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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 14 Sep 2024 12:33:19 -0400
Organization: i2pn2 (i2pn.org)
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On 9/14/24 10:01 AM, WM wrote:
> On 14.09.2024 01:05, FromTheRafters wrote:
>> WM explained :
> 
>>> 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.
> 
> Two points are next to each other means that no point is between them.
> 
> Regards, WM
> 

And, since for ANY two points on the real number line, x, and y, the 
point (x+y)/2 is another real point between them, there are absolutely 
NO points on the real line next to each other.

Sorry, you are just making logic based on assumptions of false statements.