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:
“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)
“The sacred obligation to the Union soldiers must not—will not be forgotten nor neglected.... But those who fought against the Nation cannot and do not look to it for relief.... Confederate soldiers and their descendants are to share with us and our descendants the destiny of America. Whatever, therefore, we their fellow citizens can do to remove burdens from their shoulders and to brighten their lives is surely in the pathway of humanity and patriotism.”
—Rutherford Birchard Hayes (1822–1893)
“The union of hands and hearts.”
—Jeremy Taylor (1613–1667)