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

On 12/29/24 5:31 PM, WM wrote:

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
 

But what does that prove?
The finite numbers are finite, and that is it.
Your logic just can't handle "infinite" things, even though you may try.
Your trying just shows you don't even understand how your own logic works, because you are just to ignorant.