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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? (infinitary)
Date: Sun, 27 Oct 2024 18:08:32 +0100
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Am 27.10.2024 um 17:12 schrieb WM:
> Am 27.10.2024 um 14:54 schrieb Moebius:

>> Hint: For each and every x e IR, x <= 0: NUF(x) = 0
>> and for each and every x e IR, x > 0: NUF(x) = aleph_0.
> 
> That [...] would require that [for each and every x > 0] 
> [there] exist [ℵo unit fractions] between 0 and x

Exactly!