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:
“It would be unjust, and moreover Utopian, for Shakespeare to direct the shoemakers’ union. But it would be equally disastrous for the shoemakers’ union to ignore Shakespeare.”
—Albert Camus (1913–1960)
“Castro couldn’t even go to the bathroom unless the Soviet Union put the nickel in the toilet.”
—Richard M. Nixon (1913–1995)
“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 (1856–1950)