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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 15:49:16 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <c98febf86c866fab791406bc6769aef26a7bd29d@i2pn2.org>
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Am Mon, 09 Sep 2024 17:32:11 +0200 schrieb WM:
> On 09.09.2024 17:15, joes wrote:
>> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM:
> 
>>> You claim that ℵo unit fractions are smaller than ANY x > 0.
>> Yes. Not all the same ones of course.
> My question concerns same unit fractions only. Do ℵo unit fractions
> exist smaller than any x > 0? If not, how many same unit fractions exist
> smaller than any x > 0? How many are smalleror equal than all unit
> fractions?
That is a different question (quantifier order). Of course no unit
fraction is smaller than every other unit fraction.
(I don’t understand the „same” question.)

-- 
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.