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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
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 22:38:26 +0200
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Am 10.09.2024 um 22:33 schrieb Chris M. Thomasson:
> On 9/10/2024 12:30 PM, Moebius wrote:
>> 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).
> 
> The LENGTH OF THE gap from 1/1 to 1/2 is 1/2 so there are infinity many unit fractions 
> that are smaller than 1/2.

MAN, YOUR ORIGINAL CLAIM WAS: "1/4 is between 1/1 and 1/2."

THIS CLAIM IS WRONG. (WRONG! WORONG!)

FUCK YOUR "GAP".

Please don't do the Mückenheim her. One crank is enough.