Date: Apr 1, 2013 11:05 AM
Author: William Hughes
Subject: Re: Matheology § 233
On Mar 27, 8:55 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> Matheology § 233
> The set of all termination decimals is a subset of Q. If the set of
> all terminating decimals of the unit interval is arranged as set of
> all terminating paths of the decimal tree,
It is, of course, impossible to write this out
(there number of terminating decimals is infinite).
> unavoidably all irrationals
> are written as infinite paths too. But we know that it is impossible
> to write the path of even one single irrational number, let alone of
> several or infinitely many or uncountably many.
Correct, it is impossible.