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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Wed, 2 Oct 2024 13:54:42 +0200
Message-ID: <vdjca1$11itj$1@solani.org>
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On 02.10.2024 13:30, FromTheRafters wrote:
> WM pretended :

>> No. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 does not prove that n+1 is a natural 
>> number. Note the infinite sequence
>> 1, 2, 3, ..., ω-2, ω-1, ω.
> 
> Omega minus one or two is undefined

Yes in so far as these natural numbers are dark and cannot be reached by 
a FISON.

> and n plus one closure is axiomatic.

But it is in contradiction with NUF(x) passing 1. Do you understand that 
NUF(x) can nowhere increase by more than 1?

Regards, WM