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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 28 Sep 2024 22:11:27 +0200
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Am 28.09.2024 um 06:20 schrieb Chris M. Thomasson:
> On 9/27/2024 11:42 AM, WM wrote:
>> On 25.09.2024 18:39, joes wrote:
>>> Am Wed, 25 Sep 2024 17:51:56 +0200 schrieb WM:
>>
>>>> NUF(x) distinguishes all points.
>>> How does it distinguish dark points?
>>
>> By our mathematical knowledge about ∀n ∈ ℕ: 1/n - 1/(n+1) > 0
>>
>>>> NUF increases. At no point it can increase by more than 1.
>>> Right, and there is no point "next to" 0
>>
>> There is a unit fraction next to 0. [WM]

No, there isn't. If u is a unit fraction, then u' = 1/(1/u + 1) is a 
unit fraction such that 0 < u' < u.

> Next as in closer and closer forevermore? ;^)