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