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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Thu, 24 Oct 2024 12:41:26 -0700
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On 10/24/2024 6:49 AM, WM wrote:
> 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.

lol. The natural numbers are infinite, period... !

> 
> 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
> 
>