The algebra of sets develops and describes the basic properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
Read more about Algebra Of Sets: Introduction, The Fundamental Laws of Set Algebra, The Principle of Duality, Some Additional Laws For Unions and Intersections, Some Additional Laws For Complements, The Algebra of Inclusion, The Algebra of Relative Complements
Famous quotes containing the words algebra of, algebra and/or sets:
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)
“In the beautiful, man sets himself up as the standard of perfection; in select cases he worships himself in it.... Man believes that the world itself is filled with beauty—he forgets that it is he who has created it. He alone has bestowed beauty upon the world—alas! only a very human, an all too human, beauty.”
—Friedrich Nietzsche (1844–1900)