In article <f8f4c024-35d7-46da-8831-a89f04fc29e1@h17g2000yqe.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 17 Feb., 23:26, William Hughes <wpihug...@gmail.com> wrote: > > On Feb 17, 10:02 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > There is no d! > > > > There is no potentially infinite sequence, > > x, such that the nth FIS of x consists of > > n 1's > > > There is every FIS of the diagonal - up to every n. > Same holds for the lines of the list
If there is no list, but only a non-x then there is no "diagonal" ether. > > > > x is not the diagonal of the potentially > > infinite list > > > > 1000... > > 11000... > > 111000... > > ... > > > > ?!? > > There is for every n a line in the list > 1 > 12 > 123 > ... > 123...n > ... > > such that this line is coFIS with the diagonal d_1, ..., d_n.
The "diagonal" of what? Normally for your list, one would have d_1 = 1, d_2 = 12, d_3 = 123, etc. in which case, d_1, ..., d_n = 1,12,123,...,123...n.
and then no line after the first will be coFIS with any such sequence. > > Do you know of an n that contradicts this claim?
All except n - 1 contradict it. > > There is nothing more in the diagonal. Again you assert an actually > infinite d. That is an error.
