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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sun, 12 Jan 2025 20:39:31 +0100
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On 12.01.2025 20:33, Jim Burns wrote:
> On 1/12/2025 10:54 AM, WM wrote:

>> No, it depends on completeness.
> 
> It is completely true
> that each natural number is a natural number   and
> that only natural numbers are natural numbers.

and that nothing fits between them and ω.
> ℕ is the set of finite ordinals.

such than none can be added.

Regular distances in (0, ω) multiplied by 2 remain regular distances in 
(0, 2ω).

Regards, WM