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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 6 Sep 2024 22:01:07 -0400
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On 9/6/24 4:40 PM, WM wrote:
> On 06.09.2024 14:38, joes wrote:
>> Am Fri, 06 Sep 2024 14:12:29 +0200 schrieb WM:
> 
>>>> 0 < ... < ⅟⌊4+⅟x⌋ < ⅟⌊3+⅟x⌋ < ⅟⌊2+⅟x⌋ < ⅟⌊1+⅟x⌋ < x
>>> 0 is smaller than all that. Therefore there is no increase at 0.
>>> x is larger than all that. Therefore your x is not the least one
>>> posiible.
>> Therefore no x can be the least unit fraction.
> 
> No definable x. No epsilon.
> 
> Regards, WM
> 

Which means no "Unit Fraction" as the reciprical of a Natural Number, 
since they are all definable.

Thus, your NUF must also be counting some sub-finite values, or it just 
doesn't exist.