Empty Set
An Empty Set is a set with Zero Set Members.
- AKA: Ø, Λ, Null Set.
- Context:
- Example(s):
- an Empty Sequence.
- an Empty Interval.
- an Empty String.
- …
- Counter-Example(s):
- an Non-Empty Set, such as a single member set.
- See: Set System.
References
2015
- (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/empty_set Retrieved:2015-6-1.
- 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 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.
- 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 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.