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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Sat, 21 Dec 2024 01:23:28 -0800
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On 12/20/2024 7:37 PM, Richard Damon wrote:
> On 12/20/24 3:18 PM, Chris M. Thomasson wrote:
>> On 12/20/2024 6:38 AM, WM wrote:
>>> On 20.12.2024 12:55, Chris M. Thomasson wrote:
>>>> On 12/20/2024 2:13 AM, WM wrote:
>>>>> On 20.12.2024 03:52, Richard Damon wrote:
>>>>>
>>>>>> He builds an infinite sequence that pairs a natural number to 
>>>>>> every rational number .
>>>>>
>>>>> And I build an infinite sequence of intervals [1, n] that contains 
>>>>> every natural number.
>>>>
>>>> Cantor Pairing works will any of them.
>>>
>>> Therefore no interval [1, n] and therefore no n is missing in my 
>>> proof that the pairing
>>> 10n --> n, n ∈ ℕ
>>> does not work. For every interval at least 9/10 are missing.
>>
>> Huh? Have you ever implemented Cantor Pairing and tried it out? It 
>> works with any unsigned integer. So, it works with all of them. Why do 
>> you seem to have trouble with it?
> 
> His problem is he isn't using the actual set of Natural Numbers, only a 
> FISON of 1 to n, and thus a lot of the numbers don't have the needed 
> 10xn available.
> 
> 

Strange to me. Here is Cantor Pairing in MIDI notes, lol:

https://youtu.be/XkwgJt5bxKI