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Topic: The Distinguishability argument of the Reals.
Replies: 2   Last Post: Jan 4, 2013 2:37 PM

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Posts: 2,665
Registered: 6/29/07
Re: The Distinguishability argument of the Reals.
Posted: Jan 4, 2013 2:37 PM
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On Jan 4, 8:13 pm, "Jesse F. Hughes" <je...@phiwumbda.org> wrote:
> Zuhair <zaljo...@gmail.com> writes:
> > Dear fom I'm not against Uncountability, I'm not against Cantor's
> > argument. I'm saying that Cantor's argument is CORRECT. All what I'm
> > saying is that it is COUNTER-INTUITIVE as it violates the
> > Distinguishability argument which is an argument that comes from
> > intuition excerised in the FINITE world. That's all.

> But you've neither explained the meaning of your second premise nor
> given any indication why it is plausible.

I did but you just missed it.

My second premise is that finite distinguishability is countable.

What I meant by that is that we can only have countably many
distinguishable finite initial segments of reals. And this has already
been proved. There is no plausibility here, this is a matter that is
agreed upon.

> --
> Jesse F. Hughes
> "How lucky we are to be able to hear how miserable Willie Nelson could
> imagine himself to be." -- Ken Tucker on Fresh Air

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