Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

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.

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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.