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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 21 Oct 2024 08:21:31 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Mon, 21 Oct 2024 10:14:07 +0200 schrieb WM:
> On 20.10.2024 23:00, FromTheRafters wrote:
>> WM formulated the question :
> 
> 
>>> Nevertheless 2n is not in the set {1, ..., n}.
>> Neither is n+1, what's your point?
> When doubling numbers, their distance increases in positive direction,
> hence larger numbers are in the image than in the range.
> If the range was complete, the image shows that the range was not
> complete.
If the range really is complete, it needs to be infinite, so it can
include the larger numbers. The image is never bigger than omega.

-- 
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.