The symbol  union , used for the union of sets, and, sometimes, also for the logical connective OR instead of the symbol  v (vee). In fact, for any two sets A and B

 x in A union B    <==>    x in A or x in B,

and this equivalence demonstrates the connection between the set-theoretical and the logical meaning.

See also

Cap, Cup Product, OR, Union, Vee

This entry contributed by Margherita Barile

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Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 2, 3rd ed. New York: Wiley, 1971.

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Cite this as:

Barile, Margherita. "Cup." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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