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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary, effectively)
Date: Sun, 5 Jan 2025 07:47:31 -0500
Organization: i2pn2 (i2pn.org)
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On 1/5/25 5:31 AM, WM wrote:
> On 04.01.2025 11:59, joes wrote:
>> Am Sat, 04 Jan 2025 09:52:08 +0100 schrieb WM:
>>> On 04.01.2025 05:06, Richard Damon wrote:
>>>> On 1/3/25 12:15 PM, WM wrote:
>>>
>>>>> Every union of FISONs which stay below a certain threshold stays below
>>>>> that threshold.
>>>> Every union of a finite number of FISONs is just an admssion that you
>>>> can't do the actual union of *ALL* FISONs.
>>> For all FISONs:|ℕ \ {1, 2, 3, ..., n}| = ℵo.
>> But not for the union.
> 
> What should make the union larger than all FISONs?
> 
> Every union of FISONs which stay below a certain threshold stays belown 
> that threshold.
> 
> Regards, WM
> 

Because you never actually USED *ALL* FISONs, and don't understand the 
power that infinite sets have, because you are just proving your stupidity.