Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

WM formulated on Monday :

Yes, your nth term is the term common to all previous sets as members of the sequence. This final 'n' is always a member of the naturals. For infinite sets of naturals, there is no last element to be common to all previous sets, so it, the intersection, is empty.
 

and therefore also in the limit the sequences of endsegments and of intersections are identical.

 Says you, but you can't prove the conjecture.