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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Does the number of nines increase?
Date: Tue, 9 Jul 2024 13:42:28 -0700
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On 7/9/2024 9:53 AM, WM wrote:
> Le 09/07/2024 à 16:35, Moebius a écrit :
>> Am 09.07.2024 um 15:23 schrieb joes:
>>> Am Tue, 09 Jul 2024 11:49:21 +0000 schrieb WM:
>>
>>>> many don't understand that ℵo unit fractions cannot occupy a distance
>>>> smaller than all positive distances. Can you?
>>
>>> What does this mean? It should read "smaller than ANY".
>>
>> Es bedeutet, dass Mückenheim (in diesem Kontext) nicht zwischen AxEy 
>> und EyAx unterscheiden kann.
> 
> That is nonsense. Either there is a first unit fraction or this is not 
> the case. 

There is a first unit fraction at 1/1. However, there is no last unit 
fraction... :^)



> If it is not the case, then NUF(x) increases by more than 1, 
> say by X, at that x where it is leaving 0. But then there must exist an 
> x occupied by more than one, namely by X, unit fractions. Contradiction.
> 
> No quantifier magic.
> 
> Regards, WM