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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 13 Sep 2024 20:05:59 +0200
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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.

Regards, WM