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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: Thu, 19 Dec 2024 21:52:31 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <9c5b577e71162d62b2fbc7dc7a2f150ccd64be96@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$1@dont-email.me> <vjmc7h$hl7j$1@dont-email.me> <vjmd6c$hn65$2@dont-email.me> <vjosno$12p56$1@dont-email.me> <vjp0lf$13ar5$1@dont-email.me> <vjrtdm$1ogn3$1@dont-email.me> <vjsjl4$1sk3l$1@dont-email.me> <vju7rp$28h2b$1@dont-email.me> <vjubd8$294ii$1@dont-email.me> <vk0t9g$2qp57$1@dont-email.me> <vk1f5v$2srst$3@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 20 Dec 2024 02:52:32 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3715850"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <vk1f5v$2srst$3@dont-email.me> Content-Language: en-US Bytes: 2282 Lines: 19 On 12/19/24 10:47 AM, WM wrote: > On 19.12.2024 11:41, Mikko wrote: > >> Not really. What is acceptable for applied mathematics depends on the >> application area, which you didn't specify. > > It was obvious when the argument was discussed: The cursor moves from 0 > to 1 on the real axis. For every unit fractions 1/n which it hits there > are smaller unit fractions which it had not hit before because they were > dark at the first time and came into being only later. > > Regards, WM > No, it means you missed them because you moved too far, because you closed your eyes. This shows that you can't move to the "first" (smallest valued) 1/n because no such number actually exist, and thus your logic is just built on LIES.