completeness axiom

EnglishEdit

Wikipedia has an article on:

Wikipedia

NounEdit

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).

HypernymsEdit

Last modified on 18 June 2013, at 20:34