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:
“And thus they sang their mysterious duo, sang of their nameless hope, their death-in-love, their union unending, lost forever in the embrace of night’s magic kingdom. O sweet night, everlasting night of love! Land of blessedness whose frontiers are infinite!”
—Thomas Mann (1875–1955)
“My whole working philosophy is that the only stable happiness for mankind is that it shall live married in blessed union to woman-kind—intimacy, 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)
“[Let] the Union of the States be cherished and perpetuated. Let the open enemy to it be regarded as a Pandora with her box opened; and the disguised one, as the Serpent creeping with his deadly wiles into paradise.”
—James Madison (1751–1836)