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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: Sat, 12 Oct 2024 15:32:25 +0200
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On 10.10.2024 21:48, joes wrote:
> Am Wed, 09 Oct 2024 18:47:39 +0200 schrieb WM:

>> Numbers multiplied by 2 do not remain unchanged. That is not intuition
>> but mathematics.
> They do, however, remain natural.

They do not remain the same set as before. They cover more of the real 
line. If they all are natnumbers, then there are more than at the 
outset. That means potential infinity. If there are not more natumbers 
than at the outset, then infinite numbers have been created. There is no 
way to avoid one of these results.

Regards, WM