Date: Apr 26, 2013 7:03 PM
Author: Scott Berg
Subject: Re: Matheology � 258


"WM" <mueckenh@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
>>
>> e is a real number, so is Pi.
>>

>> > {{ - 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, however it is also represented by
1/9

>Real numbers are represented by *finite names* that allow to
>*calculate a rational approximation up to any desired digit*. This is
>generally called a potentially infinite sequence (of approximations)
>and often mistaken as an infinite sequence. But it is not the same as
>an actually infinite string that defines, by sequence of digits, a
>real number without doubt.


easily handled by assuming an error ball and show it aproches 0

>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 ?


>
>> > 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?

>Regards, WM