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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, effectively)
Date: Sun, 5 Jan 2025 11:58:39 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sun, 05 Jan 2025 11:40:58 +0100 schrieb WM:
> On 04.01.2025 14:17, Richard Damon wrote:
>> On 1/4/25 3:52 AM, WM wrote:
>>> 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.
>>> That means there is no exception.
>> Just like every natural number is finite,
>> but the set of *ALL* of them is infinite, each FISON is finite,
> Not only finite but below 1 % of |ℕ|.
That's a less sharp bound, as it is still infinite.

-- 
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.