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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary, effectively)
Date: Sun, 29 Dec 2024 23:31:46 +0100
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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