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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: Wed, 4 Dec 2024 10:00:08 +0100
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In-Reply-To: <50c82b03-8aa1-492c-9af3-4cf2673d6516@att.net>

On 03.12.2024 21:34, Jim Burns wrote:
> On 12/3/2024 8:02 AM, WM wrote:

>> E(1)∩E(2)∩...∩E(n) = E(n).
>> Sequences which are identical in every term
>> have identical limits.
> 
> An empty intersection does not require
>   an empty end.segment.

A set of non-empty endsegments has a non-empty intersection. The reason 
is inclusion-monotony.

Regards, WM