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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: Mon, 13 Jan 2025 13:48:19 +0100
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On 13.01.2025 05:51, Moebius wrote:
> 
> Es 
> gilt dann also |ℕ|/n = |ℕ|.

Wrong. |ℕ| is a fixed number. |ℕ|*2 > |ℕ|. |ℕ|/2 < |ℕ|.
> 
> Was Du vermutlich meinst/ausdrücken willst, ist, dass für alle k e IN:
> 
>             An e IN: |F(k)|*n < |IN|
> 
> gilt. D. h. dass jeder Anfangsabschnitt im Vergleich zu IN geradezu 
> "verschwindend klein" ist.

Infinitesimal.

Deswegen kann die Vereinigung nicht |ℕ| sein.

Regards, WM