Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
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: Fri, 20 Dec 2024 12:18:58 -0800
Organization: A noiseless patient Spider
Lines: 21
Message-ID: <vk4jfi$3k04r$4@dont-email.me>
References: <vg7cp8$9jka$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me>
 <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org>
 <vjhp8b$3gjbv$1@dont-email.me>
 <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org>
 <vjjg6p$3tvsg$1@dont-email.me>
 <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org>
 <vjka3b$1tms$3@dont-email.me>
 <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org>
 <vjmse3$k2go$2@dont-email.me>
 <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org>
 <vjooeq$11n0g$2@dont-email.me>
 <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org>
 <vjrfcc$1m1b2$1@dont-email.me>
 <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org>
 <vjss56$1tr00$2@dont-email.me>
 <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org>
 <vjv6fb$2dujf$2@dont-email.me>
 <b0c7449413fec43bc18e8d2d67da1c779a350bc2@i2pn2.org>
 <vk1cad$2srst$1@dont-email.me>
 <ceaaf003457afd2e381c8f115a4e691611162ffe@i2pn2.org>
 <vk3g0l$3cjvc$3@dont-email.me> <vk3lv1$3e9se$1@dont-email.me>
 <vk3vh6$3g0a3$1@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Fri, 20 Dec 2024 21:18:58 +0100 (CET)
Injection-Info: dont-email.me; posting-host="90d0359d260b5ab20f7104a3aa6ad836";
	logging-data="3801243"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/dpy2u2Qgfau1yCSiGaplMny5aUJNCU9s="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:e9CSgWwpZpQFZC4/W5YTzrzVsyI=
Content-Language: en-US
In-Reply-To: <vk3vh6$3g0a3$1@dont-email.me>
Bytes: 2810

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?