Re: Proof 0.999... is not equal to one.

In article <1180592211.525328.214270@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
<chajadan@xxxxxxxx> wrote:
I have written a proof that 0.999... cannot be equal to one in the
system of real numbers.

While at the end of it all you may not fully agree with my proof, much
I as have never seen a proof asserting they were equal that I was able
to consider valid, I'm sure you will agree that the
ideas I present are not a simply rehashing of basic objections of
others before me.

Your "proof" is the usual mish-mash of inadequate definitions and
hand-waving.

The equality is straightforward once you have precisely defined 0.999...

A reasonable definition is that 0.999... is the limit of the sequence

0.9 0.99 0.999 ...

The members of this sequence are 1 - 10^n, and the limit is 1. Therefore
0.999... = 1.

So, before proceeding any further, what is *YOUR* definition of 0.999...?

-- Richard
--
"Consideration shall be given to the need for as many as 32 characters
in some alphabets" - X3.4, 1963.
.