```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
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