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:
“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)
“My Christian friends, in bonds of love, whose hearts in sweetest union join,
Your friendship’s like a drawing band, yet we must take the parting hand.
Your company’s sweet, your union dear; Your words delightful to my ear,
Yet when I see that we must part, You draw like cords around my heart.”
—John Blain (18th century)
“So we grew together
Like to a double cherry, seeming parted,
But yet an union in partition,
Two lovely berries moulded on one stem.”
—William Shakespeare (1564–1616)