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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: Tue, 12 Nov 2024 09:58:12 +0100
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On 11.11.2024 22:50, FromTheRafters wrote:
> It happens that WM formulated :

>>
>> For that claim you need an infinite set of claims.
> 
> Good thing we have such.

No.
> 
>>> This is one ?????:
>>> ⎛ All fractions are in bijection with
>>> ⎝ all natural numbers.
>>
>> It is wrong.
> 
> You 'think' it is wrong because you intuitively think it 'should' be 
> wrong. Saying it is wrong does not make it wrong no matter how many 
> times that you say it.

Therefore I prove it. The set of intervals I(n) = [n - 1/10, n + 1/10] 
cannot cover all fractions on the real axis.

Regards, WM