Development Of Mathematics written by Gregory H. Moore and has been published by c1979. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
The Axiom Of Choice
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Author : Thomas J. Jech
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
The Axiom Of Choice written by Thomas J. Jech and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Consequences Of The Axiom Of Choice
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Author : Paul Howard
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Consequences Of The Axiom Of Choice written by Paul Howard 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 1998 with Mathematics categories.
This book, Consequences of the Axiom of Choice, is a comprehensive listing of statements that have been proved in the last 100 years using the axiom of choice. Each consequence, also referred to as a form of the axiom of choice, is assigned a number. Part I is a listing of the forms by number. In this part each form is given together with a listing of all statements known to be equivalent to it (equivalent in set theory without the axiom of choice). In Part II the forms are arranged by topic. In Part III we describe the models of set theory which are used to show non-implications between forms. Part IV, the notes section, contains definitions, summaries of important sub-areas and proofs that are not readily available elsewhere. Part V gives references for the relationships between forms and Part VI is the bibliography. Part VII is contained on the floppy disk which is enclosed in the book. It contains a table with form numbers as row and column headings. The entry in the table in row $n$, column $k$ gives the status of the implication ``form $n$ implies form $k$''. Software for easily extracting information from the table is also provided. Features: complete summary of all the work done in the last 100 years on statements that are weaker than the axiom of choice software provided gives complete, convenient access to information about relationships between the various consequences of the axiom of choice and about the models of set theory descriptions of more than 100 models used in the study of the axiom of choice an extensive bibliography About the software: Tables 1 and 2 are accessible on the PC-compatible software included with the book. In addition, the program maketex.c in the software package will create TeX files containing copies of Table 1 and Table 2 which may then be printed. (Tables 1 and 2 are also available at the authors' Web sites: http://www.math.purdue.edu/$\sim$jer/ or http://www.emunix.emich.edu/$\sim$phoward/.) Detailed instructions for setting up and using the software are included in the book's Introduction, and technical support is available directly from the authors.