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

On 29.12.2024 22:27, joes wrote:

Am Sun, 29 Dec 2024 11:39:22 +0100 schrieb WM:

A relative size is very useful in order to correct the fantasy claim
that the union of all FISONs covers the infinite gap between all FISONs
and ω.

There is no gap.

If all FISONs are finite and followed by infinite endsegments, then there is an infinite gap.
My theorem: Every union of FISONs which stay below a certain threshold stays below that threshold.
Find a counterexample. Don't claim it but prove it. Fail.
Regards, WM