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axioms of choice

axioms of choice is the plural of axiom of choice.

Meaning of axiom of choice

Noun

axiom of choice (plural axioms of choice)

  1. One of the axioms of set theory, equivalent to the statement that an arbitrary direct product of non-empty sets is non-empty; any version of said axiom, for example specifying the cardinality of the number of sets from which choices are made.
    • The axiom of choice is logically equivalent to the assertion that every vector space has a basis.
    Synonyms:
    choice, AC

Questions about axioms of choice

What is axioms of choice the plural of?
Axioms of choice is the plural of axiom of choice.

Words near axioms of choice in the dictionary

  1. axiomizes
  2. axiomizing
  3. axiomless
  4. axiomlike
  5. axioms
  6. axioms of choice
  7. axion
  8. axion-like
  9. axion-like particle
  10. axion-like particles
  11. axionic

Source and license

Adapted from Wiktionary: axioms of choice (page history and authors); axiom of choice (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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