41. Kurt Gödel matematico, Biografia di kurt Gödel scritta dal curatore delle sue opere. http://www.ildiogene.it/EncyPages/Ency=Godel.html

KURT GÖDEL VITA Kurt Gödel (Brno, Moravia , 1906 - Princeton, New Jersey, 1978), noto soprattutto per le sue ricerche di logica matematica e filosofia della matematica, nel 1924 si trasferì a Vienna, dove fu allievo del matematico Hans Hahn. I suoi interessi filosofici lo portarono successivamente a frequentare il Circolo di Vienna , esperienza che ebbe una profonda influenza sui suoi studi. Si laureò in matematica presso l' Università di Vienna , dove fu libero docente dal 1933 al 1938. Nel 1940, per sfuggire al nazismo, si stabilì negli Stati Uniti, diventando in seguito (1946) membro dell' Institute for Advanced Studies di Princeton e nel 1953 venne nominato professore di matematica all' Università di Princeton , carica che ricoprì fino alla morte. PENSIERO Il nome di Kurt Gödel è legato soprattutto al suo famoso teorema dell'incompletezza , formulato compiutamente nel 1931. Esso afferma che in un qualsiasi sistema assiomatico (costruito cioè su un gruppo di assiomi , come l'aritmetica o la geometria euclidea) è sempre possibile trovare una proposizione che fa parte di questo sistema, la cui validità non è tuttavia dimostrabile con i mezzi logici (assiomi, definizioni, regole di deduzione) offerti dal sistema stesso: per effettuare questa dimostrazione, è necessario ricorrere a un sistema più ricco di mezzi logici del primo. In base a questo teorema, si può certamente dimostrare la non contraddittorietà di alcune parti della matematica (per esempio, l'aritmetica, come è già stato fatto), ma non si può dimostrare, una volta per tutte, la non contraddittorietà dell'intera matematica, nell'ipotesi che questa venga ridotta a un sistema formalizzato.

42. Gödel's Theorem: On Formally Undecidable Propositions OF PRINCIPIA MATHEMATICA AND RELATED SYSTEMS 11. by kurt Gödel, Vienna. 1.The development of mathematics in the direction of greater exactness has–as is http://home.ddc.net/ygg/etext/godel/godel3.htm

ON FORMALLY UNDECIDABLE PROPOSITIONS OF PRINCIPIA MATHEMATICA AND RELATED SYSTEMS 1 PM and, on the other, the axiom system for set theory of Zermelo-Fraenkel (later extended by J. v. Neumann). These two systems are so extensive that all methods of proof used in mathematics today have been formalized in them, i.e. reduced to a few axioms and rules of inference. It may therefore be surmised that these axioms and rules of inference are also sufficient to decide all mathematical questions which can in any way at all be expressed formally in the systems concerned. It is shown below that this is not the case, and that in both the systems mentioned there are in fact relatively simple problems in the theory of ordinary whole numbers which cannot be decided from the axioms. This situation is not due in some way to the special nature of the systems set up, but holds for a very extensive class of formal systems, including, in particular, all those arising from the addition of a finite number of axioms to the two systems mentioned, provided that thereby no false propositions of the kind described in footnote 4 become provable.

43. Homage To Kurt Godel. A quick sketch of godel s theorem. Therefore, consistency implies Gödel s fork.Consequently, any proof of consistency of a logical system (from within http://www.chaos.org.uk/~eddy/math/Godel.html

The Berry Paradox (a cleaner variant on the `smallest non-interesting number' folly). could not be both consistent and complete; and could not prove itself consistent without proving itself inconsistent. The crucial technical terms of the discussion: Peano's axioms provide a formal description of the process of counting. They can be constructed in any logical system capable of the variety of counting in which any number has a successor - so that there is no `last' number - and distinct numbers have distinct successors. Consistency (of which the petty variety is the hobgoblin of small minds) is that desirable property of a logical system which says that there are no statements which the system regards as both true and false. Completeness is the desirable property of a logical system which says that it can prove, one way or the other, any statement that it knows how to address. ie it cannot be proven either true or false; in particular that it cannot be proven true. But `that it cannot be proven true' is Consequently, any logical system which can make up its mind about its consistency can prove itself inconsistent (provided it can count -

44. Kurt Godel http://www.publiweb.it/news/k/kurt_godel.html

Copertina Oroscopo CHAT Bacheca ... Ricerca : Le ultime parole cercate Index a b c ... z Premi CTRL e D insieme kurt cobain film - kurt godel ... kurt cobain la sua vita diventa un film ... kurt godel ... kurt cobain film ... La ricerca su kurt godel ha portato al risultato kurt_cobain_film kurt cobain la sua vita diventa un film kurt godel kurt cobain la sua vita diventa un film www.publiweb.it/service/kurt_cobain_film.html - 21k - Godel ... Other Web sites, Vienna, Austria (The home page of the Kurt Gödel Society); Karlis ... page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Godel.html. www-groups.dcs.st-and.ac.uk/ ~history/Mathematicians/Godel.html - 24k - 16 dic 2004 - Kurt Godel Kurt Godel (1906-1978). In 1931 the mathematician and logician Kurt Godel proved that within a formal system questions exist that ... www.exploratorium.edu/complexity/CompLexicon/godel.html - 3k - Kurt Godel Kurt Godel. Mathematician-logician Kurt Godel (1906-1978) in 1931 proved that within a formal system questions exist that are neither ... www.exploratorium.edu/complexity/lexicon/godel.html - 2k -

45. Cassiopaea Glossary kurt godel, 19061978 , was the foremost logicians of the 20th century. He beganhis career in Vienna, Austria and fled the second world war to the United http://glossary.cassiopaea.com/glossary.php?id=351&lsel=G

46. Biografía De Kurt Gödel Translate this page Biografía de kurt Gödel. http://thales.cica.es/rd/Recursos/rd97/Biografias/08-1-b-godel.html

47. Web-Stalker InfoAgent : Beispiel-Recherche - Eduard W. Wette TI In memory of kurt godel. NT Obituary godel, kurt PY 1978 JNInternat.Logic-Rev. International-Logic-Review.-Rassegna-Internazionale-di-Logica http://web-stark.de/wette3.shtml

@import url( wsi2.css ); InfoAgent - Beispielrecherche Teil 3: Eduard W.Wette Re [30.09.1999]: Datensatz 1 von 7 - MathSci Disc 1980 - 1987 MR: 83i:51028 AU: Wette,-Eduard-W. TI: A Euclidian solution of endometric figures. II. PY: 1980 JN: Internat.-Logic-Rev. [International-Logic-Review.-Rassegna-Internazionale-di-Logica] (1980), No. 21 524. LA: English PC: 51K99, 51K, 51 RL: MEDIUM; (11 lines) AB: From the introduction: ``Endometry prescribes lengths between the points of a regular polygon or between a point and the centre independent of the Euclidean distance between them (a repeated point implying zero distance is allowed). In part I [same journal No. 16 (1977), 123 - 131; MR 58#30711] we discussed the case where all prescribed lengths (of sides and radii) are positive numbers. In part II we discuss the case where all prescribed lengths (of sides and radii) are nonnegative numbers, and some of them are zero. The main tool, besides the folding exercise (cf. part I, 1.1 - 1.3), is now the (simple or double) bending of a line within the boundaries of a given angle.'' RN: From-the-introduction RT: Abstract DE: *(51K99) Geometry- (For algebraic geometry, see 14-XX); Distance-geometry; None-of-the-above,-but-in-this-section

48. Collected Works : Correspondence H-Z (Godel, Kurt//collected Works): ‹IˆÉš  Translate this page Collected Works Correspondence HZ (godel, kurt//collected Works)by godel, kurt/ Feferman, Solomon (EDT)/ Da Oxford Univ Pr ?\v Pr. http://bookweb.kinokuniya.co.jp/htmy/0198500750.html

US:New York Times US:PublishersWeekly US:Brandon-Hill US:Library Journal ... ŸŠúŠÔŒÀ’è“Á‰¿ƒR[ƒi[ ˜a‘ —m‘ “dŽq‘Ð “X“ªÝŒÉ Kinokuniya DataBase Search Result matches Table of Contents Collected Works : Correspondence H-Z (Godel, Kurt//collected Works) -US- ISBN:0198500750 (Hard cover book) vol.005 Godel, Kurt Feferman, Solomon (EDT) Dawson, John W. (EDT) Goldfarb, /Publisher:Oxford Univ Pr Published 2003/05 ŠO‰Ý’艿:US$ 199.50 Price: (D) Qty. FAST DELIVERY ‚±‚̏¤•i‚́AŠCŠO‚̏‘ÐŽæŽŸ‰ïŽÐ‚ɍ݌ɂª‚²‚´‚¢‚Ü‚·B ’ʏíA (Science/Mathematics) Look for similar books by category Look for similar books by subject: Logic, Symbolic and mathematic šAcademic Title Information DDC: Source:ENG Academic Descriptors: Publishers : University Press Place of Publication : Great Britain Language of Publication : English Edition : First Physical Format : Hardbound Continuations : Sets,any number Textual Format : Readings/Anthologies Academic Level : Graduate Geographic Designator : Western Europe Table of Contents E-mail: webmaster@kinokuniya.com DATA

49. Collected Works : Correspondence A-G (Godel, Kurt//collected Works): ‹IˆÉš  Translate this page Collected Works Correspondence AG (godel, kurt//collected Works)by godel, kurt/ Feferman, Solomon (EDT)/ Da Oxford Univ Pr ?\v Pr. http://bookweb.kinokuniya.co.jp/htmy/0198500734.html

US:New York Times US:PublishersWeekly US:Brandon-Hill US:Library Journal ... ŸŠúŠÔŒÀ’è“Á‰¿ƒR[ƒi[ ˜a‘ —m‘ “dŽq‘Ð “X“ªÝŒÉ Kinokuniya DataBase Search Result matches Table of Contents Collected Works : Correspondence A-G (Godel, Kurt//collected Works) -US- ISBN:0198500734 (Hard cover book) vol.004 Godel, Kurt Feferman, Solomon (EDT) Dawson, John W. (EDT) Goldfarb, /Publisher:Oxford Univ Pr Published 2003/05 ŠO‰Ý’艿:US$ 158.00 Price: (D) Qty. FAST DELIVERY ‚±‚̏¤•i‚́AŠCŠO‚̏‘ÐŽæŽŸ‰ïŽÐ‚ɍ݌ɂª‚²‚´‚¢‚Ü‚·B ’ʏíA (Science/Mathematics) Look for similar books by category Look for similar books by subject: Logic, Symbolic and mathematic šAcademic Title Information DDC: Source:ENG Academic Descriptors: Publishers : University Press Place of Publication : Great Britain Language of Publication : English Edition : First Physical Format : Hardbound Continuations : Sets,any number Subject Development : History Textual Format : Readings/Anthologies Academic Level : Graduate Geographic Designator : Western Europe Table of Contents E-mail: webmaster@kinokuniya.com DATA

50. Biografia De Gödel, Kurt Translate this page Gödel, kurt. (Brünn, actual Austria, 1906-Princeton, EE UU, 1978) Lógico ymatemático estadounidense de origen austriaco. En 1930 entró a formar parte del http://www.biografiasyvidas.com/biografia/g/godel.htm

Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad Inicio Buscador Recomendar sitio

51. Acquisitions Du Mois De Décembre 03 29199 Afraimovich, Valentin kurt Gödel collected works, vol. III. unpublished essays and lectures. New York,NY, Oxford University Press, 1995. 29255 godel, kurt; Feferman, S. http://www-fourier.ujf-grenoble.fr/ifbibli/acq/acq-1203.html

Afraimovich, Valentin; Hsu, Sze-Bi Lectures on chaotic dynamical systems Providence, RI, American Mathematical Society, 2003 (Studies in advanced mathematics. 28) Baird, P.; Wood, John C. Harmonic morphisms between riemannian manifolds Oxford; New York, NY, Clarendon Press; Oxford University Press, 2003 (London Mathematical Society monographs. New series. 29) Brin, Michael; Stuck, Garrett Introduction to dynamical systems Cambridge, GB; New York, NY; Port Melbourne, Cambridge University Press, 2002 Candel, Alberto; Conlon, Lawrence Foliations II Providence, RI, American Mathematical Society, 2003 (Graduate studies in mathematics. 60) Cordani, Bruno The Kepler problem. group theoretical aspects, regularization and quantization, with application to the study of perturbations Basel; Boston MA; Berlin, Birkhäuser Verlag, 2003 (Progress in mathematical physics. 29) Danilin, A.R.; Kalyakin, L.A.; Morina, S.I. Asymptotic expansions approximation theory topology.- Proceedings of the institute of mathematics and mechanics, ural branchch of the russian academy of sciences Moscow, Steklov Institute of Mathematics; Russian Academy of Sciences, 2003 (Proceedings of the Steklov institute of mathematics. Suppl.)

52. Kurt Godel Papers Dawson, John W., Logical Dilemmas The Life and Work of kurt Gödel, Wellesley, The Papers of kurt Gödel include documents spanning the years 19051980, http://libweb.princeton.edu/libraries/firestone/rbsc/aids/godel/

1905-1980, bulk 1930-1970 A Finding Aid Prepared by John W. Dawson, Jr. Revised by Rebecca Schoff and Barbara Volz Manuscripts Division Department of Rare Books and Special Collections Princeton University Library Introduction Biographical Sketch Scope and Contents Note Series Descriptions (with links to box/folder listings) ... Microfilm Prints from the 1980 National Science Foundation Microfilms Introduction Anleitung zur deutschen Redezeichenkunst oder Stenographie (1834) . Box 26 houses a microfilm copy of . . ., which could help users with the shorthand system. A photocopy of Karl Ludwig Weizmann's Lehr- und Ubungsbuch der Gabelsbergerschen Stenographie (1915) Biographical Sketch Privatdozent John W. Dawson, Jr. References Notre Dame Journal of Formal Logic , 24 (1983), 255-284; Addenda and corrigenda Notre Dame Journal of Formal Logic The Mathematical Intelligencer Dawson, John W., , Wellesley, Mass.: A. K. Peters, Ltd., 1997. Collected Works , edited by Solomon Feferman, editor-in-chief; prepared under the auspices of the Association for Symbolic Logic: Vol. I, "Publications 1929-1936," edited by Solomon Feferman, John W. Dawson, Jr., Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay, and Jean van Heijenoort, 1986; Vol. II, "Publications 1938-1974." edited by Soloman Feferman, John W. Dawson, Jr. [et al], 1990; Vol. III, "Unpublished Essays and Lectures: Selections from the Nachlass," edited by Solomon Feferman, John W. Dawson, Jr., [et al], New York and Oxford: Oxford University Press, 1994.

53. Kurt Gödel - Wikipedia, The Free Encyclopedia kurt Gödel was perhaps the greatest logician of the 20th century and one of thethree The kurt Gödel Society (founded in 1987) was named in his honor. http://en.wikipedia.org/wiki/Kurt_Gödel

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! Kurt G¶del From Wikipedia, the free encyclopedia. Kurt G¶del Kurt G¶del kurt g¸Ëdl April 28 January 14 ) was a logician, mathematician, and philosopher of mathematics. He was born in Br¼nn in Moravia Austria-Hungary (now Brno in the Czech Republic ), became a Czechoslovak citizen at age 12 when the Austro-Hungarian empire was broken up, and an Austrian citizen at age 23. When Hitler annexed Austria , G¶del automatically became a German citizen at age 32. After World War II , at the age of 42, he obtained US citizenship. G¶del's most famous works were his incompleteness theorems , the most famous of which states that any self-consistent recursive axiomatic system powerful enough to describe integer arithmetic will allow for "true" propositions about integers that can not be proven from the axioms. To prove this theorem, G¶del developed a technique now known as G¶del numbering , which codes formal expressions into arithmetic. He also produced celebrated work on the

54. Gödel, Kurt (1906-1978) -- From Eric Weisstein's World Of Scientific Biography Dawson, JW Jr. Logical Dilemmas The Life and Work of kurt Gödel. RodriguezConsuegra, FA kurt Gödel Unpublished Philosophical Essays. http://scienceworld.wolfram.com/biography/Goedel.html

Branch of Science Mathematicians Nationality American ... Austrian Austrian-American mathematician who proved that, if you begin with any sufficiently strong consistent system of axioms there will always be statements within the system governed by those axioms that can neither be proved or disproved on the basis of those axioms Hence, it in undecidable on the basis of those axioms whether the system contains paradoxes The formal statement of this fact is known as which states that if T is a set of axioms in a first-order language, and a statement p holds for any structure M satisfying T , then p can be formally deduced from T in some appropriately defined fashion. continuum hypothesis were added to conventional Zermelo-Fraenkel set theory However, using a technique called forcing Paul Cohen (1963, 1964) proved that no contradiction would arise if the negation of the continuum hypothesis was added to set theory set theory being used, and is therefore undecidable (assuming the Zermelo-Fraenkel axioms together with the axiom of choice Additional biographies: MacTutor (St. Andrews)

55. Kurt Gödel: Biography And Much More From Answers.com Gödel, kurt kurt Gödel Library of Congress b. Brünn, AustroHungary (Brno,Czechoslovakia), April 28, 1906, d. http://www.answers.com/topic/kurt-g-del

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Scientist Dictionary Encyclopedia Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Kurt G¶del Scientist G¶del, Kurt Kurt G¶del Library of Congress [b. Br¼nn, Austro-Hungary (Brno, Czechoslovakia), April 28, 1906, d. Princeton, New Jersey, January 14, 1978] Kurt G¶del as a young man was part of the important Vienna Circle of logicians. Although G¶del made many contributions to logic (including showing that every statement in the most basic form of logic can either be proved or disproved), and some to physics, his 1931 proof that any system that contains the arithmetic of natural numbers is either not complete or not consistent, known as G¶del's incompleteness theorem, is his most famous. When World War II started, G¶del and his wife emigrated to Princeton, where he had lectured in 1934. From 1935 to 1937 he proved that some important unproved hypotheses in logic were consistent with set theory, work later extended by Paul Cohen, who showed that taking the opposite of these hypotheses was also consistent with set theory. In the 1940s and 1950s, G¶del was close to Einstein and formulated a mathematical framework for Einstein's theories. Dictionary G¶Â·del gœd l Kurt Czech-born American mathematician and logician best known for his proof that the consistency of a mathematical system in which the truths of arithmetic can be expressed cannot be proven from within that system (1931).

56. Kurt Gödel Gödel, kurt, gö dul Pronunciation Key. Gödel, kurt , 1906–78, Americanmathematician and logician, b. Brünn (now Brno, Czech Republic), grad. http://www.factmonster.com/ce6/people/A0821103.html

Home U.S. People Word Wise ... Homework Center Fact Monster Favorites 2006 TFK Almanac Quiz: Charlie and the Chocolate Factory SpongeBob Lemony Snicket ... Fantasy Books Reference Desk Atlas Almanacs Dictionary Encyclopedia ... Encyclopedia u l] Pronunciation Key Foundations of Mathematics See H. Wang, (1987); E. Nagel et al., (rev. ed. 2001); R. Goldstein, (2005); P. Yourgrau, The Columbia Electronic Encyclopedia, Page Tools: Cite Print See more Encyclopedia articles on: Mathematics: Biographies AD AD AD ADS Business Cards Link to Fact Monster Add Fact Monster search ... Privacy Brought to you by: Information Please

57. Kurt GÖDEL GÖDEL kurt, (19061978). American mathematician, born in Austria. Gödel was aProfessor, at Vienna from 1930-1938 before moving to the United States in 1940 http://www.heartfield.pwp.blueyonder.co.uk/goedel.htm

GÖDEL Kurt, (1906-1978). American mathematician, born in Austria. Gödel was a Professor, at Vienna from 1930-1938 before moving to the United States in 1940. He was a member from 1938, and a professor from 1953-1976 at the Institute for Advanced Study, Princeton, N.J.. In 1931 he discovered Gödel's proof of the impossibility of rigorously self-consistent mathematical systems; Gödel wrote Consistency of the Axiom of Choice Analytic philsophy and the Vienna Circle

58. Kurt Gödel's Ontological Argument Paper by Chris Small about Gödel s proof of the existence of God. http://www.stats.uwaterloo.ca/~cgsmall/ontology.html

modal logic , a branch of logic that was familiar to the medieval scholastics, and axiomatized by C. I. Lewis (not to be confused with C. S. Lewis, or C. Day Lewis for that matter). It turns out that modal logic is not only a useful language in which to discuss God, it is also a useful language for proof theory , the study of what can and cannot be proved in mathematical systems of deduction. Issues of completeness of mathematical systems, the independence of axioms from other axioms, and issue of the consistency of formal mathematical systems are all part of proof theory. Talking about proof theory often feels like discourse about God: When you talk about God, you have to discuss issues like "if God created the Universe, then who created God?" In proof theory you have to discuss issues like "if a statement is true, then is it true that we can prove the statement?" There is a bit of a feeling that we are arguing by pulling ourselves up by our own bootstraps. In metaphysics, one discusses the possible existence of counterfactual worlds in which God does not exist. In proof theory, one examines the independence of an axiom by finding models in which the axiom fails. In metaphysics, one can speak of "modal collapse" in which any proposition which is true at all is necessarily true. In proof theory can can speak of "completeness" in which every statement which can be consistently added to the axiom system can be proved from the other axioms.

59. Gödel, Kurt Gödel, kurt,. Gödel also spelled GOEDEL (b. April 28, 1906, Brünn, AustriaHungaryd.Jan. 14, 1978, Princeton, NJ, US), Austrian-born US mathematician, http://www.phy.bg.ac.yu/web_projects/giants/goedel.html

Britannica CD Index Articles Dictionary Help vol. 38 (1931), on formally indeterminable propositions of the Principia Mathematica Principia Mathematica . Another well-known work is Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis with the Axioms of Set Theory (1940; rev. ed., 1958), which has become a classic of modern mathematics. Related Propaedia Topics: The 19th and 20th centuries: development of non-Euclidean geometry by Bolyai, Lobachevsky, and others; contributions to the theories of groups, functions, and complex variables; development of algebraic geometry; influence of physical science on analysis; study of the foundations of mathematics Show Index

60. Kurt Goedel Translate this page kurt Gödel (1906 - 1978). Der in Brünn (heute Brno) geborene und Logiker kurtGödel war von 1933 bis 1938 Privatdozent an der Universität Wien. http://www.philosophenlexikon.de/goedel.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Logiker Wiener Kreis an. , der nach ihm benannte sowie der Nachweis der relativen Widerspruchsfreiheit von Auswahlaxiom und Kontinuumshypothese Axiomen der Mengenlehre. intuitionistischen powered by Uwe Wiedemann

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 3     41-60 of 98    Back | 1  | 2  | 3  | 4  | 5  | Next 20