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From: joes <noreply@example.org>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Sat, 14 Dec 2024 11:06:46 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Sat, 14 Dec 2024 09:42:37 +0100 schrieb WM:
> On 14.12.2024 09:30, Mikko wrote:
>> On 2024-12-13 10:28:44 +0000, WM said:
>>> On 13.12.2024 10:46, Mikko wrote:
>>>
>>>> Between any two intervals there is space and that space contains
>>>> other intervals.
>>> No. Starting from a point in the complement the cursor will hit a
>>> first interval. This is true for all visible intervals.
>> False. From a point that is not a part of an interval no interval is
>> the nearest one because another interval is nearer.
> IF ALL intervals and their endpoints are existing as invariable points
> on the real line this cannot happen. In potential infinity however
> between any two points new intervals come into being.
They are ALREADY there. 

-- 
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.