Difference between revisions of "Empty set"

From Wiki @ Karl Jones dot com
Jump to: navigation, search
(Created page with "In mathematics, and more specifically set theory, the '''empty set''' is the unique set having no elements; its size or...")
(No difference)

Revision as of 13:01, 24 September 2016

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.

Description

Some axiomatic set theories ensure 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.

The empty set may also be called the void set.

See also

External links