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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Mon, 28 Oct 2024 16:22:20 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <vfodnr$3qjq5$9@i2pn2.org>
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Am Thu, 24 Oct 2024 16:24:20 +0200 schrieb WM:
> 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.
Exactly, they *are* doubled.

>>> 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.
The interval is and stays infinite.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.