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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 5 Oct 2024 21:33:21 +0200
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On 05.10.2024 20:12, Jim Burns wrote:
 > On 10/5/2024 5:43 AM, WM wrote:

 >> [In] many cases it is correct.
 >
 > "Many cases" is insufficient when
 > the argument requires "all cases".

My argument requires only one case, best demonstrated with endsegments 
E(n). The intersection of all *infinite* endsegments is infinite, 
because they all contain the same natural numbers which have not yet 
been eliminated by the process E(n+1) = E(n) \ {n}.

Regards, WM