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:
“My paramount object in this struggle is to save the Union, and is not either to save or to destroy slavery. If I could save the Union without freeing any slave, I would do it; and if I could save it by freeing all the slaves, I would do it; and if I could save it by freeing some and leaving others alone, I would also do that.”
—Abraham Lincoln (1809–1865)
“... 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)
“Castro couldn’t even go to the bathroom unless the Soviet Union put the nickel in the toilet.”
—Richard M. Nixon (1913–1995)