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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?
Date: Fri, 04 Oct 2024 06:02:32 -0400
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on 10/4/2024, WM supposed :
> On 04.10.2024 10:22, Moebius wrote:
>> Am 04.10.2024 um 10:17 schrieb joes:
>>> Am Thu, 03 Oct 2024 20:20:52 +0200 schrieb WM:
>> 
>>>> If all fractions are separated real points on the real axis, then there
>>>> must be a first one.
>> 
>> Nope.
>> 
>> Hint: The harmonic series is divergent [at least in mathematics].
>
> Correct but irrelevant.

Because you say so?

> The sum of all natural numbers is larger than ω.

Wrong, it doesn't sum in the normal sense because it is not convergent. 
You could use the Zeta function for complex numbers and achieve -1/12 
as a 'sum' in that sense.

> Nevertheless ω-1 is the last natural number.

Because you say so? Explain what minus one means in reference to omega.