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:
“At all events, as she, Ulster, cannot have the status quo, nothing remains for her but complete union or the most extreme form of Home Rule; that is, separation from both England and Ireland.”
—George Bernard Shaw (1856–1950)
“Without the power of the Industrial Union behind it, Democracy can only enter the State as the victim enters the gullet of the Serpent.”
—James Connolly (1870–1916)
“The man whose whole activity is diverted to inner meditation becomes insensible to all his surroundings. If he loves, it is not to give himself, to blend in fecund union with another being, but to meditate on his love. His passions are mere appearances, being sterile. They are dissipated in futile imaginings, producing nothing external to themselves.”
—Emile Durkheim (1858–1917)