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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Thu, 24 Oct 2024 15:49:48 +0200
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On 24.10.2024 14:10, joes wrote:
> Am Thu, 24 Oct 2024 12:46:05 +0200 schrieb WM:
>> On 23.10.2024 20:59, joes wrote:
>>> Am Wed, 23 Oct 2024 20:03:48 +0200 schrieb WM:
>>>> On 23.10.2024 13:37, Richard Damon wrote:
>>>>
>>>>> Your complete set of the Natural Numbers is not complete.
>>>> I take what is given: the complete set of natural numbers. I double it
>>>> an get, according to mathematics 2n > n greater numbers than were
>>>> given to me.
>>> Every single number is greater than its original, but for every number
>>> in the mapped set there is a greater one in the former set.
>> Impossible since all have been mapped, even the greater ones.
> Yes, and those are mapped to even greater ones!

The possibility of always even greater ones in natural numbers proves 
potential infinity.

The greater ones have not been doubled because doubling of a complete 
set creates a set covering a greater interval than covered before. (Half 
the density implies twice the extension.)

Regards, WM