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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions?
Date: Fri, 13 Sep 2024 19:05:08 -0400
Organization: Peripheral Visions
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WM explained :
> On 13.09.2024 17:52, Richard Damon wrote:
>> On 9/13/24 11:41 AM, WM wrote:
>
>>> Between [0, 1] and (0, 1] there is nothing, there is not a spot or point 
>>> of the interval.
>>>
>> But that doesn't mean there is a lowest most point in (0, 1] as any point 
>> you might want to call it will have another point between  it and 0.
>
> I will not call any point but consider all points. There is no point smaller 
> than all points in the open interval but a smallest one. Only 0 is smaller 
> than all.
>> 
>> Note, I said between the point your THINK is the first, there is no such 
>> point, and thus you are agreeing to that fact.
>> 
>> You can only have a first point in the open interval if the interval has 
>> only a finite number of points,
>
> No, that is your big mistake. In the interval [0, 1] there is a point next to 
> 0 and a point next to 1, and infinitely many are beteen them.

Define 'next' in this context.