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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)
Date: Thu, 2 Jan 2025 14:47:38 -0500
Organization: i2pn2 (i2pn.org)
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On 1/2/25 12:28 PM, WM wrote:
> 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.

And there are an INFINITE set of FISONs, so you can't union them ALL 
with a one by one process in a finite logic.

CHECKMATE.

> Hard to understand for people without extraodinary mathematical 
> capabilities.
> 

No, YOU can't understand that your logic just blew itself up to 
smithereens on the inconsistancies of finite logic on infinite sets.

> 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 you arguement just fails.

> 
> Regards, WM
> 

You are just proving your utter stupidity.