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Axiom Of Choice:     more books (32)

Axiom of Choice (Lecture Notes in Mathematics) by Horst Herrlich, 2006-07-06 The Axiom of Choice by Thomas J. Jech, 2008-07-14 Consequences of the Axiom of Choice (Mathematical Surveys and Monographs) by Paul Howard, Jean E. Rubin, 1998-07 Equivalents of the axiom of choice (Studies in logic and the foundations of mathematics) by Herman Rubin, 1963 Freyds Models for the Independence of the Axiom of Choice (Memoirs of the American Mathematical Society) by Andreas Blass, 1989-06 Leśniewski's ontology extended with the axiom of choice by James George Kowalski, 1975 An axiomatization of the generalized Edgeworth-Pareto principle in terms of choice functions [An article from: Mathematical Social Sciences] by V.D. Noghin, 2006-09-01 Zermelo's axiom of choice: Its origins, development, and influence (Studies in the history of mathematics and physical sciences) by Gregory H Moore, 1982 Equivalences of the axiom of choice by Stephanie Keyes, 1964 Large cardinals without the axiom of choice (Massachusetts Institute of Technology. Dept. of Mathematics. Thesis. 1976. Ph. D) by Everett Layton Bull, 1976 The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory, (Annals of mathematics studies) by Kurt Gödel, 1949 The Consistency of the Axiom of Choice and of the Continuum-Hypothesis by Kurt GODEL, 1951 The Independence of the Axiom of Choice by Elliott Mendelson, 1955 The independence of the axiom of choice by Paul J Cohen, 1959

lists with details

1. Www.axiomofchoice.com/
   axiom of choice From MathWorldThe axiom of choice is related to the first of Hilbert s problems. In contexts sensitive to the axiom of choice, the notation ZF is often used to  
   http://www.axiomofchoice.com/

2. The Axiom Of Choice
   Netherlands site with news, interviews, pictures, music samples, reviews, and links.  
   http://www.cs.uu.nl/people/jur/progrock.html

3. Axiom Of Choice And Continuum Hypothesis
   Part of the Frequently Asked Questions in Mathematics.  
   http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node34.html

4. Consequences Of The Axiom Of Choice Project
   Project to keep the book (also named in the title), describing forms related to the axiom of choice and their implications, updated.  
   http://www.math.purdue.edu/~jer/cgi-bin/conseq.html
   
   Extractions: The book Consequences of the Axiom of Choice by Paul Howard Send E-Mail to Paul Howard and Jean E. Rubin Send E- Mail to Jean Rubin is volume 59 in the series Mathematical Surveys and Monographs published by the American Mathematical Society in 1998. This book is a survey of research done during the last 100 years on the axiom of choice and its consequences. (Connect to The AMS Bookstore for ordering information.) The Consequences of the Axiom of Choice Project is a continuation of the research that produced the book. The authors would appreciate learning of any corrections or additions that should be made to the project. (phoward@emunix.emich.edu, jer@math.purdue.edu) To see the PDF version of a form enter its number below. The form number On this page you will find: Changes and additions to the data base that have occurred since publication of the book A TeX version of the implication table, Table 1 which may be downloaded and printed. (Hold down the shift key and click on the file name to download.) A TeX version of the auxillary table

5. Axiom Of Choice
   This page gives a brief explanation of the axiom of choice and links to other related websites.  
   http://www.math.vanderbilt.edu/~schectex/ccc/choice.html
   
   Extractions: Eric Schechter , Vanderbilt University The Axiom of Choice ( AC ) was formulated about a century ago, and it was controversial for a few of decades after that; it may be considered the last great controversy of mathematics. It is now a basic assumption used in many parts of mathematics. In fact, assuming AC is equivalent to assuming any of these principles (and many others): Given any two sets, one set has cardinality less than or equal to that of the other set i.e., one set is in one-to-one correspondence with some subset of the other. ( Historical remark: It was questions like this that led to Zermelo 's formulation of AC.) Any vector space over a field F has a basis i.e., a maximal linearly independent subset over that field. ( Remark: If we only consider the case where F is the real line, we obtain a slightly weaker statement; it is not yet known whether this statement is also equivalent to AC.) Any product of compact topological spaces is compact. (This is now known as Tychonoff's Theorem , though Tychonoff himself only had in mind a much more specialized result that is not equivalent to the Axiom of Choice.)

6. Axiom Of Choice
   This page gives a brief explanation of the axiom of choice and links to other related websites.  
   http://math.vanderbilt.edu/~schectex/ccc/choice.html
   
   Extractions: Eric Schechter , Vanderbilt University The Axiom of Choice ( AC ) was formulated about a century ago, and it was controversial for a few of decades after that; it may be considered the last great controversy of mathematics. It is now a basic assumption used in many parts of mathematics. In fact, assuming AC is equivalent to assuming any of these principles (and many others): Given any two sets, one set has cardinality less than or equal to that of the other set i.e., one set is in one-to-one correspondence with some subset of the other. ( Historical remark: It was questions like this that led to Zermelo 's formulation of AC.) Any vector space over a field F has a basis i.e., a maximal linearly independent subset over that field. ( Remark: If we only consider the case where F is the real line, we obtain a slightly weaker statement; it is not yet known whether this statement is also equivalent to AC.) Any product of compact topological spaces is compact. (This is now known as Tychonoff's Theorem , though Tychonoff himself only had in mind a much more specialized result that is not equivalent to the Axiom of Choice.)

7. Axiom Of Choice
   This page gives a brief explanation of the axiom of choice and links to other related websites.  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Paul Howard's Web Page
   Eastern Michigan University axiom of choice.  
   http://www.emunix.emich.edu/~phoward/

9. The Axiom Of Choice
   Netherlands site with news, interviews, pictures, music samples, reviews, and links.  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Zermelo's Axiom Of Choice -- From MathWorld
    Zermelo s axiom of choice. COMMENT On this Page. SEE axiom of choice. Pages Linking Here  
    http://mathworld.wolfram.com/ZermelosAxiomofChoice.html

11. Axiom Of Choice - Official Site
    axiom of choice are musicians with their roots in traditional Persian music. Guitarist Loga Ramin Torkian and vocalist Mamak Khadem combine Eastern  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. New Foundations Home Page
    The following results are known NF disproves the axiom of choice (Specker, 1953). NF proves Infinity (corollary of the previous point).  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. Sci.math FAQ: The Axiom Of Choice
    Subject sci.math FAQ The axiom of choice. This article was archived around 17 Feb 2000 225552 GMT. All FAQs in Directory scimath-faq  
    http://www.cs.uu.nl/wais/html/na-dir/sci-math-faq/axiomchoice.html
    
    Extractions: Note from archiver cs.uu.nl: This page is part of a big collection of Usenet postings, archived here for your convenience. For matters concerning the content of this page , please contact its author(s); use the source , if all else fails. For matters concerning the archive as a whole, please refer to the archive description or contact the archiver. This article was archived around: 17 Feb 2000 22:55:52 GMT All FAQs in Directory: sci-math-faq Source: Usenet Version Archive-name: sci-math-faq/axiomchoice Last-modified: February 20, 1998 Version: 7.5 http://www.jazzie.com/ii/math/index.html http://www.jazzie.com/ii/math/index.html Alex Lopez-Ortiz alopez-o@unb.ca http://www.cs.unb.ca/~alopez-o Assistant Professor Faculty of Computer Science University of New Brunswick

14. [FOM] 195The Axiom Of Choice
    FOM 195The axiom of choice Harvey Friedman friedman at math.ohiostate.edu Mon Nov 3 131130 EST 2003  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Axiom Of Choice - Wikipedia, The Free Encyclopedia
    The axiom of choice is typically abbreviated AC, or C as a suffix. Until the late 19th century, the axiom of choice was often used implicitly.  
    http://en.wikipedia.org/wiki/Axiom_of_choice

16. Rubin, Jean E.
    Purdue University Set theory, axiom of choice.  
    http://www.math.purdue.edu/~jer/
    
    Extractions: on Friday, October 25, 2002. Please click below for the web page of the book ``Consequences of the Axiom of Choice'' by Paul Howard and Jean E. Rubin. "CONSEQUENCES of AC" AC PROJECT Please be advised that the links following "Other Web points of interest" are not being maintained. Please refer to the official Math Department course web pages for the most current information using the following links: Other Web points of interest: MA 165 Webpage Fall 2002 MA 387 Webpage Fall 2002 MA 166 Webpage Spring 2002 Course Rosters ... ssociation of Symbolic Logic The ASL Business office e-mail: asl@math.uiuc.edu. West Lafayette Public Library Smitty's LSO Home Page West Lafayette City Hall ... Logic Program E-MAIL ADDRESSES for MathWorks (Makes MATLAB)

17. FAQ Launcher Relevance Of The Axiom Of Choice
    Gateway to Relevance of the axiom of choice  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. TalkAxiom Of Choice - Wikipedia, The Free Encyclopedia
    Do Wikipedia articles assume the axiom of choice unless otherwise mentioned? From the article Jerry Bona once said The axiom of choice is obviously  
    http://en.wikipedia.org/wiki/Talk:Axiom_of_choice

19. Jebara
    Infinite products of integers and the axiom of choice A restricted axiom of choice Brief history of the negation of the axiom of choice The story  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

20. Axiom Of Choice And Its Equivalents - Apronus.com
    axiom of choice (AC) If I Y are sets, AI Y and /\(x-I) A(x) != O then there exists a function fI- u(Y) such that /\(x-I) f(x)-A(x).  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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