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

On 02.12.2024 16:46, FromTheRafters wrote:

WM wrote :

E(1), E(2), E(3), ...
and
E(1), E(1)∩E(2), E(1)∩E(2)∩E(3), ...
are identical for every n and in the limit because
E(1)∩E(2)∩...∩E(n) = E(n).

 Non sequitur. That which is true for finite sequences is not necessarily true for infinite sequences.

As easily can be obtaied from the above it is necessarily true that up to every term and therefore also in the limit the sequences of endsegments and of intersections are identical. Every contrary opinion is matheology, outside of mathematics.
Regards, WM