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:
“These semi-traitors [Union generals who were not hostile to slavery] must be watched.—Let us be careful who become army leaders in the reorganized army at the end of this Rebellion. The man who thinks that the perpetuity of slavery is essential to the existence of the Union, is unfit to be trusted. The deadliest enemy the Union has is slavery—in fact, its only enemy.”
—Rutherford Birchard Hayes (1822–1893)
“Without the power of the Industrial Union behind it, Democracy can only enter the State as the victim enters the gullet of the Serpent.”
—James Connolly (1870–1916)
“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)