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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: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Tue, 17 Dec 2024 05:07:11 -0500 Organization: Peripheral Visions Lines: 15 Message-ID: <vjrigi$1mhvl$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vijrru$37ce1$1@dont-email.me> <vikh9k$3cua3$1@dont-email.me> <viml28$6j3$1@dont-email.me> <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <vj6vhh$elqh$2@dont-email.me> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <vj9s4i$11a3p$1@dont-email.me> <vjam6d$1700v$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> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 17 Dec 2024 11:07:15 +0100 (CET) Injection-Info: dont-email.me; posting-host="efa63d9876eee3a372f3d846cfaaf5c5"; logging-data="1787893"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/3DIUhwXLk8rmflns7nqdHkzTLUnCsGJg=" Cancel-Lock: sha1:FfoGYb9EmXKRsAOwUAFl94dvlj8= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2419 WM wrote : > On 17.12.2024 00:52, Richard Damon wrote: >> On 12/16/24 3:30 AM, WM wrote: >>> On 15.12.2024 21:21, joes wrote: > >>>>> Therefore we use all [1, n]. >>>> Those are all finite. >>> >>> All n are finite. >> >> But N isn't, so the sets [1, n] aren't what the bijection is defined on. > > Every element is the last element of a FISON [1, n]. Why does your FISON look like a real interval?