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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
Date: Mon, 4 Nov 2024 22:12:18 -0500
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On 11/4/24 11:55 AM, WM wrote:
> On 04.11.2024 13:28, Richard Damon wrote:
>> On 11/4/24 5:47 AM, WM wrote:
> 
>>> I said the nearest one. There is no interval nearer than the nearest 
>>> one.
>>
>> Unless "nearest" isn't a thing because things are dense.
> 
> The intervals cannot be dense because they have a length of less than 3 
> in an infinite space. The rationals are dense. This proves that they are 
> not countable.>>

Not at all. You just don't understand how infinity works.

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

He showed that the Reals Could not be counted, not even a finite length 
line of them.

>>>> 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 an inconsisten mathematics, which has blown up in your 
face and blineded you to the reality of the infinite numbers.

> 
> Regards, WM
>