Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
mueckenh@rz.fh-augsburg.de

Posts: 15,737
Registered: 1/29/05
Re: Matheology 203
Posted: Feb 7, 2013 3:11 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.