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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: Wed, 16 Oct 2024 10:50:04 +0200
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On 16.10.2024 10:27, WM wrote:
> On 15.10.2024 02:00, Jim Burns wrote:
> 
>> So, what is that perfectly reasonable explanation?
> 
> There is a general rule not open to further discussion:
> When doubling natural numbers we obtain natural numbers which have not 
> been doubled.

CORRECTION: When doubling natural numbers we obtain even numbers which 
have not been doubled.

> In potential infinity we obtain more even natural numbers than have been 
> doubled.
> In actual infinity we double ℕ and obtain neither ℕ or a subset of ℕ.
> 
> Regards, WM