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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, effectively)
Date: Thu, 2 Jan 2025 12:50:37 +0100
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On 01.01.2025 14:51, joes wrote:
> Am Tue, 31 Dec 2024 19:05:24 +0100 schrieb WM:

>> I don't stop but know that every FISON is finite as its name says and
>> covers at most 1 % of ℕ.
> Yes, you stop at some finite threshold.

Go farther. Find a FISON that is not below 1 %.
> 
>> You cannot find a natural number that isn't in a FISON. But there must
>> be more because FISONs cover less than 1 % of ℕ.
> No??? There are infinitely many of them, and together they form N.

Stupid belief. Every union of FISONs which stay below a certain 
threshold stays below that threshold.

Regards, WM