Georg Cantor Quotes


A set is a Many that allows itself to be thought of as a One.


Citations

Cantor, Georg. "Ueber unendliche, lineare Punktmannichfaltigkeiten, 5." Mathematische Annalen, vol. 21, no. 4, 1883, p. 545.

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Georg Cantor
Georg Cantor
  • Born: March 3, 1845
  • Died: January 6, 1918
  • Nationality: German
  • Profession: Mathematician

Georg Ferdinand Ludwig Philipp Cantor was a German mathematician. He created 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 he was well aware of.