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axiom of union

axiom of union noun: one of the axioms in axiomatic set theory, equivalent to the statement that a union exists for any set, containing exactly all the elements contained within the sets within that set.

Noun

axiom of union

  1. One of the axioms in axiomatic set theory, equivalent to the statement that a union exists for any set, containing exactly all the elements contained within the sets within that set.

Questions about axiom of union

What does axiom of union mean?
Axiom of union means one of the axioms in axiomatic set theory, equivalent to the statement that a union exists for any set, containing exactly all the elements contained within the sets within that set.
What part of speech is axiom of union?
Axiom of union is a noun.

Words near axiom of union in the dictionary

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

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Adapted from Wiktionary: axiom of union (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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