> 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. You can 'cover' the natural numbers with real numbers . You can't do the reverse .