21. APPUNTI TESINE Translate this page ja·?slGeorg Ferdinand Cantor svGeorg cantor georg CantorGeorg Ferdinand Ludwig Philipp Cantor (3 marzo, 1845 - 6 gennaio, 1918), http://www.matura.it/enciclopedia/georg_cantor.htm

22. Georg Cantor - Definition Of Georg Cantor In Encyclopedia Georg Ferdinand Ludwig Philipp Cantor (March 3, 1845 – January 6, 1918) was amathematician who was born in Russia and lived in Germany for most of his life http://encyclopedia.laborlawtalk.com/Georg_Cantor

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law Georg Ferdinand Ludwig Philipp Cantor March 3 January 6 ) was a mathematician who was born in Russia and lived in Germany for most of his life. He is best known as the creator of modern set theory . He is recognized by mathematicians for having extended set theory to the concept of transfinite numbers , including the cardinal and ordinal number classes. Cantor is also known for his work on the unique representations of functions by means of trigonometric series (a generalized version of a Fourier series He was born in Saint Petersburg Russia , the son of a Danish merchant, Georg Waldemar Cantor, and a Russian musician, Maria Anna Böhm. In the family moved to Germany and he continued his education in German schools, earning his doctorate from the University of Berlin in Cantor recognized that infinite sets can have different sizes, distinguished between countable and uncountable sets and proved that the set of all rational numbers Q is countable while the set of all real numbers R is uncountable and hence strictly bigger. The original proof of this, devised in December 1873 and published in early 1874, used a moderately complicated reduction argument in which one starts with a countable list of real numbers and an interval on the real line. Then, one takes the first two elements from the list that are in the interval, and forms an interval from that. Exhausting onward, we find that there exists an element that is not in the list. His later 1891 proof uses his celebrated

23. CANTOR George Translate this page Ya en la escuela Cantor mostró talento por las matemáticas, En 1874 Cantorempezó a introducir conceptos extraños de lo infinito, estableciendo que para http://almez.pntic.mec.es/~agos0000/Cantor.html

CANTOR George (1845-1918)

24. Georg Cantor - Wikipedia, The Free Encyclopedia Georg Cantor. Georg Ferdinand Ludwig Philipp Cantor (March 3, 1845 – January 6,1918) was a mathematician who was born in Russia and lived in Germany for http://en.wikipedia.org/wiki/Georg_Cantor

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$145,000 has been donated since the drive began on 19 August. Thank you for your generosity! Georg Cantor From Wikipedia, the free encyclopedia. Georg Cantor Georg Ferdinand Ludwig Philipp Cantor March 3 January 6 ) was a mathematician who was born in Russia and lived in Germany for most of his life. He is best known as the creator of modern set theory . He is recognized by mathematicians for having extended set theory to the concept of transfinite numbers , including the cardinal and ordinal number classes. Cantor is also known for his work on the unique representations of functions by means of trigonometric series (a generalized version of a Fourier series Cantor's innovative mathematics faced significant resistance, especially by Leopold Kronecker Hermann Weyl L.E.J. Brouwer Henri Poincar© and Ludwig Wittgenstein . The hostile attitude of many contemporaries is believed to have severely aggravated Cantor's emotional ailments and to have caused several nervous breakdowns Today, the vast majority of mathematicians accept Cantor's work on transfinite sets and recognize it as a

25. Georg Cantor - Wikipedio Cantor, Georg Ferdinand Ludwig Philip (18451918). Germana matematikisto qua esispioniro dil teorio di infinita ensembli (videz ensemblo-teorio). http://io.wikipedia.org/wiki/Georg_Cantor

Georg Cantor From Wikipedia Cantor, Georg Ferdinand Ludwig Philip Germana matematikisto qua esis pioniro dil teorio di infinita ensembli (videz ensemblo-teorio Obtenita de " http://io.wikipedia.org/wiki/Georg_Cantor Kategorii di pagini Matematikisti Views Artiklo Debato Editar Versionaro Personala utensili Enirar Navigado Frontispico Komuneso-portalo Aktualeso Recenta chanji ... Donacaji Serchar Utensili Quo ligas hike ? Relatata chanji Adkargar arkivo Specala pagini ... Permanent link Altra lingui Česky Dansk Deutsch English ... Svenska La lasta chanjo di ca pagino esis ye 15:26, 16 August 2005. La kontenajo esas disponebla sub GNU Free Documentation License About Wikipedia Legala averto

26. GEORG CANTOR FACTS AND INFORMATION Georg Cantor facts and information. Georg Ferdinand Ludwig Philipp Cantor (March_3,1845 – January_6, 1918) was a mathematician who was born in Russia and http://www.witwib.com/Georg_Cantor

GEORG CANTOR Georg Cantor facts and information Georg Ferdinand Ludwig Philipp Cantor ) was a mathematician who was born in Russia and lived in Germany for most of his life. He is best known as the creator of modern . He is recognized by mathematicians for having extended set theory to the concept of transfinite numbers , including the cardinal and ordinal number classes. Cantor is also known for his work on the unique representations of functions by means of trigonometric series (a generalized version of a Cantor's innovative mathematics faced significant resistance, especially by L.E.J._Brouwer and . The hostile attitude of many contemporaries is believed to have severely aggravated Cantor's emotional ailments and to have caused several s. Today, the vast majority of mathematicians accept Cantor's work on transfinite sets and recognize it as a of major importance. In the words of : "No one shall expel us from the Paradise that Cantor has created." Biography Cantor was born in Saint Petersburg Russia , the son of a Danish merchant, Georg Waldemar Cantor, and a Russian musician, Maria Anna B¶hm. In the family moved to Germany and he continued his education in German schools, earning his doctorate from the University of Berlin in

27. Georg Cantor Translate this page Encyclopedia Georg Cantor. thumb right 160px Georg cantor georg FerdinandLudwig Philipp Cantor (San Pietroburgo, 3 marzo 1845 - Halle, Germania, http://encyclopedie-it.snyke.com/articles/georg_cantor.html

Georg Cantor Georg Ferdinand Ludwig Philipp Cantor (San Pietroburgo, 3 marzo - Halle, Germania 6 gennaio matematico tedesco, ¨ il padre della moderna teoria degli insiemi . Cantor ha allargato la teoria degli insiemi fino a comprendere al suo interno i concetti di numeri transfiniti, numeri cardinali e ordinali. Cantor nacque a San Pietroburgo, figlio di George Waldemar Cantor, un mercante danese , e di Maria Anna B¶hm, una musicista russa. Nel la famiglia si trasfer¬ in Germania e Georg continu² la sua educazione presso le scuole tedesche, conseguendo il dottorato presso l'Universit  di Berlino nel Cantor riconobbe che gli insiemi infiniti possono avere differenti estensioni, separ² gli insiemi in numerabili e pi¹ che numerabili e prov² che l'insieme di tutti i numeri razionali Q ¨ numerabile mentre l'insieme di tutti i numeri reali R ¨ pi¹ che numerabile, dimostrando in questo modo che esistono almeno due ordini di infinit . Egli invent² anche il simbolo che oggi viene usato per indicare i numeri reali. Il metodo di cui si serv¬ per condurre le sue dimostrazioni ¨ noto come metodo della diagonale di Cantor. In seguito, cerc² invano di dimostrare l' ipotesi del continuo Durante la seconda met  della sua vita soffri di attacchi di depressione , che compromisero seriamente la sua abilit  di matematico e lo constrinsero a ripetuti ricoveri. La scoperta del

28. Encyclopedia: Georg Cantor Georg Cantor Cantor died in 1918; therefore, all photographs of him are in thepublic Cantors diagonal argument is a proof devised by Georg Cantor to http://www.nationmaster.com/encyclopedia/Georg-Cantor

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Georg Cantor" also viewed: Cantor set Aleph one George Cantor Transfinite number ... Axiomatic set theory What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Zippo Y XML editor Wrestling at the 1980 Summer Olympics ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Georg Cantor Updated 10 days 7 hours 21 minutes ago. Other descriptions of Georg Cantor Georg Cantor Georg Ferdinand Ludwig Philipp Cantor March 3 January 6 ) was a mathematician who was born in Russia and lived in Germany for most of his life. He is best known as the creator of modern set theory . He is recognized by mathematicians for having extended set theory to the concept of transfinite numbers , including the cardinal and ordinal number classes. Cantor is also known for his work on the unique representations of functions by means of trigonometric series (a generalized version of a Fourier series Georg Cantor Cantor died in 1918; therefore, all photographs of him are in the public domain. ... Georg Cantor Cantor died in 1918; therefore, all photographs of him are in the public domain. ...

29. 10.5. Cantor, Georg (1845-1918) georg cantor put forth the modern theory on infinite sets that In 1862, georgcantor entered the University of Zurich only to transfer the next year to http://www.shu.edu/projects/reals/history/cantor.html

10.5. Cantor, Georg (1845-1918) IRA Georg Cantor put forth the modern theory on infinite sets that revolutionized almost every mathematics field. However, his new ideas also created many dissenters and made him one of the most assailed mathematicians in history. Georg Ferdinand Ludwig Philipp Cantor was born in St. Petersburg, Russia, on March 3, 1845. Georg's background was very diverse. His father was a Danish Jewish merchant that had converted to Protestantism while his mother was a Danish Roman Catholic. The family stayed in Russia for eleven years until the father's ailing health forced them to move to the more acceptable environment of Frankfurt, Germany, the country Georg would call home for the rest of his life. All the Cantor children displayed an early artistic talent with Georg excelling in mathematics. His father, the eternal pragmatic, saw this gift and tried to push his son into the more profitable but less challenging field of engineering. In one of his letters, he pressed upon his son that his entire family and God Himself were expecting him to become a "shining star" as an engineer. Georg was not at all happy about this idea but he lacked the assertiveness to stand up to his father and relented. However, after several years of training, he became so fed up with the idea that he mustered up the courage to beg his father to become a mathematician. Finally, just before entering college, his father let Georg study mathematics. The son accepted his decision with the same submission that he had before, thanking his father for the fact that he would not "displease him."

30. Georg Cantor Complete bibliography of cantor's writings. http://www.dean.usma.edu/math/people/rickey/hm/cantor.htm

Georg Cantor (1845-1918) This is intended to be a complete list of the publications of Georg Cantor as well as translations of those works. It is followed by works which contain his correspondence and by a list of some of the most valuable English language historical books and papers dealing with Cantor and his work. Corrections and suggestions would be most welcome. Send email to fred-rickey@usma.edu De aequationibus secundi gradus indeterminatis. Diss. Phil. Berlin 1867. = Gesammelte Abhandlungen, Über einfache Zahlensysteme. Zeitschrift für Math. und Physik 14(1869), 121-128. = Gesammelte Abhandlungen, De transformatione formarum ternarium quadricarum. Habilitationsschrift Halle 1869. = Gesammelte Abhandlungen, Über einen die trigonometrischen Reihen betreffenden Lehrsatz. Journal f. reine und angew. Math. 72(1870), 130-138. = Gesammelte Abhandlungen, Beweis, daß eine für jeden reellen Wert von x durch eine trigonometrische Reihe gegebene Funktion f(x) sich nur auf eine einzige Weise in dieser Form darstellen läßt. Journal f. reine und angew. Math. 72(1870), 139-142.

31. Georg-Cantor-Gymnasium Halle - CantorNetwork - Aktuelles Kommunikationsplattform f¼r Sch¼ler, Ehemalige, Lehrer und andere Personen, die sich mit der Schule verbunden f¼hlen. http://www.cantor-netzwerk.de/

Benutzername: Passwort [ vergessen? Georg-Cantor-Gymnasium forksoft.de Forum ... Registrierung CantorNetwork - Aktuelles Registrierte Mitglieder: Neuestes Mitglied: Matzethias news news news Geburtstagsgrüße Wir gratulieren heute aba_hachi zum Geburtstag und wünschen dem Geburtstagskind viel Glück im weiteren Leben! katrin hat heute Geburtstag! Alles Gute und viel Spass heute!!! KINGofDEATH hat heute Geburtstag! Alles Gute und viel Spass heute!!! Unser heutiges Geburtstagskind heißt Benni! Wir wünschen dir alles Gute und viel Glück im neuen Lebensjahr. And the winner is..... Hallo, die Abstimmung über das zukünftige Logo des Cantor-Netzwerkes ist abgeschlossen. Morpheus' Vorschlag konnte die überwältigende Mehrheit der abgegebenen Stimmen auf sich vereinigen. Somit wird morpheus in nächster Zeit einen Büchergutschein im Wert von 50 € erhalten und das Logo wird auf der Startseite integriert werden. Das Netzwerk-Team bedankt sich bei allen, die Vorschläge unterbreitet haben und ebenfalls bei allen Abstimmenden. Unsere Glückwünsche gehen an morpheus, dessen Idee sich durchsetzen konnte. Bis demnächst...

32. Cantor Biography of georg cantor (18451918) georg cantor s father, georg Waldemarcantor, was a successful merchant, working as a wholesaling agent in St http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Cantor.html

Georg Ferdinand Ludwig Philipp Cantor Born: 3 March 1845 in St Petersburg, Russia Died: 6 Jan 1918 in Halle, Germany Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Georg Cantor After early education at home from a private tutor, Cantor attended primary school in St Petersburg, then in 1856 when he was eleven years old the family moved to Germany. However, Cantor [21]:- ... remembered his early years in Russia with great nostalgia and never felt at ease in Germany, although he lived there for the rest of his life and seemingly never wrote in the Russian language, which he must have known. Cantor's father had poor health and the move to Germany was to find a warmer climate than the harsh winters of St Petersburg. At first they lived in Wiesbaden, where Cantor attended the Gymnasium ... a shining star in the engineering firmament. However, in 1862 Cantor had sought his father's permission to study mathematics at university and he was overjoyed when eventually his father consented. His studies at Zurich, however, were cut short by the death of his father in June 1863. Cantor moved to the University of Berlin where he became friends with Hermann Schwarz who was a fellow student. Cantor attended lectures by

33. Cantor Biography of georg cantor (18451918) from the MacTutor History of Mathematics Archive. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Cantor.html

Georg Ferdinand Ludwig Philipp Cantor Born: 3 March 1845 in St Petersburg, Russia Died: 6 Jan 1918 in Halle, Germany Click the picture above to see four larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Georg Cantor After early education at home from a private tutor, Cantor attended primary school in St Petersburg, then in 1856 when he was eleven years old the family moved to Germany. However, Cantor [21]:- ... remembered his early years in Russia with great nostalgia and never felt at ease in Germany, although he lived there for the rest of his life and seemingly never wrote in the Russian language, which he must have known. Cantor's father had poor health and the move to Germany was to find a warmer climate than the harsh winters of St Petersburg. At first they lived in Wiesbaden, where Cantor attended the Gymnasium ... a shining star in the engineering firmament. However, in 1862 Cantor had sought his father's permission to study mathematics at university and he was overjoyed when eventually his father consented. His studies at Zurich, however, were cut short by the death of his father in June 1863. Cantor moved to the University of Berlin where he became friends with Hermann Schwarz who was a fellow student. Cantor attended lectures by

34. Cantor Portraits Portraits of georg cantor. The URL of this page is, © Copyright information.http//wwwhistory.mcs.st-andrews.ac.uk/history/PictDisplay/cantor.html. http://www-groups.dcs.st-and.ac.uk/~history/PictDisplay/Cantor.html

Georg Cantor JOC/EFR August 2005 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Cantor.html

35. Cantor, Georg (1845-1918) -- From Eric Weisstein's World Of Scientific Biography Dauben, JW georg cantor His Mathematics and Philosophy of the Infinite. Princeton,NJ Princeton University Press, 1990. © Eric W. Weisstein http://scienceworld.wolfram.com/biography/CantorGeorg.html

Branch of Science Mathematicians Nationality German Cantor, Georg (1845-1918) German mathematician who built a hierarchy of infinite sets according to their cardinal number By one-to-one pairing, he showed that the set of real numbers has a higher cardinal number than does the set of rational fractions However, he found every class of algebraic numbers has the same cardinal number as the integers. Such considerations led to his Mengenlehre (theory of assemblages) and Manningfaltigkeitslehre (theory of manifolds). He also invented the Cantor set Cantor's highly original views were vigorously opposed by his contemporaries, especially Kronecker . The attacks contributed to the nervous breakdowns he suffered throughout the final 33 years of his life. Cantor died in a mental institution. Kronecker Additional biographies: MacTutor (St. Andrews) References Bell, E. T. "Paradise Lost: Cantor." Ch. 29 in New York: Simon and Schuster, pp. 555-579, 1986. Dauben, J. W. Georg Cantor: His Mathematics and Philosophy of the Infinite. Princeton, NJ: Princeton University Press, 1990.

36. Georg-Cantor-Gymnasiums Das mathematischnaturwissenschaftliche Gymnasium informiert ¼ber Begabtenf¶rderung, die Schule sowie Erfolge bei diversen Wettbewerben. http://www.gym-cantor.bildung-lsa.de/

37. Biographie : Georg Cantor (3 Mars 1845 [St-Petersbourg] - 6 Janvier 1918 [Halle] détracteurs. georg cantor est né le 3 mars 1845 à St Petersbourg. http://www.bibmath.net/bios/index.php3?action=affiche&quoi=cantor

38. Cantor, Georg georg Ferdinand Ludwig Philipp cantor, b. Mar. 3, 1845, d. Jan. BibliographyDauben, JW, georg cantor His Mathematics and Philosophy of the Infinite http://euler.ciens.ucv.ve/English/mathematics/cantor.html

Cantor, Georg 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. Author: J. W. Dauben Bibliography: Dauben, J. W., Georg Cantor: His Mathematics and Philosophy of the Infinite (1978; repr. Homepage e-mail: webmaster@euler.ciens.ucv.ve

39. Escuela De Matemáticas - UCV Translate this page cantor, georg. georg Ferdinand Ludwig Philipp cantor, nacido en Mar. 3, 1845,muerto en Ene. 6, 1918, era un matemático ruso-alemán mejor conocido como el http://euler.ciens.ucv.ve/matematicos/cantor.html

Los Matemáticos mas famosos de todos los Tiempos: Niels Henrik Abel Arquímedes Banach, Stefan Bessel, Friedrich ... Cantor, Georg Georg Ferdinand Ludwig Philipp Cantor, nacido en Mar. 3, 1845, muerto en Ene. 6, 1918, era un matemático ruso-alemán mejor conocido como el creador de la TEORIA CONJUNTISTA y por su descubrimiento de los números transfinitos. También adelantó el estudio de las series trigonométricas, fue el primero en probar la no numerabilidad de los números reales, y hizo contribuciones significantes a la teoría de la dimensión. Cantor recibió su doctorado en 1867 y aceptó una posición en la Universidad de Halle en 1869, donde permaneció. Estrechamente relacionado al trabajo de Cantor en la teoría de los conjuntos transfinitos estuvo su definición del continuo como un conexo, conjunto perfecto. Nunca dudó de su absoluta confianza en su trabajo, pero seguidamente del descubrimiento de las paradojas de la teoría de conjuntos, el dejó la teoría de los conjuntos transfinitos a matemáticos más jóvenes tales como David HILBERT, Bertrand RUSSELL, y Ernst Zermelo. Autor: J. W. Dauben

40. Cantor_Note georg cantor. The founder of the set theory. Born in St. Petersberg, Russia, andstudied in Germany. His studies on the nature of infinity enabled us to 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

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