On 13 Jan., 13:15, Zuhair <zaljo...@gmail.com> wrote:
> What mean nothing more than saying that we have Countably many FINITE > paths
Yes, and it is not intuitive nor needs it any formalization to recognize that everything that happens in Cantor-lists happens withing finite paths (or sequences of digits). It is absoluteley impossible that something happens elsewhere! And if a list contains all possible finite paths (which is possible as they are countable) then Cantor's "proof" proves the uncountability of a countable set.
Note again: everything that happens in a Cantor-list happens withing finite paths or finite initial segments of the anti-diagonal.
And please do me a favour and stop parroting of uncountable sets unless you can explain how something can happen *after* all finite initial segments.