empty set

Also known as null set

set (in mathematics) containing no elements

AI overview

An empty set is a collection that contains nothing at all — no items, no members, no elements inside it. It matters in mathematics because it serves as a foundation for building logical systems and helps mathematicians precisely define and reason about collections of things.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: Empty set symbol.svg

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TeX string: \varnothing
Commons category: Nested set V4

Sources (1)

wikidata.org

via Wikidata · CC0

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Article

The empty set is the set containing no elements. In mathematics, the empty set or void 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, while in other theories, its existence can be deduced. Many possible properties of sets are vacuously true for the empty set.

Any set other than the empty set is called non-empty.