Union
The union used in set theory is defined in terms of a logical disjunction: x ∈ A ∪ B if and only if (x ∈ A) ∨ (x ∈ B). Because of this, logical disjunction satisfies many of the same identities as set-theoretic union, such as associativity, commutativity, distributivity, and de Morgan's laws.
Read more about this topic: Logical Disjunction
Famous quotes containing the word union:
“At all events, as she, Ulster, cannot have the status quo, nothing remains for her but complete union or the most extreme form of Home Rule; that is, separation from both England and Ireland.”
—George Bernard Shaw (1856–1950)
“The only hope of socialism resides in those who have already brought about in themselves, as far as is possible in the society of today, that union between manual and intellectual labor which characterizes the society we are aiming at.”
—Simone Weil (1909–1943)
“We are constantly thinking of the great war ... which saved the Union ... but it was a war that did a great deal more than that. It created in this country what had never existed before—a national consciousness. It was not the salvation of the Union, it was the rebirth of the Union.”
—Woodrow Wilson (1856–1924)