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:
“[With the Union saved] its form of government is saved to the world; its beloved history, and cherished memories, are vindicated; and its happy future fully assured, and rendered inconceivably grand.”
—Abraham Lincoln (1809–1865)
“One thing that makes art different from life is that in art things have a shape ... it allows us to fix our emotions on events at the moment they occur, it permits a union of heart and mind and tongue and tear.”
—Marilyn French (b. 1929)
“... as women become free, economic, social factors, so becomes possible the full social combination of individuals in collective industry. With such freedom, such independence, such wider union, becomes possible also a union between man and woman such as the world has long dreamed of in vain.”
—Charlotte Perkins Gilman (1860–1935)