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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Thu, 7 Nov 2024 10:04:42 +0100
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On 07.11.2024 01:00, Moebius wrote:

> Hint: we do not have to "decide" if a 
> number z is inside or outside of a certain interval. It IS EITHER inside 
> of the interval OR NOT. (No "decision" necessary.)

And when we cover the real axis by intervals
--------_1_--------_2_--------_3_--------_4_--------_5_--------_...
J(n) = [n - √2/10, n + √2/10]
in a clever way, then all rational numbers are midpoints of intervals 
and no irrational number is outside of all intervals.
That is the power of infinity!!!

Regards, WM