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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: Mon, 9 Sep 2024 11:46:55 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <d4b86bde5086f0a2a4a5911ef002f3065b275f52@i2pn2.org>
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Am Mon, 09 Sep 2024 12:22:21 +0200 schrieb WM:
> On 08.09.2024 22:29, Moebius wrote:
>> Am 08.09.2024 um 22:25 schrieb joes:
>>> Am Sun, 08 Sep 2024 21:48:11 +0200 schrieb WM:
>>>> On 07.09.2024 16:49, Richard Damon wrote:
>>>>
>>>>> Select any gap between one of the first ℵo unit fractions and its
>>>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into
>>>> the interval (0, x), independent of the actual size.
>>> Why?
> ℵo unit fractions cannot fit into one of the ℵo intervals between two of
> them, because ℵo unit fractions occupy ℵo intervals.
What? It’s about the size, not the number of intervals.

-- 
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.