Re: Deep Thoughts # 7: A New Kind of Mathematics

From: Chris Menzel (cmenzel_at_remove-this.tamu.edu)
Date: 06/16/04


Date: 16 Jun 2004 04:39:12 GMT

On 14 Jun 2004 07:15:53 -0700, David Bandel <dwb1729@yahoo.com> said:
> Natural numbers were originally intended and continue to be intended
> by mathematicians to mean the "counting" numbers not including zero.

Numbers are also used to measure the "size", or cardinal, properties of
sets. In this context it is very natural to consider zero a number, as
it is a size that sets can be. (Well, one of them, anyway.)

> You hardly deal with zero in number theory.

What *are* you talking about?

> You deal with the "positive integers."

0 is a part of both formal number theory and ordinary
balance-yer-checkbook algebra.

> It's considered unfortunate that the standard is not universally
> agreed upon.

By whom?

Chris Menzel



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