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Cantor's Theorem


The cardinal number of any set is lower than the cardinal number of the set of all its subsets. A corollary is that there is no highest aleph (aleph).


See also

Cantor's Paradox

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References

Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, pp. 257 and 295, 1997.Suppes, P. Axiomatic Set Theory. New York: Dover, p. 97, 1972.

Cite this as:

Weisstein, Eric W. "Cantor's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CantorsTheorem.html

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