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:
“If in madness of delusion, anyone shall lift his parricidal hand against this blessed union ... the arms of thousands will be raised to save it, and the curse of millions will fall upon the head which may have plotted its destruction.”
—Andrew Jackson (1767–1845)
“The methods by which a trade union can alone act, are necessarily destructive; its organization is necessarily tyrannical.”
—Henry George (1839–1897)
“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)