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 must choose. Be a child of the past with all its crudities and imperfections, its failures and defeats, or a child of the future, the future of symmetry and ultimate success.”
—Frances E. Willard 18391898, U.S. president of the Womens Christian Temperance Union 1879-1891, author, activist. The Womans Magazine, pp. 137-40 (January 1887)
“At all events, as she, Ulster, cannot have the status quo, nothing remains for her but complete union or the most extreme form of Home Rule; that is, separation from both England and Ireland.”
—George Bernard Shaw (18561950)
“My whole working philosophy is that the only stable happiness for mankind is that it shall live married in blessed union to woman-kindintimacy, physical and psychical between a man and his wife. I wish to add that my state of bliss is by no means perfect.”
—D.H. (David Herbert)