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From: mstem...@walkabout.empros.com (Michael Stemper)
Newsgroups: sci.math
Subject: Re: Foundations of real numbers
Date: Thu, 11 Oct 2012 17:28:39 +0000 (UTC)
Organization: Society for Rational Investigation
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References: <9082b607-540d-4e9d-9bd7-fb3e405a7294@googlegroups.com> <k55n3g$pdu$1@news.albasani.net>
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In article <k55n3g$pd...@news.albasani.net>, "Peter Webb" <webbfamily@DIE_SPAMoptusnet.com.au> writes:

>The problem (as I see it) with Cauchy sequences is that they are sequences, 
>and hence require a mapping from N to Rationals.

Why would that be a problem?

>                  The LUB property is more 
>general, in that it applies to unordered sets.

It does? I always thought that order was necessary before you could
define any upper (or lower) bounds.

-- 
Michael F. Stemper
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