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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 26 Nov 2024 20:15:38 +0100
Organization: A noiseless patient Spider
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On 26.11.2024 19:49, Jim Burns wrote:

> There are no last end.segments of ℕᶠⁱⁿ
> There are no finitely.sized end segments of ℕᶠⁱⁿ
> There are no finite cardinals common to
>   each end.segment of ℕᶠⁱⁿ

That is a contradiction. If there are no common numbers, then all 
numbers must have been lost. But then no numbers are remaining. Then 
there are finite endsegments because ∀k ∈ ℕ: |E(k+1)| = |E(k)| - 1.

Regards, WM