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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Fri, 30 Aug 2024 15:17:51 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 30 Aug 2024 12:59:47 +0000 schrieb WM:
> Le 30/08/2024 à 12:13, Moebius a écrit :
>> Am 30.08.2024 um 09:21 schrieb joes:
> 
>>> Thus: The interval (0, x) contains finitely many unit fractions only
>>> for infinitesimal x.
>> Actually, it either contains NO unit fractions (if x = 0 or x is
>> infinitesimal but > 0) or it contains infinitely many (ℵo) unit
>> fractions.
> That contradicts the fact that ℵo unit fractions occupy an interval that
> can be reduced.
What do you mean by „reducing”? That the number of unit fractions
stays infinite when cutting off the right?

>> So no matter if x > 0 is infinitesimal or not: NUF(x) =/= 1.
> Are there two unit fractions possible lessorequal than all unit
> fractions?
-- 
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.