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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Wed, 21 Aug 2024 07:26:09 -0400
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On 8/21/24 6:47 AM, WM wrote:
> Le 21/08/2024 à 02:16, Moebius a écrit :
>> Am 20.08.2024 um 22:05 schrieb Jim Burns:
> 
>>>> Dark unit fractions cannot be defined.
>>
>> Right. Since there are no such unit fractions. Simple as that.
> 
> If all are existing, then there are dark ones.
> 
> Regards, WM

But the dark ones are not recipricals of Natural Numbers, because those 
aren't dark.

These "Dark Numbers" seem to live in the trans-finite gaps between 0 and 
finite x > 0, and have the aleph_0 values that NUF(x) consider to be 
unit fractions, but are not reciprocal of Natural Numbers, but of some 
trans-finite values greater than the finite natural numbers but below Omega.

Of course, since you mathematics can't actually handle the Natural 
Numbers, it can't handle the mathematic of these dark numbers.

You only think your dark numbers are part of the Natual Numbers, because 
your math can handle that full of the Natual Numbers.