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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: Thu, 12 Dec 2024 23:11:57 +0100
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On 12.12.2024 17:15, Jim Burns wrote:
> On 12/12/2024 4:07 AM, WM wrote:

> The existence of a bridge implies that,
> somewhere we can't see,
> a size which cannot change by 1
> changes by 1 to
> a size which can change by 1

Every set can change by one element. No size is required and no size is 
possible if this is forbidden.
> 
>> There must be
>> a continuous sequence of steps of height 1
>> from many elements to none.
> 
> What you describe is many, not infinity.
> 
>> Can you confirm this?
> 
> For many, yes,
> For infinity, never.
> Having a continuous sequence of steps of height 1
> from many elements to none
> is what makes it finite.

It is needed by Cantors mappings.

Regards, WM