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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
Date: Wed, 30 Oct 2024 11:43:26 -0400
Organization: Peripheral Visions
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on 10/30/2024, WM supposed :
> On 30.10.2024 13:57, FromTheRafters wrote:
>> WM explained :
>
>>> NUF(0) = 0, NUF(1) = ℵo. Therefore NUF must grow but cannot grow by more 
>>> than 1 at any point x of the real axis.
>> 
>> The number of unit fractions less than x is always aleph_zero for positive 
>> x.
>
> Believe what you like without foundation.
> If ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 is true, the NUF(x) grows in steps of not more 
> than 1.

Wrong.