Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Thu, 26 Dec 2024 19:59:29 -0000 (UTC) Organization: i2pn2 (i2pn.org) 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 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 26 Dec 2024 19:59:29 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="582743"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2354 Lines: 11 Am Fri, 20 Dec 2024 11:13:41 +0100 schrieb WM: > 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. There is no entry in the sequence that contains every natural number. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.