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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Sat, 23 Nov 2024 13:43:11 -0500
Organization: Peripheral Visions
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WM wrote on 11/23/2024 :
> On 23.11.2024 13:35, FromTheRafters wrote:
>> WM has brought this to us :
>>> 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,
>> 
>> There is.
>> 
>>> then the whole axis could become red.
>> 
>> What makes you think that?
>
> A bijection proves that every prime number (and its colour) can be put to a 
> natural number (and colour it).

???