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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: Fri, 3 Jan 2025 09:59:02 +0100
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On 02.01.2025 20:47, Richard Damon wrote:
> On 1/2/25 12:23 PM, WM wrote:
>> On 02.01.2025 14:25, Richard Damon wrote:
>>> On 1/2/25 6:40 AM, WM wrote:
>>
>>>> Every union of FISONs including them all which stay below a certain 
>>>> threshold stays below that threshold. Every FISON stays below 1 % of ℕ.
>>>> What can't you understand?
>>
>>> No, becuase "all which stay below a certain threshol" is not EVERY 
>>> FISON.
>>
>> Which one is more than 1 % of ℵ₀?
> 
> There isn't one, but anytime you CHOSE what you limit is, I can go past it.

That is the property of potential infinity. But it does not contradict 
the boundary 1 % of ℵ₀.

>>> When you actually take the union of ALL that infinite set of FISONs, 
>>> you will get the full infinite set of N.
>>
>> Stupid belief. Which FISON is more than 1 % of ℵ₀?
>>
> Which isn't a valid question,

It is a valid question and proved by the fact that every FISON 
multiplied by 100 is less than ℵ₀.

Regards, WM