Re: Cantor K.O.'d -- again!
From: Matt Gutting (tchrmatt_at_yahoo.com)
Date: 01/07/05
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Date: Thu, 06 Jan 2005 21:52:22 -0500
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"?
Matt
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