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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, 16 Dec 2024 11:46:28 +0200
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On 2024-12-15 19:29:23 +0000, WM said:

> On 15.12.2024 13:52, Richard Damon wrote:
>> On 12/15/24 6:05 AM, WM wrote:
> 
>>> You believe that only afterwards the first interval comes into being?
>>> That is not the infinity used in set theory.
> 
>> There is no "next", only before or after in dense sets.
>> 
>> Next is a property of directly indexed sets
> 
> Next is a geometric property, in particular since the average distance 
> of intervals is infinitely larger than their sizes.

No, it is not geometric. In geometry you can have a point in a plane or
space but not a next point.

-- 
Mikko