
Re: Matheology § 258
Posted:
Apr 27, 2013 4:08 AM


On 27 Apr., 01:03, "AMiews" <inva...@invalid.com> wrote: > "WM" <mueck...@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 > >> > {{  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 > 1/9
That is the finite word representing the same as that word you wrote above.
> >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 is called aleph_0, then it is easy to prove that there are not more than aleph_0 finite words.
Regards, WM

