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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sun, 15 Sep 2024 21:07:41 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sun, 15 Sep 2024 21:52:30 +0200 schrieb WM:
> On 14.09.2024 18:33, Richard Damon wrote:
>> On 9/14/24 10:01 AM, WM wrote:
> 
>>> Two points are next to each other means that no point is between them.
>> 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,
> Why don't you start with (x+y)/2? Or better with the end of the
> sequence? In actual infinity you could.
Sure, inbetween (x+y)/2 and x is (3x+y)/4. There is no end.

>> there are absolutely NO points on the real line next to each other.
> No definable points, to be precise. If there is no point next to 0 then
> there is a gap. I do not accept gaps on the real line.
I.e. „neighbouring” points can’t be defined. There are no gaps.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.