Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 20 Dec 2024 03:55:12 -0800 Organization: A noiseless patient Spider Lines: 10 Message-ID: References: <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 20 Dec 2024 12:55:14 +0100 (CET) Injection-Info: dont-email.me; posting-host="90d0359d260b5ab20f7104a3aa6ad836"; logging-data="3614606"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX182SjPbQ2KN1LrA5nac77epkT8R75EJolY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bQg+2WhRDK3SATL8gB5ZsHZlMLQ= In-Reply-To: Content-Language: en-US Bytes: 2407 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. Yes, even zero.