Word.ws English Dictionary

union axiom

union axiom noun: the axiom stating that for every set of sets A, there exists a set C whose elements are all and only the elements of at least one B ∈ A.

Noun

union axiom (plural union axioms)

  1. The axiom stating that for every set of sets A, there exists a set C whose elements are all and only the elements of at least one B ∈ A.
    • For every set T there corresponds a set ∪T which consists of all the elements of the elements of T.1908, Ernst Zermelo, Investigations in the Foundations of Set Theory I

Forms of union axiom

pluralunion axioms

Questions about union axiom

What does union axiom mean?
Union axiom means the axiom stating that for every set of sets A, there exists a set C whose elements are all and only the elements of at least one B ∈ A.
What part of speech is union axiom?
Union axiom is a noun.
What is the plural of union axiom?
The plural of union axiom is union axioms.

Words near union axiom in the dictionary

  1. uniocular
  2. uniodized
  3. unioid
  4. unioids
  5. union
  6. union axiom
  7. union bug
  8. union bugs
  9. union card
  10. union catalog
  11. union catalogs

Source and license

Adapted from Wiktionary: union axiom (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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