In article <b4412a8d-c10e-481a-89dc-a7ffa672f3ba@z10g2000yqb.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 16 Jun., 00:13, "K_h" <KHol...@SX729.com> wrote: > > > > No one item on the list contains pi in its entirety. > > > > True, there is no entry for pi, in its entirety, on the list > > but all of the digits of pi are there along the diagonal. > > By induction we prove: There is no initial segment of the diagonal > that is not as a line in the list. And there is no part of the > diagonal that is not in one single line of the list.
Which, while true, is irrelevant to any of the issues under discussion.
If one has any function from N ONto an arbitrary set, S, of real numbers, then there are countably many real numbers not members of S which can be constructed from the function.
