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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, 14 Oct 2024 15:34:59 +0200
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On 14.10.2024 14:00, joes wrote:
> Am Mon, 14 Oct 2024 12:35:56 +0200 schrieb WM:

>> False. n*2 > n for all numbers, even for infinite numbers.
> Of course, and if the infinity is actual, they must already be in there.

They cannot be there because doubling all elements of a set of naturals 
doubles the space covered on the number line.

Regards, WM