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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Tue, 10 Sep 2024 21:30:26 +0200
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Am 10.09.2024 um 20:38 schrieb Chris M. Thomasson:
> On 9/10/2024 11:35 AM, Chris M. Thomasson wrote:
>> On 9/9/2024 5:32 PM, Moebius wrote:
>>> Am 10.09.2024 um 01:08 schrieb Chris M. Thomasson:
>>>
>>>> Take the gap between:
>>>>
>>>> 1/1 and 1/2. There are infinitely many unit fractions that are small 
>>>> enough to fit within that gap.
>>>
>>> Oh, really?! Could you name (just) o n e? :-)
>>
>> 1/4?
> 
> 1/4 is between 1/1 and 1/2:
> 
> 1/1---->1/4---->1/2

lol. If you say so. :-)

> So, it's not _strict_ 

Actually, it's not between 1/2 and 1/1 at all (if we presuppose the 
usual order < on the rational numbers).