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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Thu, 24 Oct 2024 16:24:20 +0200
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On 24.10.2024 15:59, joes wrote:
> Am Thu, 24 Oct 2024 15:49:48 +0200 schrieb WM:

>> The possibility of always even greater ones in natural numbers proves
>> potential infinity.
> You have it backwards. Surely the "complete" set should not be missing
> those greater numbers that the "potential" set includes.

The potentially infinite set does not include them. Then they would be 
doubled too.
> 
>> 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.)
> They have also been doubled, along with their doubles. The powers of 2 and
> their multiples form a subset of the naturals. The "size" of this set
> is omega, and 2w=w, regardless of "reality".

The complete set covers an interval. When its density is reduced its 
extension is increased.

Regards, WM


Regards, WM
>