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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 10:55:31 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 04 Oct 2024 11:56:44 +0200 schrieb WM:
> On 04.10.2024 11:00, joes wrote:
>> Am Thu, 03 Oct 2024 20:34:20 +0200 schrieb WM:
>>> On 03.10.2024 01:03, Richard Damon wrote:
>>>> On 10/2/24 7:57 AM, WM wrote:
>>>
>>>>> Of course all gaps between unit fractions are made of more than
>>>>> finitely many points. I never denied that.
>>>> But that also means that no point are "next to" each other.
>>> Therefore NUF can increase at most by 1 at every real point.
>>>>> Try to learn the basics and to understand ∀n ∈ ℕ: 1/n - 1/(n+1) > 0.
>>>> Which means that for all n that are in the Natural numbers, for the
>>>> unit fraction  1/n, theree DOES EXIST another unit fraction 1/(n+1)
>>>> that is smaller than it.
>>> That is true for all visible and most dark numbers but not for all.
>> What is the distance between the last natural and its successor?
> Unknown.
Trick question, it has none (or it is infinite).

-- 
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.