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axiom of extensionality

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.

Noun

axiom of extensionality

  1. 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.

Questions about axiom of extensionality

What does axiom of extensionality mean?
Axiom of extensionality means 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.
What part of speech is axiom of extensionality?
Axiom of extensionality is a noun.

Words near axiom of extensionality in the dictionary

  1. axiologizing
  2. axiology
  3. axiom
  4. axiom of choice
  5. axiom of countable choice
  6. axiom of extensionality
  7. axiom of infinity
  8. axiom of pairing
  9. axiom of power set
  10. axiom of regularity
  11. axiom of union

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Adapted from Wiktionary: axiom of extensionality (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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