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Message from discussion Is magnitude more fundamental than the real numbers?
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Gene Ward Smith  
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 More options Jun 30 2006, 1:07 pm
Newsgroups: sci.math
From: "Gene Ward Smith" <genewardsm...@gmail.com>
Date: 30 Jun 2006 10:07:37 -0700
Local: Fri, Jun 30 2006 1:07 pm
Subject: Re: Is magnitude more fundamental than the real numbers?

Timothy Golden   BandTechnology.com wrote:

> Hi. I answer the above in the affirmative. I'm curious what you think.

I think magnitude basically *is* the real numbers, since the absolute
value takes values in the non-negative reals for not only the reals,
but many other fields besides.

> I have a mathematical
> construction reliant upon magnitude that defines the reals (P2) and
> complex numbers(P3) .

I've pointed out several times that you do not have such a
construction. I'll repeat it: you have NOT constructed the reals. This
is because your definition requires that the reals have already been
constructed.

 
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