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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)
Date: Thu, 2 Jan 2025 18:28:55 +0100
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On 02.01.2025 14:26, Richard Damon wrote:
> On 1/2/25 6:52 AM, WM wrote:
>> On 01.01.2025 15:47, FromTheRafters wrote:
>>> WM wrote :
>>
>>>> The collection of definable natural numbers (FISONs) is closed under 
>>>> multiplication
>>>
>>> How can that be?
>>
>> Potential infinity.

> Whicn means it never ends, and doesn't have a highest member.

So it is. Nevertheless no FISON is more than 1 % of ℵ₀.
Hard to understand for people without extraodinary mathematical 
capabilities.

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.

Regards, WM