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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Mon, 7 Oct 2024 11:00:17 +0200
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On 06.10.2024 19:26, Richard Damon wrote:

> Nope, Set Theory can work on potential infinity.

"Should we briefly characterize the new view of the infinite introduced 
by Cantor, we could certainly say: In analysis we have to deal only with 
the infinitely small and the infinitely large as a limit-notion, as 
something becoming, emerging, produced, i.e., as we put it, with the 
potential infinite. But this is not the proper infinite. That we have 
for instance when we consider the entirety of the numbers 1, 2, 3, 4, 
.... itself as a completed unit, or the points of a line as an entirety 
of things which is completely available. That sort of infinity is named 
actual infinite." [D. Hilbert: "Über das Unendliche", Mathematische 
Annalen 95 (1925) p. 167]

Regards, WM