41. Biographie Cantor Biographie et apports du math©maticien allemand. http://mathematiques.ac-bordeaux.fr/viemaths/hist/mthacc/cantor.htm

Georg CANTOR (1845 - 1918) , pour sa , et sa . La occupe une place remarquable au sein des mathématiques, puisqu'elle en constitue le langage et la fondation. On ne peut pas faire des mathématiques sans parler d'ensemble, d'éléments, d'appplications et de bijections. Et la théorie des ensembles intervient encore dans l'enseignement secondaire, même si cela est de façon beaucoup moins systématique que dans les programmes d'il y a trente ans. " ", disait David Hilbert Euclide Cauchy Analyse Cantor Mais il fallait que les mathématiciens descendent encore plus bas dans les fondations, et répondent à la question : "Que sont nos objets mathématiques ?". C'est l'objet de la Richard Dedekind , qui peuvent former des ensembles , s'ils "sont considérés comme rassemblés sous un même point de vue". Il définit l' de deux ensembles, leur intersection N que dans N x N , dans N que dans Q , dans N que dans R dans R que dans R x R Cardinaux Infinis cardinal N et R Infini Actuel . On pourra aussi se reporter au Chapitre VI, par Pierre Dugnac, de l'

42. Georg Cantor Et La Découverte Des Infinis M©moire de ma®trise en philosophie de Cl©ment Vidal. http://philosophons.free.fr/clement[2003].pdf

43. Encyclopaedia Britannica Entry cantor, georg (Ferdinand Ludwig Philipp). Born March 3, 1845, St. Petersburg,Russia Died Jan. 6, 1918, Halle, Ger. German mathematician who founded set http://www.aam314.vzz.net/EB/Cantor.html

Cantor, Georg (Ferdinand Ludwig Philipp) Born: March 3, 1845, St. Petersburg, Russia Died: Jan. 6, 1918, Halle, Ger. German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another. Early life and training Cantor's parents were Danish. His artistic mother, a Roman Catholic, came from a family of musicians, and his father, a Protestant, was a prosperous merchant. When his father became ill in 1856, the family moved to Frankfurt. Cantor's mathematical talents emerged prior to his 15th birthday while studying in private schools and at gymnasien at Darmstadt first and then at Wiesbaden; eventually, he overcame the objections of his father, who wanted him to become an engineer. After briefly attending the University of ZŸrich, Cantor in 1863 transferred to the University of Berlin to specialize in physics, philosophy, and mathematics. There he was taught by the mathematicians Karl Theodor Weierstrass, whose specialization of analysis probably had the greatest influence on him; Ernst Eduard Kummer, in higher arithmetic; and Leopold Kronecker, a specialist on the theory of numbers who later opposed him. Following one semester at the University of Gšttingen in 1866, Cantor wrote his doctoral thesis in 1867, In re mathematica ars propendi pluris facienda est quam solvendi ("In mathematics the art of asking questions is more valuable than solving problems"), on a question that Carl Friedrich Gauss (q.v.) had left unsettled in his

44. Georg Cantor Page georg cantor History of mathematics. Changing LINKS My georg cantor paperfor a grade in Math 461(Now almost completeupdated on May 2, 2002) http://www.geocities.com/CollegePark/Union/3461/cantor.htm

Georg Cantor(1845-1918) History of Mathematics Changing LINKS My Georg Cantor paper for a grade in Math 461 (Now almost completeupdated on May 2, 2002) Born: March 3, 1845 in St Petersburg, Russia Died: January 6, 1918 in Halle, Germany Full Name is: Georg Ferdinand Ludwig Philipp Cantor Georg was educated early in his life by private tutoring He went to primary school while in St. Petersburgh, Russia. In 1856 his family moved to Germany for a warmer climate, due to his father's poor health Cantor's father wanted him to be an Engineer, but Georg was interested in Mathematics In 1873 Cantor proved the rational numbers are countable,they can be put into a 1-1 correspondence with the natural numbers. He showed that the algebraic numbers, the numbers which are roots of polynomial equations with integer coefficients, were countable. Cantor is famous for proving that the real numbers are not countable. A transcendental number is an irrational number that is not a root of any polynomial equation having integer coefficients. Cantor showed that almost all numbers are transcendental by proving the real numbers were not countable while proving that the algebraic numbers were countable.

45. EpistemeLinks.com: Website Results For Philosopher Georg Cantor General website search results for georg cantor including brief biographies, linkresources, and more. Provided by EpistemeLinks.com. http://www.epistemelinks.com/Main/Philosophers.aspx?PhilCode=Cant

46. Georg Cantor cantor, georg, ga ôrkh kän tôr Pronunciation Key. cantor, georg , 1845–1918,German mathematician, b. St. Petersburg. He studied under Karl Weierstrass http://www.factmonster.com/ce6/people/A0810251.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 Cantor, Georg Pronunciation Key Cantor, Georg The Columbia Electronic Encyclopedia, Page Tools: Cite Print More on Georg Cantor from Fact Monster: infinity transfinite number - transfinite number, cardinal or ordinal number designating the magnitude (power) or order of an ... mathematics: Branches of Mathematics - Branches of Mathematics Foundations The term foundations is used to refer to the formulation and ... mathematics: Development of Mathematics - Development of Mathematics The earliest records of mathematics show it arising in response to ... 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

47. Cantor, Georg - Famous Mathematicians Pictures, Posters, Gifts Items, Note Cards Famous mathematician pictures, mathematicians pictures, mathematician gifts,georg cantor, infinity, cantor set, aleph, cantor dust, transfinite numbers, http://www.mathematicianspictures.com/Mathematicians/Cantor.htm

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48. Cantor, Georg. The Columbia Encyclopedia, Sixth Edition. 2001-05 cantor, georg. The Columbia Encyclopedia, Sixth Edition. 200105. http://www.bartleby.com/65/ca/Cantor-G.html

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49. Georg Cantor cantor, georg Ferdinand Ludwig Philipp (The Hutchinson Encyclopedia). cantor,georg (The Columbia Encyclopedia, Sixth Edition) http://www.infoplease.com/ce6/people/A0810251.html

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50. Cantor, Georg --  Britannica Student Encyclopedia cantor, georg (1845–1918). The German mathematician georg cantor founded thetheory of sets and introduced the concept of transfinite numbers. http://www.britannica.com/ebi/article-9273495

Home Browse Newsletters Store ... Subscribe Already a member? Log in This Article's Table of Contents Georg Cantor Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Cantor, Georg  Student Encyclopedia Article Page 1 of 1 Georg Cantor see mathematics Cantor, Georg... (75 of 244 words) var mm = [["Jan.","January"],["Feb.","February"],["Mar.","March"],["Apr.","April"],["May","May"],["June","June"],["July","July"],["Aug.","August"],["Sept.","September"],["Oct.","October"],["Nov.","November"],["Dec.","December"]]; To cite this page: MLA style: "Cantor, Georg." Britannica Student Encyclopedia http://www.britannica.com/ebi/article-9273495

51. Cantor, Georg --  Encyclopædia Britannica cantor, georg German mathematician who founded set theory and introduced themathematically meaningful concept of transfinite numbers, indefinitely large http://www.britannica.com/eb/article-9020082

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Introduction Early life and training Transfinite numbers Additional Reading Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Cantor, Georg (Ferdinand Ludwig Philipp)  Encyclopædia Britannica Article Page 1 of 4 Georg Cantor born March 3, 1845, St. Petersburg, Russia died Jan. 6, 1918, Halle, Ger. German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another. Cantor, Georg...

52. Cantor, Georg Glossary of Religion and Philosophy Short Biography of georg cantor. http://atheism.about.com/library/glossary/general/bldef_cantorgeorg.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About Agnosticism / Atheism Atheism Essentials ... Help zau(256,140,140,'el','http://z.about.com/0/ip/417/C.htm','');w(xb+xb+' ');zau(256,140,140,'von','http://z.about.com/0/ip/496/6.htm','');w(xb+xb); FREE Newsletter Sign Up Now for the Agnosticism / Atheism newsletter! See Online Courses Search Agnosticism / Atheism Georg Cantor Back to Last Page Glossary Index Related Terms Hermeneutics Name: Georg Cantor Georg Ferdinand Ludwig Philipp Cantor Dates: Born: March 3, 1845 in St. Petersburg, Russia Died: January 6, 1918 in Halle, German Specialization Mathematics Philosophy of Mathematics Major Works Contributions to the Founding of the Theory of Transfinite Numbers Biography: Georg Cantor was a German mathematician whose primary contribution to both mathematics and logic lies in the sphere of set theory. Indeed, Cantor is the one person who is perhaps most responsible for the development of modern set theory, allowing it to play such a signficant role in mathematics and logic today. Cantor also discovered some of the first paradoxes in set theory. One, often called "Cantor's paradox," is that every set actually has more subsets than it does members . The consequence of this is theat there can be no "set of all sets." Quotes In mathematics the art of proposing a question must be held of higher value than solving it.

53. Cantor, Georg Ferdinand Ludwig Philipp (1845-1918) cantor, georg Ferdinand Ludwig Philipp (18451918) cantor was 11 when hisfamily moved from St. Petersburg to Germany. Despite attempts to push him into http://www.daviddarling.info/encyclopedia/C/Cantor.html

Return to The Worlds of David Darling INDEX LATEST NEWS ARCHIVE ... Z entire Web this site Cantor, Georg Ferdinand Ludwig Philipp (1845-1918) A Russian-born German mathematician who founded set theory and introduced the concept of transfinite numbers . His shocking and counterintuitive ideas about infinity drew widespread criticism before being accepted as a cornerstone of modern mathematical theory. Cantor was 11 when his family moved from St. Petersburg to Germany. Despite attempts to push him into the more lucrative field of engineering, he eventually won his father’s approval to study math at the Polytechnic of Zurich. The following year, 1863, his father died and Cantor switched to the University of Berlin where he studied under some of the greats of the day, including Karl Weierstrass and Leopold Kronecker function is continuous (in other words, its graph is smooth) throughout an interval, it can be represented by a unique trigonometric series. This work, suggested to him by a colleague, Heinrich Heine, was crucial because it led Cantor to think about the relations between points, represented by

54. MSN Encarta - Georg Cantor cantor, georg (18451918), German mathematician, born in Saint Petersburg.He taught at the University georg Ferdinand Ludwig Philipp cantor MacTutor http://encarta.msn.com/encyclopedia_761575007/Georg_Cantor.html

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56. Georg Cantor (1845-1918) cantor, georg (18451918) cantor set and function Dauben, JW georg cantorHis Mathematics and Philosophy of the Infinite. http://homepages.which.net/~gk.sherman/eaaaaabb.htm

author home author list Georg Cantor (1845-1918) Bibliography: Links... Translations between biology and sociology - formalism: a linking theme between mathematics, computation, and cultural theory History of Mathematics Sociological approaches to ecological uncertainty Cantor's Paradox Links to other sites... Cantor The Cantor Set Cantor, Georg (1845-1918) Cantor cubes and profinite groups ... Dauben, J.W.: Georg Cantor: His Mathematics and Philosophy of the Infinite. Created 1/6/99 Modified 5/7/99

57. Glossary Of People: Ca cantor, georg (1845 1918). German mathematician who founded modern Set Theoryand introduced the concept of transfinite numbers, indefinitely large but http://www.marxists.org/glossary/people/c/a.htm

MIA Encyclopedia of Marxism : Glossary of People Ca French utopian, author of Voyage en Icarie See: including excerpts from Voyage en Icarie Cabral, Amilcar (1924-1973) In the early 1950s, Cabral was employed as an Agronomist. Using this position, he went to every village in the entire country and from this direct observation, he came up with an analysis and strategy for the national liberation movement. With others, he founded the PAIGC in 1956, and in 1963 their full-blown military campaign to overthrown Portuguese colonialism began. Within two years they had extensive liberated zones where effectively they were in power. On 20 January 1973, just months before the victory of the national liberation struggle, Cabral was assassinated with the help of Portuguese agents operating within the PAIGC. See: The Weapon of Theory , by Amilcar Cabral, 1966 Cafiero, Carlo (1846-1892) Italian Anarchist, published a condensed version of Capital in Italian. Cannon, James P. (1890-1974) US Socialist Workers Party Further Reading: James Cannon Archive Cantor, Georg (1845 - 1918)

58. Cantor, Georg cantor, georg (18451918) cantor was born in St Petersburg, Russia, but wentto school in Germany and attended the universities of Zürich and Berlin. http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/C/Cantor/1.html

Cantor, Georg German mathematician who followed his work on number theory and trigonometry by considering the foundations of mathematics. He defined real numbers and produced a treatment of irrational numbers using a series of transfinite numbers. Cantor's set theory has been used in the development of topology and real function theory. Investigating sets of the points of convergence of the Fourier series (which enables functions to be represented by trigonometric series), Cantor derived the theory of sets that is the basis of modern mathematical analysis. His work contains many definitions and theorems in topology. For the theory of sets, he had to arrive at a definition of infinity, and also therefore consider the transfinite; for this he used the ancient term 'continuum'. He showed that within the infinite there are countable sets and there are sets having the power of a continuum, and proved that for every set there is another set of a higher power. Cantor considered metaphysics and astrology to be a science into which mathematics, and especially set theory, could be integrated.

59. Anecdote - Georg Cantor - Georg Cantor In Space Anecdotes, Famous People. Funny Stories. Anecdotes from Gates to Yeats. http://www.anecdotage.com/index.php?aid=15836

60. Anecdote - Georg Cantor - Infinite Wisdom (long) Anecdotes, Famous People. Funny Stories. Anecdotes from Gates to Yeats. http://www.anecdotage.com/index.php?aid=15410

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