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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, 29 Dec 2024 07:27:29 -0500
Organization: i2pn2 (i2pn.org)
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On 12/29/24 5:39 AM, WM wrote:
> On 28.12.2024 18:48, joes wrote:
>> Am Sat, 28 Dec 2024 17:50:49 +0100 schrieb WM:
> 
>>> A good example is the set of FISONs. Every FISON contains only a
>>> negligible quantity of natural numbers. A generous estimation is: Every
>>> FISON contains less than 1 % of all natural numbers. There is no FISON
>>> that contains more than 1 %. Therefore the union of all FISONs contains
>>> less than 1 % of all natural numbers. Outside of the union of FISONs are
>>> almost all natural numbers.
>> A relative size is useless because it is still exactly as infinite,
>> i.e. countable.
> 
> A relative size is very useful in order to correct the fantasy claim 
> that the union of all FISONs covers the infinite gap between all FISONs 
> and ω.
> 
> Regards, WM

Except that for infinite sets, if they have a finite "ratio" they are 
the same size.

That is just one property of INFINITE sets, that you finite size logic 
can't handle with.

Sorry, you are just ADMITTING to your ignorance.