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completeness axiom

noun

Definitions

  1. The following axiom (applied to an ordered field)

    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).

The neighborhood

Vish — recursive loop

No curated loop yet for completeness axiom. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA