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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: The existence of dark numbers proved by the thinned out harmonic, series
Date: Tue, 18 Mar 2025 11:14:42 -0400
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After serious thinking WM wrote :
> On 18.03.2025 13:18, Alan Mackenzie wrote:
>> WM <wolfgang.mueckenheim@tha.de> wrote:
>
>>> All elements of ℕ are there. That is the assumption. If no greatest can
>>> be identified, then the reason are dark numbers.
>> 
>> No, the reason is that there is no greatest element.
>
> How can that be realizied? If all are there and all are smaller than omega, 
> tzen there is a greatest one

That is just your intuition making you think that. Try mathematical 
thought.