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