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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Mon, 4 Nov 2024 19:49:39 +0200
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On 2024-11-04 10:47:19 +0000, WM said:

> On 04.11.2024 11:31, Mikko wrote:
>> On 2024-11-04 09:55:24 +0000, WM said:
>> 
>>> On 03.11.2024 23:18, Jim Burns wrote:
>>> 
>>>> There aren't any neighboring intervals.
>>>> Any two intervals have intervals between them.
>>> 
>>> That is wrong. The measure outside of the intervals is infinite. Hence 
>>> there exists a point outside. This point has two nearest intervals
>> 
>> No, it hasn't.
> 
> In geometry it has.

This discussion is about numbers, not geometry.

>> Between that point an an interval there are rational
>> numbers and therefore other intervals
> 
> I said the nearest one. There is no interval nearer than the nearest one.

There is no nearesst one. There is always a nearer one.

>> Therefore the
>> point has no nearest interval.
> 
> That is an unfounded assertions and therefore not accepted.

It is not unfounded. Your conterclaim is unfounded (or at least its
foundation is not in anythhing relevant).

-- 
Mikko