Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Georg_Cantor> ?p ?o. }
- Georg_Cantor abstract "Georg Ferdinand Ludwig Philipp Cantor (/ˈkæntɔr/ KAN-tor; German: [ˈɡeɔʁk ˈfɛʁdinant ˈluːtvɪç ˈfɪlɪp ˈkantɔʁ]; March 3 [O.S. February 19] 1845 – January 6, 1918) was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware.Cantor's theory of transfinite numbers was originally regarded as so counter-intuitive – even shocking – that it encountered resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised philosophical objections. Some Christian theologians (particularly neo-Scholastics) saw Cantor's work as a challenge to the uniqueness of the absolute infinity in the nature of God – on one occasion equating the theory of transfinite numbers with pantheism – a proposition that Cantor vigorously rejected.The objections to Cantor's work were occasionally fierce: Poincaré referred to his ideas as a "grave disease" infecting the discipline of mathematics, and Kronecker's public opposition and personal attacks included describing Cantor as a "scientific charlatan", a "renegade" and a "corrupter of youth." Kronecker even objected to Cantor's proofs that the algebraic numbers are countable, and that the transcendental numbers are uncountable, results now included in a standard mathematics curriculum. Writing decades after Cantor's death, Wittgenstein lamented that mathematics is "ridden through and through with the pernicious idioms of set theory," which he dismissed as "utter nonsense" that is "laughable" and "wrong". Cantor's recurring bouts of depression from 1884 to the end of his life have been blamed on the hostile attitude of many of his contemporaries, though some have explained these episodes as probable manifestations of a bipolar disorder.The harsh criticism has been matched by later accolades. In 1904, the Royal Society awarded Cantor its Sylvester Medal, the highest honor it can confer for work in mathematics. It has been suggested that Cantor believed his theory of transfinite numbers had been communicated to him by God.David Hilbert defended it from its critics by famously declaring: "No one shall expel us from the Paradise that Cantor has created."".
- Georg_Cantor alias "Cantor, Georg".
- Georg_Cantor almaMater ETH_Zurich.
- Georg_Cantor almaMater Humboldt_University_of_Berlin.
- Georg_Cantor birthDate "1845-03-03".
- Georg_Cantor birthName "Georg Ferdinand Ludwig Philipp Cantor".
- Georg_Cantor birthPlace Russia.
- Georg_Cantor birthPlace Russian_Empire.
- Georg_Cantor birthPlace Saint_Petersburg.
- Georg_Cantor birthYear "1845".
- Georg_Cantor deathDate "1918-01-06".
- Georg_Cantor deathPlace German_Empire.
- Georg_Cantor deathPlace Germany.
- Georg_Cantor deathPlace Halle_(Saale).
- Georg_Cantor deathPlace Province_of_Saxony.
- Georg_Cantor deathYear "1918".
- Georg_Cantor doctoralAdvisor Ernst_Kummer.
- Georg_Cantor doctoralAdvisor Karl_Weierstrass.
- Georg_Cantor doctoralStudent Alfred_Barneck.
- Georg_Cantor field Mathematics.
- Georg_Cantor knownFor Set_theory.
- Georg_Cantor lccnId "n/82/252409".
- Georg_Cantor nationality Germany.
- Georg_Cantor residence German_Empire.
- Georg_Cantor residence Russian_Empire.
- Georg_Cantor thumbnail Georg_Cantor2.jpg?width=300.
- Georg_Cantor viafId "39412881".
- Georg_Cantor wikiPageExternalLink index.php?id=11&PPN=PPN237853094&DMDID=DMDLOG_0001&L=1.
- Georg_Cantor wikiPageExternalLink set-theory.
- Georg_Cantor wikiPageExternalLink wittgenstein-mathematics.
- Georg_Cantor wikiPageExternalLink Dauben93.htm.
- Georg_Cantor wikiPageExternalLink www.cantor-gymnasium.de.
- Georg_Cantor wikiPageExternalLink a-pentameter-of-questions-about-infinity.html.
- Georg_Cantor wikiPageID "12216".
- Georg_Cantor wikiPageRevisionID "606527167".
- Georg_Cantor almaMater ETH_Zurich.
- Georg_Cantor almaMater Humboldt_University_of_Berlin.
- Georg_Cantor alternativeNames "Cantor, Georg".
- Georg_Cantor birthDate "1845-03-03".
- Georg_Cantor birthName "Georg Ferdinand Ludwig Philipp Cantor".
- Georg_Cantor birthPlace Russian_Empire.
- Georg_Cantor birthPlace Saint_Petersburg.
- Georg_Cantor class "HistTopics".
- Georg_Cantor dateOfBirth "1845-03-03".
- Georg_Cantor dateOfDeath "1918-01-06".
- Georg_Cantor deathDate "1918-01-06".
- Georg_Cantor deathPlace German_Empire.
- Georg_Cantor deathPlace Halle_(Saale).
- Georg_Cantor deathPlace Province_of_Saxony.
- Georg_Cantor doctoralAdvisor Ernst_Kummer.
- Georg_Cantor doctoralAdvisor Karl_Weierstrass.
- Georg_Cantor doctoralStudents Alfred_Barneck.
- Georg_Cantor ethnicity "Jewish".
- Georg_Cantor field Mathematics.
- Georg_Cantor hasPhotoCollection Georg_Cantor.
- Georg_Cantor id "Beginnings_of_set_theory".
- Georg_Cantor imageSize "225".
- Georg_Cantor knownFor Set_theory.
- Georg_Cantor lccn "n/82/252409".
- Georg_Cantor name "Cantor, Georg Ferdinand Ludwig Philipp".
- Georg_Cantor name "Georg Cantor".
- Georg_Cantor nationality Germany.
- Georg_Cantor placeOfBirth Russia.
- Georg_Cantor placeOfBirth Saint_Petersburg.
- Georg_Cantor placeOfDeath Germany.
- Georg_Cantor placeOfDeath Halle_(Saale).
- Georg_Cantor pnd "118518887".
- Georg_Cantor residence German_Empire.
- Georg_Cantor residence Russian_Empire.
- Georg_Cantor shortDescription "Mathematician who originated set theory.".
- Georg_Cantor thesisTitle "De aequationibus secundi gradus indeterminatis".
- Georg_Cantor thesisYear "1867".
- Georg_Cantor title "A history of set theory".
- Georg_Cantor viaf "39412881".
- Georg_Cantor wordnet_type synset-scientist-noun-1.
- Georg_Cantor workInstitutions Martin_Luther_University_of_Halle-Wittenberg.
- Georg_Cantor description "Mathematician who originated set theory.".
- Georg_Cantor description "Mathematician who originated set theory.".
- Georg_Cantor subject Category:1845_births.
- Georg_Cantor subject Category:1918_deaths.
- Georg_Cantor subject Category:19th-century_German_mathematicians.
- Georg_Cantor subject Category:19th-century_German_writers.
- Georg_Cantor subject Category:19th-century_philosophers.
- Georg_Cantor subject Category:20th-century_German_writers.
- Georg_Cantor subject Category:20th-century_mathematicians.
- Georg_Cantor subject Category:20th-century_philosophers.
- Georg_Cantor subject Category:Baltic-German_people.
- Georg_Cantor subject Category:ETH_Zurich_alumni.
- Georg_Cantor subject Category:German_Lutherans.
- Georg_Cantor subject Category:German_logicians.
- Georg_Cantor subject Category:German_mathematicians.
- Georg_Cantor subject Category:German_philosophers.
- Georg_Cantor subject Category:Martin_Luther_University_of_Halle-Wittenberg_faculty.
- Georg_Cantor subject Category:People_from_Saint_Petersburg.
- Georg_Cantor subject Category:People_with_bipolar_disorder.
- Georg_Cantor subject Category:Set_theorists.
- Georg_Cantor type 19th-centuryMathematicians.
- Georg_Cantor type 19th-centuryPhilosophers.
- Georg_Cantor type 20th-centuryMathematicians.
- Georg_Cantor type 20th-centuryPhilosophers.