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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: Sat, 23 Nov 2024 13:33:37 +0100
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On 23.11.2024 13:20, FromTheRafters wrote:
> WM laid this down on his screen :

>> Let every unit interval after a natural number on the real axis be 
>> coloured white with exception of the intervals after the prime numbers 
>> which are coloured red. It is impossible to shift the red intervals so 
>> that the whole real axis becomes red. Every interval (10n, 10 (n+1)] 
>> is deficient - on the whole real axis.
> 
> So what? Your imaginings don't affect the fact that there is a bijection.

If there was a bijection, then the whole axis could become red.
Do you believe that?

Regards, WM