Re: Is magnitude more fundamental than the real numbers?

From: "Gene Ward Smith" <genewardsmith@xxxxxxxxx>
Date: 30 Jun 2006 10:07:37 -0700

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.

.

References:
- Is magnitude more fundamental than the real numbers?
  - From: Timothy Golden BandTechnology.com

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