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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 15:14:45 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Mon, 09 Sep 2024 17:01:35 +0200 schrieb WM:
> On 09.09.2024 13:47, Richard Damon wrote:
>> On 9/9/24 6:31 AM, WM wrote:
> 
>>> And all gaps are occupied by the unit fractions. Hence every gap is
>>> too small.
>> But there is always room at the bottom, where the gaps keep getting
>> smaller
> They all are present from the start. I simply choose a gap that is too
> small to contain ℵo unit fractions.
How do you do that?

>> How can a claim a set of values less then a SPECIFIC NUMBER if I don't
>> have the number?
> I claim that all unit fractions are existing as real points of the real
> line. Therefore there is a first one. NUF(x) cannot increase without
> passing 1 when real points are counted. Your ℵo points cannot exist
> without including 1, 2, 3 first points.
Those first points are on the right, obviously.

-- 
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.