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:
“The old ideals are dead as nails—nothing there. It seems to me there remains only this perfect union with a woman—sort of ultimate marriage—and there isn’t anything else.”
—D.H. (David Herbert)
“I would save the Union. I would save it the shortest way under the Constitution. The sooner the national authority can be restored; the nearer the Union will be “the Union as it was.””
—Abraham Lincoln (1809–1865)
“The man whose whole activity is diverted to inner meditation becomes insensible to all his surroundings. If he loves, it is not to give himself, to blend in fecund union with another being, but to meditate on his love. His passions are mere appearances, being sterile. They are dissipated in futile imaginings, producing nothing external to themselves.”
—Emile Durkheim (1858–1917)