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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Mikko <mikko.levanto@iki.fi> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Sat, 14 Dec 2024 10:30:11 +0200 Organization: - Lines: 19 Message-ID: <vjjfmj$3tuuh$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vg7vgh$csek$1@dont-email.me> <vg8911$dvd6$1@dont-email.me> <vjgvpc$3bb3f$1@dont-email.me> <vjh28r$3b6vi$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 14 Dec 2024 09:30:12 +0100 (CET) Injection-Info: dont-email.me; posting-host="7b068bf81981cfd4109a3b908ca6ac31"; logging-data="4127697"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19YzeE8zoZhA5akyF0j+U/C" User-Agent: Unison/2.2 Cancel-Lock: sha1:KeVZvCD8h4R/X4aduXtUku8Yucg= Bytes: 1542 On 2024-12-13 10:28:44 +0000, WM said: > On 13.12.2024 10:46, Mikko wrote: > >> Between any two intevals there is space and that space contains other >> intervals. > > No. Starting from a point in the complement the cursor will hit a first > interval. This is true for all visible intervals. False. From a point that is not a part of an interval no interval is the nearest one because another interval is nearer. Note that altough you is a nearest interval you have never presented an example. -- Mikko