Re: How many digits is pi computable to?
From: r.e.s. (r.s_at_ZZmindspring.com)
Date: 01/18/05
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Date: Tue, 18 Jan 2005 16:30:02 GMT
"r.e.s." <r.s@ZZmindspring.com> wrote ...
> "Don Del Grande" <del_grande_news@earthlink.net> wrote ...
>
>> Is there a proof that the real numbers in [0,1] are uncountable that
>> does not use diagonalization?
>
> See
> http://en.wikipedia.org/wiki/Cantor%27s_first_uncountability_proof
Given the various objections to the quality of the presentation
on that page, perhaps someone would post a link to one that's
more faithful to Cantor's original?
My purpose in giving the wikipedia link was to confirm that,
yes, there is such a proof, and that in fact Cantor's "first
proof" did not use diagonalisation -- not to vouch for the
quality of the proof as presented there.
--r.e.s.
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