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:
“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)
“We hope the day will soon come when every girl will be a member of a great Union of Unmarried Women, pledged to refuse an offer of marriage from any man who is not an advocate of their emancipation.”
—Tennessee Claflin (1846–1923)
“So we grew together
Like to a double cherry, seeming parted,
But yet an union in partition,
Two lovely berries moulded on one stem.”
—William Shakespeare (1564–1616)