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Topic: Matheology 203
Replies: 16   Last Post: Feb 7, 2013 8:06 AM

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Posts: 18,076
Registered: 1/29/05
Re: Matheology 203
Posted: Feb 7, 2013 3:11 AM
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On 7 Feb., 08:53, Virgil <> wrote:
> In article
> <>,
>  WM <> wrote:

> > On 7 Feb., 05:21, fom <> wrote:
> > > Or as Virgil would write
> > in a very lucid moment:
> > > What Cantor proved was that no list of accessible real numbers
> > > (accessible because listable) can include all accessible numbers,
> > > because any such list itself proves the existence of numbers not listed.

> > That is, Cantor proved the countable set of accessible numbers being
> > uncoutable.

> That may well be WM's misunderstanding but it is not an understanding.
> A number being accessible does means that it can appear in some list,
> but does not at all mean that all accessible numbers can appear together
> in a single list.

All elements of countable sets can be counted by definition, i.e.,
they can appear in a list.

Regards, WM

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