Functional Completeness - Set Theory

Set Theory

There are a isomorphism between Algebra of sets and the Boolean algebra, that is, they have the same structure. Then, if we map boolean operators into set operators, the "translated" above text are valid also for sets: there are many "minimal complete set of set-theory operators" that can generate any other set relations. The more popular "Minimal complete operator sets" are {¬, ∩} and {¬, ∪}.

Read more about this topic:  Functional Completeness

Famous quotes containing the words set and/or theory:

    Narcissus does not fall in love with his reflection because it is beautiful, but because it is his. If it were his beauty that enthralled him, he would be set free in a few years by its fading.
    —W.H. (Wystan Hugh)

    The struggle for existence holds as much in the intellectual as in the physical world. A theory is a species of thinking, and its right to exist is coextensive with its power of resisting extinction by its rivals.
    Thomas Henry Huxley (1825–95)