From: Eliezer S. Yudkowsky (sentience@pobox.com)
Date: Mon Feb 04 2002 - 16:58:23 MST
"Robert J. Bradbury" wrote:
>
> On Mon, 4 Feb 2002, Eliezer S. Yudkowsky wrote:
>
> > Furthermore, you cannot cut up any object composed of a finite number of
> > atoms. This isn't, as sometimes stated, because atoms are "too large".
> > Even if the object were composed of an infinite but countable number of
> > atoms, it wouldn't be enough.
>
> Since when did "infinite" become "countable"?
>
> Robert
"Countably infinite" means aleph-null, sets like the even numbers and the
rationals. As opposed to "uncountable" sets such as the reals.
"Countable" means a one-to-one correspondence with the infinite set "one,
two, three"...
-- -- -- -- --
Eliezer S. Yudkowsky http://singinst.org/
Research Fellow, Singularity Institute for Artificial Intelligence
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