Cantor, Georg

Cantor, Georg
German mathematician and founder of set theory . Born in St Petersburg, Cantor studied at Berlin under Weierstrass, and taught at the university of Halle from 1872. His celebrated diagonal argument proving the different cardinality of the reals and the rationals was first used in a paper of 1874. This demonstrated the existence of infinite sets of differing cardinality: the fundamental result of the modern theory of sets. Cantor's work was much misunderstood, and attacked by his contemporaries for its unfettered use of the notion of a completed infinity. Although suffering from problems of mental health he devoted the major part of the remainder of his academic career to the mathematical (and philosophical) defence of the world of mathematical objects that he had opened up. He was also the first to pose and to attempt to prove the continuum hypothesis.

Philosophy dictionary. . 2011.

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  • Cantor, Georg — born March 3, 1845, St. Petersburg, Russia died Jan. 6, 1918, Halle, Ger. German mathematician, founder of set theory. He was the first to examine number systems, such as the rational numbers and the real numbers, systematically as complete… …   Universalium

  • Cantor, Georg — (3 mar. 1845, San Petersburgo, Rusia–6 ene. 1918, Halle, Alemania). Matemático alemán, fundador de la teoría de conjuntos. Fue el primero en examinar sistemas de números, como los números racionales y los números reales, sistemáticamente como… …   Enciclopedia Universal

  • Cantor , Georg Ferdinand Ludwig Philipp — (1845–1918) German mathematician The son of a prosperous merchant of St. Petersburg, at that time the capital of Russia, Cantor was educated at the University of Berlin where he completed his PhD in 1868. In 1870 he joined the faculty of the… …   Scientists

  • Cantor — Cantor, Georg …   Philosophy dictionary

  • Georg Cantor — Georg Ferdinand Ludwig Philipp Cantor [ɡ̥eˈɔʁk (ˈfɛʁdinant ˈluːtvɪç ˈfiːlɪp) ˈkʰantɔʁ] (* 19. Februarjul./ 3. März 1845greg. in Sankt Petersburg; † 6. J …   Deutsch Wikipedia

  • Georg Ferdinand Cantor — Georg Cantor Pour les articles homonymes, voir Cantor. Georg Cantor Georg Ferdinand Ludwig Philipp Cantor …   Wikipédia en Français

  • Georg Ferdinand Ludwig Philipp Cantor — Georg Cantor Pour les articles homonymes, voir Cantor. Georg Cantor Georg Ferdinand Ludwig Philipp Cantor …   Wikipédia en Français

  • Georg Cantor — Nacimiento 3 de marzo de 1845 San Petersburgo, Rusia Fallecimiento …   Wikipedia Español

  • cantor — [ kɑ̃tɔr ] n. m. • v. 1900; all. Kantor « celui qui dirige la chapelle »; lat. médiév. cantor ♦ Hist. Mus. Chantre; maître de chapelle et maître de chœur. J. S. Bach fut cantor à la Thomaskirche de Leipzig. ● cantor nom masculin (allemand Kantor …   Encyclopédie Universelle

  • Cantor — Cantor, Georg, Mathematiker, geb. 3. März 1845 in Petersburg, seit 1872 Prof. in Halle; schrieb: »Grundlagen einer allgemeinen Mannigfaltigkeitslehre« (1883) u.a …   Kleines Konversations-Lexikon

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