Empty Set

In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories assure that the empty set exists by including an axiom of empty set; in other theories, its existence can be deduced. Many possible properties of sets are trivially true for the empty set.

Null set was once a common synonym for "empty set", but is now a technical term in measure theory.

Read more about Empty Set:  Notation, Properties

Famous quotes containing the words empty and/or set:

    The skylines lit up at dead of night, the air- conditioning systems cooling empty hotels in the desert and artificial light in the middle of the day all have something both demented and admirable about them. The mindless luxury of a rich civilization, and yet of a civilization perhaps as scared to see the lights go out as was the hunter in his primitive night.
    Jean Baudrillard (b. 1929)

    Greatness collapses of itself: such limit the gods have set to the growth of prosperous states.
    Marcus Annaeus Lucan (39–65)