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Georg Ferdinand Ludwig Philipp Cantor ( ; ; – 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.

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