From The Art and Popular Culture Encyclopedia
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.
- 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
- List of German inventors and discoverers
- Pairing function