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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Mon, 9 Sep 2024 18:32:18 +0200
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Am 09.09.2024 um 18:02 schrieb joes:
> Am Mon, 09 Sep 2024 17:08:49 +0200 schrieb WM:

>> The quantifier order related to the problem is this: NUF(x) = ℵo means:
>> There exist ℵo unit fractions smaller than any x > 0.

Nein, Du Spinner (WM)!

NUF(x) = ℵo JUST means: There exist (exactly) ℵo unit fractions smaller 
than x.

Hint:

Def: NUF(x) := card({u e {1/n : n e IN} : u < x})     (x e IR).