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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes <noreply@example.org> 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: <b559aa8077aafcc7d799b21e82445c9f724ee4c6@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vjc65g$1i9vk$3@dont-email.me> <vjf7kl$2s7e5$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> 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.