```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> 1/9That is the finite word representing the same as that word you wroteabove.> >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 iscalled aleph_0, then it is easy to prove that there are not more thanaleph_0 finite words.Regards, WM
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