axiom of extensionality

noun

One of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements.

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Meanings

noun
  1. mathematicsOne of the axioms in axiomatic set theory, equivalent to the statement that two sets are equal if and only if they contain the same elements.

Translations

Finnish ekstensionaalisuusaksiooma
  • ekstensionaalisuusaksioomaaxiom of extensionality
German Extensionalitätsaxiom
  • Extensionalitätsaxiomaxiom of extensionality
Polish aksjomat ekstensjonalności
  • aksjomat ekstensjonalnościaxiom of extensionality
Cite this entry
APA

axiom of extensionality. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/axiom%20of%20extensionality

MLA

“axiom of extensionality.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/axiom%20of%20extensionality. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “axiom of extensionality,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/axiom%20of%20extensionality.

Source: axiom of extensionality on Wiktionary, CC BY-SA 4.0.