Word.ws English Dictionary

completeness axiom

completeness axiom noun: the following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset).

Noun

completeness axiom (plural completeness axioms)

  1. The following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset).

Forms of completeness axiom

pluralcompleteness axioms

Questions about completeness axiom

What does completeness axiom mean?
Completeness axiom means the following axiom (applied to an ordered field): for any subset of the given ordered field, if there is any upper bound for this subset, then there is also a supremum for this subset, and this supremum is an element of the given ordered field (though not necessarily of the subset).
What part of speech is completeness axiom?
Completeness axiom is a noun.
What is the plural of completeness axiom?
The plural of completeness axiom is completeness axioms.

Words near completeness axiom in the dictionary

  1. completely
  2. completely and utterly
  3. completely metrizable
  4. completement
  5. completeness
  6. completeness axiom
  7. completeness axioms
  8. completenesse
  9. completenesses
  10. completer
  11. completers

Source and license

Adapted from Wiktionary: completeness 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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