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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: The existence of dark numbers proved by the thinned out harmonic,
 series
Date: Tue, 18 Mar 2025 20:46:28 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Tue, 18 Mar 2025 16:41:41 +0100 schrieb WM:
> On 18.03.2025 16:14, FromTheRafters wrote:
>> 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, then there is a greatest one 
>> That is just your intuition making you think that. Try mathematical
>> thought.
> Apply it and explain how a fixed set can be well-ordered striving for
> omega but not reaching it.
Why shouldn't it? It's infinite.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.