41. EpistemeLinks.com: Philosopher Results georg cantor. Born 3/3/1845 Died 1/6/1918. Link Pages. Site Title, Details. cantor,georg, Source Erratic Impact (PRB) Author Danne Polk. Search Directory Links. http://www.epistemelinks.com/Main/Philosophers.aspx?PhilCode=Cant

42. Cantor, Georg (1845-1918), Mathématicien Allemand Né En Russie, Fondateur De L Translate this page cantor, georg (1845-1918), mathématicien allemand né en Russie, fondateurde la théorie des ensembles. Il enseigna à l'université http://www.csaffluents.qc.ca/wjbm/matieres/oaim52/histoire/cantor.html

Cantor, Georg Voir Infini

43. CANTOR, Georg, Ueber Eine Eigenschaft Des Inbegriffes Aller Reellen Algebraische foundation of set theory. 'georg cantor (18451918) distinguishes thesizes of infinite sets, defining two such sets to have the same. http://www.polybiblio.com/watbooks/2376.html

'To sum up, we are not indebted to Cantor only for his initiative in developing a theory of transfinite sets. He proved the most important theorems of the new theory himself and laid the groundwork for the present-day definition of the concept... By his bold advance into the realm of the infinite, Cantor ignited twentieth-century research on the fundamentals' (DSB; see vol. III pp. 52-58, and Encyclopedia of philosophy vol. II, pp 20-22, for a detailed analysis of his work on set theory). Cantor's paper is dated 23 December 1873. Parkinson p 385"> W. P. Watson Antiquarian Books The Foundation of Set Theory CANTOR, Georg Ueber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen. [in:] Journal für die reine und angewandtle Mathematik... vol. 76, Berlin, Georg Reimer, 1874 4to (255 x 195 mm), pp 258-262, in the complete journal volume, bound with vols 76 and 78; some occasional slight spotting, a very good copy in contemorary half calf and marbled boards, rebacked. £2500 First edition of Cantor's epochal paper, the foundation of set theory. 'Georg Cantor (1845-1918) distinguishes the sizes of infinite sets, defining two such sets to have the same "power" if and only if their elements can be put into one-to-one correspondence... He then proceeds to prove that the set of all algebraic numbers has the same power as the set of natural numbers, that is, that it is "denumerable" or "countable," but the set of real numbers is not denumerable. He thereby shows that transcendental numbers not only exist but are nondenumerably infinite. Cantor's paper presenting this work, "Über eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen" (On a property of the collection of all real algebraic numbers), is considered the first formal publication on set theory' (Parkinson, Breakthroughs p. 385).

44. CANTOR, Georg, Mitteilungen Zur Lehre Von Transfiniten. cantor, georg Mitteilungen zur Lehre von Transfiniten. offprint from Zeitschriftfür Philosophie und philosophische Kritik, vol 91 Halle, Pfeffer, 1887. http://www.polybiblio.com/watbooks/945.html

W. P. Watson Antiquarian Books Set Theory CANTOR, Georg Mitteilungen zur Lehre von Transfiniten. [offprint from: Zeitschrift für Philosophie und philosophische Kritik, vol 91] Halle, Pfeffer, [1887] 8vo, pp 57 [1]; a good copy in original wrappers, old library stamp on upper cover. £350 First edition, an exposition of Cantor's theory of sets and the transfinite. Cantor, regarded as the founder of set theory, sets out a historical resumé of the field, and draws attention to both mathematical and philosophical implications of set theory. This item is listed on Bibliopoly by W. P. Watson Antiquarian Books ; click here for further details.

45. Cantor, Georg encyclopediaEncyclopedia cantor, georg, gA'ôrkh kän'tôr PronunciationKey. cantor, georg , 1845–1918, German mathematician, b. St. Petersburg. http://www.infoplease.com/ce6/people/A0810251.html

The # 1 wireless color security cam! Ultimate home movie ! Genuine Indian and Asian astrology reports and consultations by reputed Vedic Astrologers. Step-by-step guide to finding money for a growing business All Infoplease All Almanacs General Entertainment Sports Biographies Dictionary Encyclopedia Infoplease Home Almanacs Atlas Dictionary ... Fact Monster Kids' reference Info:Daily Fun facts Homework Center Newsletter You've got info! Help Site Map Visit related sites from: Family Education Network Encyclopedia Cantor, Georg [g A Pronunciation Key Cantor, Georg Cantor, Eddie cantor Search Infoplease Info search tips Search Biographies Bio search tips About Us Contact Us Link to Infoplease ... Privacy

46. Encyclopædia Britannica Now with a NEW 22nd volume! Visit Britannica Store, Encyclopædia Britannica,cantor, georg (Ferdinand Ludwig Philipp) Encyclopædia Britannica Article. http://www.britannica.com/eb/article?eu=20386

47. Cantor_Note gallery index. georg cantor. The founder of the set theory. Born inSt. Petersberg, Russia, and studied in Germany. His studies on http://www.bun.kyoto-u.ac.jp/phisci/Gallery/cantor_note.html

Georg Cantor The founder of the set theory. Born in St. Petersberg, Russia, and studied in Germany. His studies on the nature of "infinity" enabled us to treat this abstruse concept with mathematical precision. Cantor discovered an ingenious argument for proving that there are more real numbers than natural numbers (the cadinaliy is greater with the former than with the latter); since this argument makes use of a two dimensional table of infinie elements and the elements on the diagonal line (from left top to right bottom) are crucial, this is called "diagonal argument", and it became an indispensable method for logicians's proof. For instance, Goedel's incompleteness makes an essential use of it for cnstructing an "undecidable proposition". BACK TO CANTOR PICTURE BACK TO GALLERY INDEX Last modified March 27, 1999. (c) Soshichi Uchii suchii@bun.kyoto-u.ac.jp

48. ? Cantor, Georg ? cantor, georg (1845~1918). http://woosuk.woosuk.ac.kr/~mathedu/mathematics5/mathe080.htm

49. CANTOR, GEORG Biografía 1845, trasladándose su familia a Alemania en 1856. Comenzó http://canalsocial.net/biografia/biografiacontenido.asp?nom=CANTOR, GEORG

50. Georg Cantor Translate this page höheren Wert als es lösend angehalten werden School of Mathematics and Statistics,University of St Andrews, Scotland cantor, georg Mathematics Encyclopedia http://www.owlnet.rice.edu/~prash/cantor/

1845 - Geboren in St. Petersburg 1862 - begann Mathematik zu studieren 1869 - bekamm siene Habilitation 1879 - wird Professor 1884 - Anfall von Depression 1917 - betrat ein Sanatorium 1918 - Stirbt in Halle Das Wesen dr Mathematik liegt in ihrer Freiheit. School of Mathematics and Statistics, University of St Andrews, Scotland Cantor, Georg Mathematics Encyclopedia Georg Cantor ... Prashant Singh

51. Cantor, Georg - Ureda Translate this page http//www.ureda.de Suche in der Bibliothek. A B C D E F G H I J K L M N OP Q R S T U V W X Ü Y Z Ö cantor, georg, Siehe unter unendlich, unendlich. http://www.ureda.de/php/lexikon/680.html

Suche in der Bibliothek A B C D ... Z Cantor, Georg Siehe unter unendlich unendlich Impressum / Haftungshinweis K.-J. Durwen

52. Georg Cantor Note the following has been abstracted from the Grolier Encyclopedia. georgcantor. georg Ferdinand Ludwig Philipp cantor, b. Mar. 3, 1845, d. Jan. http://pratt.edu/~arch543p/help/Cantor.html

Note: the following has been abstracted from the Grolier Encyclopedia. Georg Cantor Georg Ferdinand Ludwig Philipp Cantor, b. Mar. 3, 1845, d. Jan. 6, 1918, was a Russian-born German mathematician best known as the creator of Set Theory and for his discovery of the transfinite numbers. He also advanced the study of trigonometric series, was the first to prove the nondenumerability of the real numbers, and made significant contributions to dimension theory. Cantor received his doctorate in 1867 and accepted a position at the University of Halle in 1869, where he remained. Closely related to Cantor's work in transfinite set theory was his definition of the continuum as a connected, perfect set. He never doubted the absolute truth of his work, but following the discovery of the paradoxes of set theory, he left the defense of transfinite set theory to younger mathematicians such as David Hilbert, Bertrand Russell, and Ernst Zermelo.

53. No. 1484: Georg Cantor No. 1484 georg cantor. by John H. Lienhard. (Theme music) Meschkowski,H., cantor, georg. Dictionary of Scientific Biography, Vol. http://www.uh.edu/engines/epi1484.htm

No. 1484: GEORG CANTOR by John H. Lienhard Click here for audio of Episode 1484. Today, we wonder about counting to infinity. The University of Houston's College of Engineering presents this series about the machines that make our civilization run, and the people whose ingenuity created them. W hen I was in grade school, Time magazine ran an article that snatched my imagination. Someone proposed a new number called the googol a one followed by a hundred zeros. Later I learned that it wouldn't help very much in counting real objects, because there aren't that many real objects in the whole universe even atoms. But still, we've all wondered where counting ends and infinity begins. And we have good reason for asking about infinity. Every engineering student soon learns that infinity is not just the end of numbers. If we ask how real systems behave when velocity, or time, or force becomes infinite if we ask about the character of infinity we get unexpected and profoundly useful answers. Georg Cantor also wondered about infinity. He was born in Russia in 1845. He wanted to become a violinist like his mother. But his father, a worldly merchant, wouldn't have it. When he was seventeen, his father died, and Cantor went on to finish a doctorate in mathematics, in Berlin. He was only twenty-two when he did.

54. Cantor cantor, georg Ferdinand Ludwig Philipp. (18451918). http://www.aldebaran.cz/famous/people/Cantor_Georg.html

Cantor, Georg Ferdinand Ludwig Philipp Nìmecký matematik, který vystavìl teorii nekoneèných množin. Párováním ukázal, že množina reálných èísel má vìtší mohutnost než množina racionálních èísel. Podle Cantora se nazývá v matematice množina s velmi zvláštními vlastnostmi - Cantorovo diskontinuum. V matematické logice se podle nìj nazývá Cantorova diagonální metoda, která patøí mezi nejhezèí dùkazy matematiky. Cantorovy, vìtšinou originální vize, byly neustále napadány jeho souputníky, pøedevším Kroneckerem . Cantor to dlouho nevydržel a nervovì se zhroutil. Posledních 33 let svého života trpìl a zemøel v ústavu pro mentálnì choré. Astrofyzika Galerie Sondy Úkazy ... Odkazy

55. Georg Cantor (1845-1918) georg cantor (18451918). The following Reihen (1872). Other relevantsites georg cantor - MacTutor History of Mathematics archive. http://www.maths.tcd.ie/pub/HistMath/People/Cantor/

Georg Cantor (1845-1918) The following paper of Georg Cantor is available here: Ueber die Ausdehnung eines Satzes aus der Theorie der trigonometrischen Reihen (1872). Other relevant sites: Georg Cantor - MacTutor History of Mathematics archive Back to: Mathematicians and Philosophers in the History of Mathematics archive The History of Mathematics David R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

56. `Ueber Die Ausdehnung...' By Georg Cantor `Ueber die Ausdehnung eines Satzes aus der Theorie der trigonometrischenReihen' by georg cantor. The following paper is available http://www.maths.tcd.ie/pub/HistMath/People/Cantor/Ausdehnung/

`Ueber die Ausdehnung eines Satzes aus der Theorie der trigonometrischen Reihen' by Georg Cantor The following paper is available: Cantor, G., Ueber die Ausdehnung eines Satzes aus der Theorie der trigonometrischen Reihen , Mathematische Annalen, vol. 5, pp. 123-132 (1872). The title of this paper may be translated into English as `On the generalization of a theorem from the theory of trigonometric series'. In this paper, Cantor introduces his well-known construction of the real number system in which each real number is represented as a Cauchy sequence of rational numbers. Two Cauchy sequences of rational numbers represent the same real number if and only if the difference of the two sequences converges to zero. Cantor uses this construction of the real number system in order to generalize a theorem he had earlier proved concerning the uniqueness of trigonometric series representations of functions on an interval. The paper is available, in German, in the following formats: TeX LaTeX DVI PDF ... PostScript Notes:- The TeX file should be compiled with a version of (Plain) TeX with German hyphenation patterns and german.sty

57. Startseite Des Georg-Cantor-Gymnasiums Translate this page georg-cantor-Gymnasium Gymnasium mit mathematisch-naturwissenschaftlichemSchwerpunkt Willkommen auf der Homepage des georg-cantor-Gymnasiums http://cantor-gymnasium.de/FrameDesign/

Georg-Cantor-Gymnasium Gymnasium mit mathematisch-naturwissenschaftlichem Schwerpunkt Willkommen auf der Homepage des Georg-Cantor-Gymnasiums Unser Schulgebäude Halles berühmter Mathematiker Georg-Cantor-Gymnasium Halle Muldestraße 3 06122 Halle tel.: (0345) 6903156 fax : (0345) 6903157 email: schulleitung@cantor-gymnasium.de Wir sind ein Gymnasium für mathematisch-naturwissenschaftlich interessierte und begabte Schülerinnen und Schüler.

58. Georg Cantor: A Genius Out Of Time :: Essays And Term Papers georg cantor A Genius Out of Time. A review of the life and work of the mathematiciangeorg cantor. Paper 8576. of words 2,755. of sources 4. Format MLA. http://www.academon.com/lib/paper/8576.html

Free Summary of Paper #8576 Please use the links below if you came to this page directly from a search engine or another site: BUY THIS TERM PAPER LOOK FOR MORE RESEARCH PAPERS, ESSAYS AND BOOK REPORTS Georg Cantor: A Genius Out of Time A review of the life and work of the mathematician Georg Cantor. Term Paper #: # of words: # of sources: Format (MLA/APA): MLA Written: Price: Hide: Author: Kirsten Davies Abstract This paper is a biographical description of the work of Georg Cantor and his work in the development of set theory. In his time, these hypotheses were considered greatly controversial by other mathematicians. However, now they are an integral part of the study of mathematics. From The Paper "Georg attended several private schools in Frankfurt, and in 1859, entered the distinguished Grossherzoglich Hessiche Provinzialrealschule in Darmstadt. He left this institution in 1860 with high recommendations in mathematics. His father discouraged the study of math due to the fact that he wished him to become an engineer, a job that paid considerably more than mathematics. He originally attended Grossherzogliche Hoehere Gewerbeschule (Grand-Ducal Higher Polytechnic, later changed to Technische Hochschule) at Darmstadt following his father’s wishes and studying Engineering. Later, when Georg convinced his father that his heart was truly in math, his father relented and he began the study of Mathematics in 1862 (Johnson, 1997). " Keywords SET THEORY MATHEMATICS ELEMENTS HYPOTHESIS MENTAL ILLNESS Related Searches

59. PHONE-SOFT INTERNET-VERZEICHNIS DEUTSCHLAND:CANTOR, GEORG cantor; georg cantor; georg cantor; georg cantor; 2000 Jahre Chronik * Bilddatenbank; http://www.phone-soft.de/cyber-world/o5585d.htm

TOP-LINK UP-LINK DISCUSSION SEARCH ... HELP CANTOR, GEORG www.neuverlieben.com - Lerne Deinen Traumpartner kennen Cantor Galerie: Cantor Georg Cantor ... philosophenlexikon.de - Georg Cantor GLEICHE KATEGORIE: INTERNATIONAL

60. Cantor-Vereinigung Halle Translate this page abgesteckt In der Tradition von mathematischer Forschung und Lehre an der UniversitätHalle stehend, deren berühmtester Vertreter georg cantor war, geht es http://www.mathematik.uni-halle.de/~cantorev/

G EORG - C ANTOR - V EREINIGUNG Homepage Anschrift, Telefon, ... Aktuelles Vorstand Dokumente ... Aufnahmeantrag Herzlich Willkommen auf der Homepage unserer Vereinigung! Fachbereichs , durch Studenten und Absolventen. Georg Cantor in einem Brief von 7.2.1869 an seine Schwester Sophie: "Ich sehe ... immer mehr ein, wie sehr mir ... Mathematik ans Herz gewachsen ist ... . Das Arbeiten ist und bleibt für mich der eigentliche Kern meines Lebens, und meine Wünsche erstrecken sich nur so weit, daß ich mich ... stets in solchen Lagen befinden möchte, wo ich ungehemmt diesen Beschäftigungen nachgehen und durch sie einem Kreise der menschlichen Gesellschaft nützlich werden kann." Georg Cantor, Aufnahme um 1902 geb. in St. Petersburg "De aequationibus secundi gradus indeterminatis" "De transformatione formarum ternarium quadricarum" Tod in Halle Virtuellen Museum des Fachbereiches. Wer etwa die Exponate der historischen Sammlung mathematischer Modelle des Fachbereichs anschaut , entdeckt auf vielen von ihnen ein kleines Messingschild: " ". Die Unterstützung bei der Bereitstellung dieser Modelle, die in den ersten Jahrzehnten dieses Jahrhunderts sowohl in den Lehrveranstaltungen als auch direkt in der mathematischen Forschung genutzt wurden, darf wohl noch heute als bedeutsame Hilfe der Freunde der Universität eingeschätzt werden. Es lohnt sich, die Modellsammlung mit Muße anzuschauen!

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