
Re: Matheology � 258
Posted:
Apr 26, 2013 7:03 PM


"WM" <mueckenh@rz.fhaugsburg.de> wrote in message news:65d3b22af7314fd79dd6f3ed5fa25d33@y2g2000vbe.googlegroups.com... >On 24 Apr., 23:39, "AMiews" <inva...@invalid.com> wrote: >> "WM" <mueck...@rz.fhaugsburg.de> wrote in message >> >> news:5da061c6f643419da1064909c8b20388@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

