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Cardinal Multiplication


Cardinal multiplication of the cardinalities |A| and |B| of sets A and B is defined by the cardinality of their Cartesian product,

 |A|*|B|=|A×B|

(Ciesielski 1997, p. 68; Dauben 1990, p. 173; Moore 1982, p. 37; Rubin 1967, p. 274; Suppes 1972, pp. 114-115).


See also

Cardinal Addition, Cardinal Exponentiation

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References

Ciesielski, K. Set Theory for the Working Mathematician. Cambridge, England: Cambridge University Press, 1997.Dauben, J. W. Georg Cantor: His Mathematics and Philosophy of the Infinite. Princeton, NJ: Princeton University Press, 1990.Moore, G. H. Zermelo's Axiom of Choice: Its Origin, Development, and Influence. New York: Springer-Verlag, 1982.Rubin, J. E. Set Theory for the Mathematician. New York: Holden-Day, 1967.Suppes, P. Axiomatic Set Theory. New York: Dover, 1972.

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Cardinal Multiplication

Cite this as:

Weisstein, Eric W. "Cardinal Multiplication." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CardinalMultiplication.html

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