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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: Tue, 17 Dec 2024 11:07:11 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Mon, 16 Dec 2024 12:28:52 +0100 schrieb WM:
> On 16.12.2024 11:23, Mikko wrote:
>> On 2024-12-15 11:33:15 +0000, WM said:
> 
>>> We cannot name dark numbers as individuals.
>> We needn't. The axioms of natural numbers ensure that every natural
>> number has a successor,
> The set, i.e. all numbers together, has no successor.
It is not even in a sequence. How does that matter?

>> If that is not possible then there are no natural numbers.
> That is not possible for an actually infinite set. It is only possible
> for numbers coming into being.
You misunderstood: Mikko was naming the axioms of the naturals.

-- 
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.