WM schrieb: > On 11 Jun., 14:13, Rainer Rosenthal <r.rosent...@web.de> wrote: >> WM wrote: >>> My proof rests upon the fact that after the set of all finite paths of >>> the form 0.1, 0.11, 0.111, ... has been constructed, there is no >>> chance to construct the path 0.111... in addition. >> Why not start with path 0.111... and then add those other paths >> 0.1, 0.11, 0.111, ...? > > [Many lines snipped, because I felt they didn't get to the point I > was trying to ask] > However, your contribution to this problem is of high value and I > appreciate it very much.
Thank you, but it seems as if I wasn't clear in my question. Didn't you say: "If I am going to enumerate the real numbers in such and such a way then there will be some of them not in my list"?
But then, that doesn't prove all too much, because it's obvious that there are many ways of not counting the reals. The point is that there is no way of counting the reals.