completeness axioms

A form of completeness axiom — 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).

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Meanings

noun
  1. pluralplural of completeness axiom
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APA

completeness axioms. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/completeness%20axioms

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“completeness axioms.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/completeness%20axioms. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “completeness axioms,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/completeness%20axioms.

Source: completeness axioms on Wiktionary, CC BY-SA 4.0.