Re: infinity
- From: imaginatorium@xxxxxxxxxxxxx
- Date: 8 Sep 2005 06:57:22 -0700
David Kastrup wrote:
> stevendaryl3016@xxxxxxxxx (Daryl McCullough) writes:
>
> > But aleph_0 is not a natural number, so it is incorrect to replace
> > n by aleph_0. However, it is true that the size of the set
> >
> > { 1, 2, ... aleph_0 }
> >
> > is aleph_0.
>
> I think that this is an abuse of notation since it implies a sequence
> ending in aleph_0.
Perhaps, but all you need to do is insert a comma before aleph_0:
{ 1, 2, ..., aleph_0 }
Now it's the sequence 1, 2, 3, and so on that never stops, with the
addition of aleph_0.
(Anything that helps to further confuse Tony...)
Brian Chandler
http://imaginatorium.org
.
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