Cantor's theorem


Cantor's theorem
Fundamental theorem of set theory, proved by Cantor in 1891. It is usually split into two parts. Cantor's theorem says that the set of real numbers is non-denumerable. Cantor's power set theorem shows that the power set of any set is always greater than the set itself. Cantor proved both results by a diagonal argument. See also continuum, number, set theory.

Philosophy dictionary. . 2011.

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