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set theory > set > empty set

Preferred term

empty set  

Definition

  • In mathematics, 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, while in other theories, its existence can be deduced. Many possible properties of sets are vacuously true for the empty set.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Empty_set)

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http://data.loterre.fr/ark:/67375/PSR-RV5D20JJ-X

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