Re: .99999... still=/= 1

From: tinyurl.com/uh3t (rem642b_at_Yahoo.Com)
Date: 12/14/04 

Date: Mon, 13 Dec 2004 16:17:17 -0800

> From: smart1234@aol.com (S. Enterprize Company)
> there must be something in the real number system that would explain
> the time difference in these calculations that shows 1 = 1

>From the fact that there are two different ways of computing a
representation of the number 1, one of which is very fast and one of
which is very slow, you conclude that the two results you get can't
possibly be the same number, so there must be something in the real
number system that makes 1 a different number from 1 depending on how
it was calculated? On what principle of logic do you come to that
conclusion?

Or is your whole starting of this thread a lie? You admit that the
periodic decimal fraction .99999... (using the real metric) and the
integer 1 (using the usual embedding of integers in reals) are exactly
the same real number, and the only thing different about the two
representations of them is that it takes more work to figure out what
real number is a particular periodic decimal fraction than it takes to
figure out what real number is a particular integer, but assuming you
do the work to figure out what each is, they turn out to be exactly the
same real number?

> Otherwise both computers would have shown 1 = 1 at the same time.

So you believe it's impossible to write two different computer programs
that produce the same result but one runs faster than the other and so
it gets the answer faster than the other? So if one computer program
takes longer than the other, you know for sure the results will be
different?

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