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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Tue, 5 Nov 2024 09:45:57 +0100
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On 05.11.2024 04:12, Richard Damon wrote:
> On 11/4/24 11:55 AM, WM wrote:

> Cantor showed how to count the Rationals in a countable infinity.

No. Then the real axis would have measure zero.
> 
> He showed that the Reals Could not be counted, not even a finite length 
> line of them.

That is the nonsense believed by matheologians. He assumes a fixed set 
ℕ. But if Hilbert's hotel was real, then always a diagonal number could 
be enumerated by inserting it into the list at line no. 1.
> 
>>>>> Therefore the
>>>>> point has no nearest interval.
>>>>
>>>> That is an unfounded assertions and therefore not accepted.
>>>
>>> No, it is a PROVEN statement, therefor true.
>>
>> It is proven in an inconsistent theory. I describe the true mathematics.
> 
> No, you describe

I describe that a point between two finite intervals has two finite 
intervals around it. Even this simple conclusion must be denied by the 
believers in matheology.

Regards, WM