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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Sun, 15 Dec 2024 07:52:20 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <2d538e59fe2f1441934792ae8a586608d917f2d2@i2pn2.org> 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> <vjjfmj$3tuuh$1@dont-email.me> <vjjgds$3tvsg$2@dont-email.me> <539edbdf516d69a3f1207687b802be7a86bd3b48@i2pn2.org> <vjk97t$1tms$1@dont-email.me> <c9e28c8c52f4885d550cd9c4083d9cf19331e572@i2pn2.org> <vjku0v$5rcl$2@dont-email.me> <vjmcb9$hl7j$3@dont-email.me> <vjmdic$hn65$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 15 Dec 2024 12:52:20 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2973922"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <vjmdic$hn65$4@dont-email.me> X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US Bytes: 1961 Lines: 18 On 12/15/24 6:12 AM, WM wrote: > On 15.12.2024 11:51, Mikko wrote: >> On 2024-12-14 21:40:48 +0000, WM said: >> >>> In a geometry where all points exist, all points can be passed. >> >> Yes but none of them can be passed before passing other points. > > That contradicts the actual existence of all. When other points a re > passed, the former has been passed before. Otherwise it would not be the > former. > > Regards, WM > Nope, just shows your concept of "Next" doesn't apply to infinite sets. There is before and after but not next before or next after, as there is density.