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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: Fri, 3 Jan 2025 12:28:24 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 03 Jan 2025 09:47:37 +0100 schrieb WM:
> On 02.01.2025 20:47, Richard Damon wrote:
>> On 1/2/25 12:28 PM, WM wrote:
> 
>>> Hint first try to understand 50 %, then 10 %, then 1 %, then 1 ppm,
>>> then 1 ppb, then 1/10^10^10^10^10. And then go on. Then you understand
>>> the properties of FISONs.
>> And ALL finite fractional ratios of Aleph_0, are Aleph_0, and thus
>> infinite so
> the set of FISONs covers less than any fractional ratio of ℕ. This is
> true for their union too. Otherwise there must be a first FISON going
> beyond this boundary.
No, the (infinite) set of all FISONs does cover N by dint of being
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.