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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
(extra-ordinary)
Date: Mon, 16 Dec 2024 11:49:00 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
Message-ID: <667b80630f56e3de0883e8e664cc6c6338315792@i2pn2.org>
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Am Mon, 16 Dec 2024 09:50:14 +0100 schrieb WM:
> On 15.12.2024 22:13, Richard Damon wrote:
>> On 12/15/24 1:57 PM, WM wrote:
>
>>> Dark numbers are required to empty ℕ by |ℕ \ {1, 2, 3, ...}| = 0. All
>>> definable numbers fail: ∀n ∈ ℕ_def: |ℕ \ {1, 2, 3, ..., n}| = ℵo.
>
>> And why do you need to do that?
> In order to show the existence of dark numbers.
It just shows the infinity of n. No natural is as large as N.
--
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.