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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Mon, 9 Sep 2024 12:19:56 +0200
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On 08.09.2024 22:34, Python wrote:
> Le 08/09/2024 à 21:28, Crank Mückenheim, aka WM a écrit :
>> On 07.09.2024 16:05, Python wrote:
>>> Le 07/09/2024 à 15:03, WM a écrit :
>>
>>>> Stop that nonsense. ℵo unit fractions cannot fit into every interval 
>>>> (0, x). 
>>>
>>> Of course they can.
>>
>> Select any gap between one of the first ℵo unit fractions and its 
>> neighbour. Call its size x. 
> 
> x = 1/k - 1/(k+1) = 1/[k*(k+1)] > 0
> 
>> Then ℵo unit fractions cannot fit into the interval (0, x), 
>> independent of the actual size.
> 
> It can and it does

Nonsense. ℵo unit fractions cannot fit into one of the ℵo intervals 
between two of them.

Regards, WM