Phrase guide

completeness axiom

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 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).

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

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