Re: Cantor K.O.'d -- again!

From: Phil Carmody (thefatphil_demunged_at_yahoo.co.uk)
Date: 01/07/05 

Date: 07 Jan 2005 11:06:39 +0200

Matt Gutting <tchrmatt@yahoo.com> writes:
> Mark Adkins wrote:
>
> <major snip>
>
> > Here we are at the 1,013_th stage. The diagonal is identical,
> > in both content and length, to the 1,013_th list member.
> > Goodness, this is boring! When *will* the diagonal become
> > infinite, thus distinguishing itself from the list members, all
> > of which must remain finite? Hmmm...that's a toughie. The
> > Cantorists would probably answer: "When the list is completed".
> > We shall see.
> > Meanwhile, *how* can the diagonal ever become infinite, since at
> > each stage n the diagonal is identical to the n_th list member,
> > and every possible n is a finite natural number?
>
> Would you mind explicating the meaning of this phrase "to become infinite"?

Well, Duh! It's the same way that 1/n becomes zero. Get with the program already.

Phil 

-- 
The gun is good. The penis is evil... Go forth and kill.

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