completeness axiom

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English

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Noun

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completeness axiom (plural completeness axioms)

  1. (mathematics) 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).

Hypernyms

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