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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: Fri, 4 Oct 2024 08:17:41 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Thu, 03 Oct 2024 20:20:52 +0200 schrieb WM:
> On 02.10.2024 21:44, FromTheRafters wrote:
>> WM formulated the question :
> 
>>> But it is in contradiction with NUF(x) passing 1. Do you understand
>>> that NUF(x) can nowhere increase by more than 1?
>> Nowhere but in your mind is that 'passing' a necessity.
> If all fractions are separated real points on the real axis, then there
> must be a first one.
No, they get denser toward zero, because you can always fit points 
inbetween.

-- 
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.