Re: 1=/ .9999999..... proof

In sci.logic, elsiemelsi
<cyprinsam@[EMAIL PROTECTED]
>
 wrote
on Sun, 24 Feb 2008 22:13:45 -0600
<52906844790a3dd56e9330c5e0a7d986@[EMAIL PROTECTED]
>:
> even jan says it legal to have 7 at the end of an infinity line
>
> Actually its legal to talk about a 7 at the end
> of the infinity line. Namely because we are
> dealing with ordinals and not with cardinals.

OK.  Now how does one handle

..333.... x .333... ?

In this New Arithmetic(tm) we should get something like

..111....11088....889
 <i>    <w+i>    <2w>

where 'w' is omega.

Since 1/3 = .333.... the product 1/3 x 1/3 is clearly
not represntable by a fraction (1/9 = .111..... does not
extend past <w>), and therefore the rational numbers is
not closed under this new system.

This is a minor problem, to be sure...but it *is* a problem.
I'm assuming you have a fix.

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#191, ewill3@[EMAIL PROTECTED]
 C/C++ Programming Idea #104392:
for(int i = 0; i < 1000000; i++) sleep(0);

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