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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)
Date: Mon, 30 Dec 2024 09:40:11 +0100
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On 29.12.2024 23:45, Moebius wrote:
> Am 29.12.2024 um 23:15 schrieb Chris M. Thomasson:
>> On 12/29/2024 3:09 AM, WM wrote:
> 
>>> My theorem: Every union of FISONs which stay below a certain 
>>> threshold stays below that threshold.
> 
> Your "theorem" is false, Mückenheim. There's a simple counter example:
> 
> For each and every FISON F: F c_strict (WM: "below") IN. But the union 
> of all FISONs is not c_strict (WM: "below") IN but = IN.

That is not a proof but a silly claim. Believers of such garbage should 
be exorcized from public discussions about mathematics.

FISONs do not grow by unioning them. All FISONs and their unions stay 
below 1 % of ℕ.

Proof: Every FISON that is multiplied by 100 remains a FISON that can be 
multiplied by 100 without changing this property.

Regards, WM