Union (set Theory) - Finite Unions

Finite Unions

One can take the union of several sets simultaneously. For example, the union of three sets A, B, and C contains all elements of A, all elements of B, and all elements of C, and nothing else. Thus, x is an element of ABC if and only if x is in at least one of A, B, and C.

In mathematics a finite union means any union carried out on a finite number of sets: it doesn't imply that the union set is a finite set.

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Famous quotes containing the words finite and/or unions:

    The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice.
    Blaise Pascal (1623–1662)

    When Hitler attacked the Jews ... I was not a Jew, therefore, I was not concerned. And when Hitler attacked the Catholics, I was not a Catholic, and therefore, I was not concerned. And when Hitler attacked the unions and the industrialists, I was not a member of the unions and I was not concerned. Then, Hitler attacked me and the Protestant church—and there was nobody left to be concerned.
    Martin Niemller (1892–1984)