On 10 Jan., 12:11, Zuhair <zaljo...@gmail.com> wrote:
> > The anti-diagonal up to digit n must have a double up to digit n. > > Of course, because the list is defined as the list of ALL terminating > decimal representations. That is correct and natural and Cantor's > arguments Agrees with that completely.
Can you quote the relevant paragraph? > > > Result: The diagonal cannot be an entry of the list. > > the list > ONLY contains TERMINATING decimal representations, while the diagonal > and the anti-diagonal are non terminating decimal representations
I do not know what you worship . Every finite initial segment of the anti-diagonal is an entry of the list. I do not know what else can belong to the anti-diagonal. But certainly this additional thing cannot be used to distinguish it from anything.
> of course the diagonal and the anti-diagonal cannot be > different (at a finite position) from all entries of the list, because > the list is of ALL finite initial segments of reals, Cantor agrees to > that,