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Topic: Matheology § 258
Replies: 29   Last Post: Apr 27, 2013 7:43 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 258
Posted: Apr 27, 2013 4:08 AM

On 27 Apr., 01:03, "AMiews" <inva...@invalid.com> wrote:
> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
>

> >On 24 Apr., 23:39, "AMiews" <inva...@invalid.com> wrote:
> >> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
> >> 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.
>
>
>     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

Date Subject Author
4/23/13 mueckenh@rz.fh-augsburg.de
4/23/13 Virgil
4/24/13 Scott Berg
4/24/13 Virgil
4/25/13 mueckenh@rz.fh-augsburg.de
4/25/13 fom
4/25/13 mueckenh@rz.fh-augsburg.de
4/25/13 YBM
4/25/13 mueckenh@rz.fh-augsburg.de
4/25/13 Virgil
4/25/13 Virgil
4/25/13 fom
4/25/13 fom
4/26/13 Virgil
4/25/13 Virgil
4/25/13 Virgil
4/25/13 Virgil
4/25/13 fom
4/26/13 Virgil
4/26/13 Scott Berg
4/27/13 mueckenh@rz.fh-augsburg.de
4/27/13 Virgil
4/27/13 mueckenh@rz.fh-augsburg.de
4/27/13 Scott Berg
4/27/13 Virgil
4/27/13 mueckenh@rz.fh-augsburg.de
4/27/13 Virgil
4/27/13 ross.finlayson@gmail.com
4/27/13 Virgil
4/24/13 FredJeffries@gmail.com