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:
“In the Lords Prayer, the first petition is for daily bread. No one can worship God or love his neighbor on an empty stomach.”
—Woodrow Wilson (18561924)
“Groot: Now wait a minute, Quo. You really aint gonna take a mans only set of teeth, are ya?
Quo: Uh huh.
Groot: Yeah, but I gotta use em for eatin.
Quo: Come grub you get em.
Groot: Whad ya gonna do with em?
Quo: My name now Two-Jaw Quo.”
—Borden Chase [Frank Fowler] (19001971)