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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sun, 29 Dec 2024 18:50:23 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sun, 29 Dec 2024 18:56:23 +0100 schrieb WM:
> On 29.12.2024 15:43, joes wrote:
>> Am Sun, 29 Dec 2024 12:05:26 +0100 schrieb WM:
>>> On 28.12.2024 20:35, joes wrote:
>>>> Am Sat, 28 Dec 2024 14:58:50 +0100 schrieb WM:
> 
>>>>> Therefore the union of all of them contains less than half of all
>>>>> natural numbers.
>>>> Worng.
>>> My theorem: If all definable numbers (FISONs) stay below a certain
>>> threshold, then every union of those FISONs stays below that
>>> threshold.
>> The infinite union doesn’t.
> The union of all FISONs below a certain threshold, namely a threshold
> between which and ω there exist ℵ₀ natnumbers, remains below this very
> threshold.
No such finite union equals N.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.