Georg Cantor
From The Art and Popular Culture Encyclopedia
Related e |
Featured: |
Georg Ferdinand Ludwig Philipp Cantor (1845 February 19 – 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.
[edit]
See also
- Cantor cube
- Cantor function
- Cantor medal – award by the Deutsche Mathematiker-Vereinigung in honor of Georg Cantor.
- Cantor set
- Cantor space
- Cantor's back-and-forth method
- Controversy over Cantor's theory
- Heine–Cantor theorem
- Infinity
- List of German inventors and discoverers
- Pairing function
Unless indicated otherwise, the text in this article is either based on Wikipedia article "Georg Cantor" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.