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==Complete is the wrong word==
Technically, the real numbers are not [[complete]]. Of course, the [[extended reals]] are complete. It may be better to remove the completeness requirement and leave the "i.e.". Really, all we need is what Rudin calls the "least-upper-bound property." That is, the least upper bound of any set that is bounded from above exists (and the similar claim about sets bounded from below and infimum). --[[User:TedPavlic|TedPavlic]] 15:32, 7 March 2007 (UTC)
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