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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: More complex numbers than reals?
Date: Mon, 15 Jul 2024 20:53:26 +0200
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Am 15.07.2024 um 20:31 schrieb Python:
> Le 15/07/2024 à 16:46, WM a écrit :

>> Probably the idea was discussed that an inclusion-monotonic 
>> sequence of infinite terms could have an empty intersection.

Which is an extremely trivial state of afairs, Mückenheim.

Hint: There is no natural number in the intersection of all "endsegments".

Extremely trivial reason: For each and every n e IN: n !e {n+1, n+2, 
n+3, ...}. In other words, An e IN: n !e INTERSECTION_(n e IN) {n+1, 
n+2, n+3, ...}.

>> Every sensible student 

should be able to comprehend this simple fact.