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From: "Chris M. Thomasson"
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
(extra-ordinary)
Date: Sat, 7 Dec 2024 17:33:12 -0800
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On 12/7/2024 1:38 PM, Moebius wrote:
> Am 07.12.2024 um 22:20 schrieb Chris M. Thomasson:
>
>> Have you ever implemented a Cantor Pairing function that can go back
>> and forth wrt the original number to unique pair and back to the
>> original number? They are pretty fun to play around with.
>
> Actually, I've implemented a complete library for (finite) "sets" in C. :-)
>
> Does that count?
>
>
Well, that's fine. Wrt this subject its all about a Cantor pairing. Take
any natural, (yes zero works as well) and be able to map it into a 100%
unique pairing. Then say okay, we have this unique pair. Now, we are
able to take said unique pair and map it right back to the natural that
created it to begin with.