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:
“Through the dark cold and the empty desolation,
The wave cry, the wind cry, the vast waters
Of the petrel and the porpoise. In my end is my beginning.”
—T.S. (Thomas Stearns)
“One, two and many: flesh had made him blind,
Flesh had one pleasure only in the act,
Flesh set one purpose only in the mind—
Triumph of flesh and afterwards to find
Still those same terrors wherewith flesh was racked.”
—Robert Graves (1895–1985)