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axiom of pairing

axiom of pairing noun: one of the axioms in axiomatic set theory, equivalent to the statement that if two sets exist, there exists a set with those two sets as its sole elements.

Noun

axiom of pairing

  1. One of the axioms in axiomatic set theory, equivalent to the statement that if two sets exist, there exists a set with those two sets as its sole elements.

Questions about axiom of pairing

What does axiom of pairing mean?
Axiom of pairing means one of the axioms in axiomatic set theory, equivalent to the statement that if two sets exist, there exists a set with those two sets as its sole elements.
What part of speech is axiom of pairing?
Axiom of pairing is a noun.

Words near axiom of pairing in the dictionary

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

Source and license

Adapted from Wiktionary: axiom of pairing (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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