|
|
Re: Matheology 203
Posted:
Feb 7, 2013 3:11 AM
|
|
On 7 Feb., 08:53, Virgil <vir...@ligriv.com> wrote:
> In article
> <457d0429-33c1-46ad-9151-4f5d9dc96...@fv9g2000vbb.googlegroups.com>,
>
> WM <mueck...@rz.fh-augsburg.de> wrote:
> > On 7 Feb., 05:21, fom <fomJ...@nyms.net> 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
|
|
