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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: Sun, 24 Nov 2024 06:07:51 -0500
Organization: Peripheral Visions
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on 11/23/2024, WM supposed :
> On 23.11.2024 22:07, FromTheRafters wrote:
>> WM wrote :
>
>>> A bijection between natural numbers and prime numbers proves that for 
>>> every prime number there is a natural number: p_1, p_2, p_3, ...
>>> If that is correct, then there are as many natural numbers as prime 
>>> numbers and as many prime numbers as natural numbers. Then the following 
>>> scenario is possible:
>>>
>>> Cover the unit intervals of prime numbers by red hats. Then shift the red 
>>> hats so that all unit intervals of the positive real axis get red hats.
>> 
>> What makes you think that that follows?
>
> Cantor.

Show me Cantor shifting interval hats!