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:
“The sacred obligation to the Union soldiers must not—will not be forgotten nor neglected.... But those who fought against the Nation cannot and do not look to it for relief.... Confederate soldiers and their descendants are to share with us and our descendants the destiny of America. Whatever, therefore, we their fellow citizens can do to remove burdens from their shoulders and to brighten their lives is surely in the pathway of humanity and patriotism.”
—Rutherford Birchard Hayes (1822–1893)
“Should the German people lay down their arms, the Soviets ... would occupy all eastern and south-eastern Europe together with the greater part of the Reich. Over all this territory, which with the Soviet Union included, would be of enormous extent, an iron curtain would at once descend.”
—Joseph Goebbels (1897–1945)
“Every good cause gained a victory when the Union troops were triumphant. Our final victory was the triumph of religion, of virtue, of knowledge.... During those four years, whatever our motives, whatever our lives, we were fighting on God’s side. We were doing His work. What would this country have been if we had failed?”
—Rutherford Birchard Hayes (1822–1893)