On 3 Mai, 23:21, Dan <dan.ms.ch...@gmail.com> wrote: > > The refutation is that this: By definition all natural indices are > > covered with digits 1 in the list above. And more than all is not > > possible. > > Of course . The list uses all natural indices . But there are a lot of > real numbers that don't correspond to those indices : > 0.2 > 1/9 = 0.111111..... > and so on.
Finite expressions like 1/9 or "0.111111....." cannot occur in the course of a Cantor-argument.
> You can 'cover' the natural numbers with real numbers . You can't do > the reverse .
See § 260. An average mathematician should understand it.