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Definition of Completeness axiom
1. Noun. (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). ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Completeness Axiom
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