Date: Apr 27, 2013 4:08 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 258

On 27 Apr., 01:03, "AMiews" <inva...@invalid.com> wrote:
> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
> news:65d3b22a-f731-4fd7-9dd6-f3ed5fa25d33@y2g2000vbe.googlegroups.com...
>

> >On 24 Apr., 23:39, "AMiews" <inva...@invalid.com> wrote:
> >> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
> >>news:5da061c6-f643-419d-a106-4909c8b20388@a34g2000vbt.googlegroups.com...
> >> Matheology § 258

>
> >> > Irrationals are not real
> >> > {{ - at least they have no real strings of digits,

>
> >> they are represented by strings of real digits,
> >Nobody can read, write or use an infinite string.
>
> your opinion.
>
>     0.1111.......  is an infinite string,


No, it fits in a single line and contains less than 20 symbols.

> however it is also represented by
> 1/9


That is the finite word representing the same as that word you wrote
above.

> >No string of digits, without a finite formula to generate it, defines
> >an irrational number.

>
> wrong, what is solution of equation that is equal to its derivative ?


You just wrote a finite formula.
>
>
>

> >> > and only countably many of them can be defined in a language that can
> >> > be
> >> > spoken, learned and understood}}.

>
> >> have you counted them ? How many are there ?
>
> >Not more than aleph_0
>
> so you have not counted them, and do not know how many their are.  Isnt that
> the same as putting a bound on numbers as above?


There is no bound. But if someone claims that smallest infinity is
called aleph_0, then it is easy to prove that there are not more than
aleph_0 finite words.

Regards, WM