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 the Union is now dissolved it does not prove that the experiment of popular government is a failure.... But the experiment of uniting free states and slaveholding states in one nation is, perhaps, a failure.... There probably is an “irrepressible conflict” between freedom and slavery. It may as well be admitted, and our new relations may as be formed with that as an admitted fact.”
—Rutherford Birchard Hayes (1822–1893)
“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)
“The methods by which a trade union can alone act, are necessarily destructive; its organization is necessarily tyrannical.”
—Henry George (1839–1897)