1. Russell's Paradox By A. D. Irvine. http://plato.stanford.edu/entries/russell-paradox/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A ... Z This document uses XHTML/Unicode to format the display. If you think special symbols are not displaying correctly, see our guide Displaying Special Characters last substantive content change MAY The Encyclopedia Now Needs Your Support Please Read How You Can Help Keep the Encyclopedia Free Russell's Paradox Russell's paradox is the most famous of the logical or set-theoretical paradoxes. The paradox arises within naive set theory by considering the set of all sets that are not members of themselves. Such a set appears to be a member of itself if and only if it is not a member of itself, hence the paradox. Some sets, such as the set of all teacups, are not members of themselves. Other sets, such as the set of all non-teacups, are members of themselves. Call the set of all sets that are not members of themselves " R ." If R is a member of itself, then by definition it must not be a member of itself. Similarly, if R is not a member of itself, then by definition it must be a member of itself. Discovered by Bertrand Russell in 1901, the paradox has prompted much work in logic, set theory and the philosophy and foundations of mathematics.

2. Russell's Paradox A nuanced article on this paradox of naive set theory, happened upon by Russell in 1901. Includes bibliography, links to related articles. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Russell's Paradox [Internet Encyclopedia Of Philosophy] Examines selfreferential linguistics used to describe properties and sets. http://www.utm.edu/research/iep/p/par-russ.htm

Russell's Paradox Russell's paradox represents either of two interrelated logical antinomies. The most commonly discussed form is a contradiction arising in the logic of sets or classes. Some classes (or sets) seem to be members of themselves, while some do not. The class of all classes is itself a class, and so it seems to be in itself. The null or empty class, however, must not be a member of itself. However, suppose that we can form a class of all classes (or sets) that, like the null class, are not included in themselves. The paradox arises from asking the question of whether this class is in itself. It is if and only if it is not. The other form is a contradiction involving properties. Some properties seem to apply to themselves, while others do not. The property of being a property is itself a property, while the propery of being a cat is not itself a cat. Consider the property that something has just in case it is a property (like that of being a cat ) that does not apply to itself. Does this property apply to itself? Once again, from either assumption, the opposite follows. The paradox was named after Bertrand Russell, who discovered it in 1901. Table of Contents (Clicking on the links below will take you to those parts of this article) 1. History

4. Bertrand Russell (1900) Meets Peano at International Congress in Paris. (1901) Discovers russell's paradox. (1902) Corresponds with Frege. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Russell's Paradox [Internet Encyclopedia Of Philosophy] russell's paradox. russell's paradox represents either of two interrelated logical antinomies. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Russell's Paradox russell's paradox Copyright 2000, Jim Loy Let you tell me a famous story There was once a barber. Some say that he lived in Seville. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Russell-Myhill Paradox [Internet Encyclopedia Of Philosophy] RussellMyhill Paradox. The Russell-Myhill Antinomy, also known as the Principles of Mathematics Appendix B Paradox, is a contradiction that arises http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Russell's Paradox russell's paradox http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Set Theory. Zermelo-Fraenkel Axioms. Russell's Paradox. Infinity . A detailed reconstruction How Bertrand Russell discovered the "Russell Paradox" http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Russell S Paradox Russell s Paradox (continued) Na vely, one might simply define a set as any collection of objects. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. The Paradigms And Paradoxes Of Intelligence, Part 1 Russell's Origin Visions of the Future The Futurecast The Paradigms and Paradoxes of Intelligence, Part 1 russell's paradox Permanent link to this http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Sci.math Message previous next Message Re russell's paradox A Formal Axiomatic Synthesis Resolution (LIAR too) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. Russell's Paradox From FOLDOC Russell s Paradox. mathematics A logical contradiction in set theory discoveredby Bertrand Russell. If R is the set of all sets which don t contain http://foldoc.doc.ic.ac.uk/foldoc/foldoc.cgi?Russell's paradox

14. Russell's Paradox From FOLDOC Russell s Paradox. mathematics A logical contradiction in set theory discoveredby the British mathematician Bertrand Russell (18721970). http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Russell's Paradox

15. Russell's Paradox Definition Of Russell's Paradox In Computing Dictionary - By T Computer term of Russell s paradox in the Computing Dictionary and Thesaurus.Meaning of Russell s paradox computer term. What does Russell s paradox mean? http://computing-dictionary.thefreedictionary.com/Russell's paradox

Domain='thefreedictionary.com' Your help is needed: American Red Cross The Salvation Army join mailing list webmaster tools Word (phrase): Word Starts with Ends with Definition subscription: Dictionary/ thesaurus Computing dictionary Medical dictionary Legal dictionary Financial dictionary Acronyms Columbia encyclopedia Wikipedia encyclopedia Hutchinson encyclopedia Russell's Paradox Also found in: Wikipedia 0.01 sec. Page tools Printer friendly Cite / link Email Feedback (mathematics) Russell's Paradox - A logical contradiction in set theory discovered by Bertrand Russell . If R is the set of all sets which don't contain themselves, does R contain itself? If it does then it doesn't and vice versa. The paradox stems from the acceptance of the following axiom : If P(x) is a property then x : P is a set. This is the Axiom of Comprehension (actually an axiom schema). By applying it in the case where P is the property "x is not an element of x", we generate the paradox, i.e. something clearly false. Thus any theory built on this axiom must be inconsistent. In lambda-calculus Russell's Paradox can be formulated by representing each set by its characteristic function - the property which is true for members and false for non-members. The set R becomes a function r which is the negation of its argument applied to itself:

16. Russell's Paradox From FOLDOC In lambdacalculus Russell s Paradox can be formulated by representing each setby its characteristic function - the property which is true for members and http://www.instantweb.com/foldoc/foldoc.cgi?Russell's paradox

17. No Match For Russell's Paradox Sorry, the term Russell s paradox is not in the dictionary. Check the spellingand try removing suffixes like ing and -s . http://winnie.kuis.kyoto-u.ac.jp/foldoc/foldoc.cgi?Russell's paradox

18. No Match For Russell's Paradox Sorry, the term Russell s Paradox is not in the dictionary. Check the spellingand try removing suffixes like ing and -s . http://winnie.kuis.kyoto-u.ac.jp/foldoc/foldoc.cgi?Russell's Paradox

19. 01 Hostgold Hospedagem De Sites Russell s Paradox. mathematics A logical contradiction in set theory The paradox stems from the acceptance of the following axiom If P(x) is a http://www.hostgold.com.br/hospedagem-sites/o_que_e/Russell's Paradox

var numOfOpMenus = 4; var numOfMainMenus = 6; var numOfNavMenus = 6; var selectedMainMenu = 1; var selectedNavMenu = 0; Novidade: Todos planos de hospedagem com 20 dias grátis para testes! A Hostgold, com total confiança na qualidade absoluta de seus serviços e infra-estrutura, inova e passa a oferecer 20 dias gratuitos para você testar nosso serviço de hospedagem! Ao assinar nossos planos de hospedagem (Silver, Gold, ASP Lite, Gold Plus, Diamond, Mega ou Portal), liberamos sua conta imediatamente e sem cobrar nenhuma taxa Você só começa a pagar após 20 dias de uso, quando tiver aprovado o serviço! Assine já! Seu site até 10 vezes mais rápido, exclusivo acelerador FastSite da Hostgold! Apenas na Hostgold seu site fica muito mais leve e rápido! Utilizamos sistemas de última geração para compactar todas as páginas trafegadas, diminuindo o tamanho de suas páginas em até 10 vezes e, consequentemente, diminuindo drasticamente o tempo de carregamento das suas páginas e aprimorando a experiência de seus visitantes.

20. Russell's Paradox @ Computer-Dictionary-Online.org Russell s Paradox @ Computer Dictionary Online. Computer terminology definitionsincluding hardware, software, equipment, devices, jargon abbreviations and http://www.computer-dictionary-online.org/Russell's Paradox.htm?q=Russell's Para

Page 1     1-20 of 105    1  | 2  | 3  | 4  | 5  | 6  | Next 20