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axiom of regularity

axiom of regularity noun: one of the axioms in axiomatic set theory, equivalent to the statement that every non-empty set contains a member that is disjoint from that set.

Noun

axiom of regularity (uncountable)

  1. One of the axioms in axiomatic set theory, equivalent to the statement that every non-empty set contains a member that is disjoint from that set.

Questions about axiom of regularity

What does axiom of regularity mean?
Axiom of regularity means one of the axioms in axiomatic set theory, equivalent to the statement that every non-empty set contains a member that is disjoint from that set.
What part of speech is axiom of regularity?
Axiom of regularity is a noun.

Words near axiom of regularity in the dictionary

  1. axiom of countable choice
  2. axiom of extensionality
  3. axiom of infinity
  4. axiom of pairing
  5. axiom of power set
  6. axiom of regularity
  7. axiom of union
  8. axiom schema
  9. axiom schema of abstraction
  10. axiom schema of separation
  11. axiom schemas

Source and license

Adapted from Wiktionary: axiom of regularity (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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