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 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 monk in hiding himself from the world becomes not less than himself, not less of a person, but more of a person, more truly and perfectly himself: for his personality and individuality are perfected in their true order, the spiritual, interior order, of union with God, the principle of all perfection.”
—Thomas Merton (1915–1968)
“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)