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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Tue, 20 Aug 2024 17:25:39 -0400
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WM explained :
> Le 20/08/2024 � 12:31, FromTheRafters a �crit :
>> on 8/19/2024, Richard Damon supposed :
>
>>> You can not derive a first number > 0 in any of the Number System that we 
>>> have been talking about, Unit Fractions, Rationals or Reals, so you can't 
>>> claim it to exist.
>> 
>> Not in their natural ordering.
>
> Dark numbers have no discernible order. It is impossible to find the smallest 
> unit fraction or the next one or the next one. It is only possible to prove 
> that NUF(x) grows by 1 at every unit fraction. It starts from 0.
>
> Regards, WM

Normally, the unit fractions are listed in the sequence one over one, 
one over two, one over three etcetera. There is a first but no last. 
Now you have started from the wrong 'end' and are metaphorically 
pushing a rope.