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Path: ...!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Wed, 18 Dec 2024 07:23:13 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <881c71695d1731ccd71c265fa8fd10479624dc3a@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <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> <c611fdd5710ea4e05d421327898dfd48277b66d6@i2pn2.org> <vjpbo0$15bha$2@dont-email.me> <7aa4daa380966c031798568433c3a7e079cd29cf@i2pn2.org> <vjplmh$177tn$2@dont-email.me> <e08128aa5aa13493ccc0f9a4e0473fdc1515cb24@i2pn2.org> <vjreth$1lvej$1@dont-email.me> <0ea781d0d3fe1c2cb4e900898f655d12de85a403@i2pn2.org> <vjsrm0$1tqvv$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 18 Dec 2024 12:23:14 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3458403"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: <vjsrm0$1tqvv$1@dont-email.me> Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2524 Lines: 23 On 12/17/24 4:49 PM, WM wrote: > On 17.12.2024 13:34, Richard Damon wrote: > >> Your logic that if it holds for all FISONs, it holds for N, > > Please explain what Cantor does to apply more than what I apply, namely > all n ∈ ℕ. > > Regards, WM > N is an infinte set. Your FISONS are all finite sets, so none of them are N. The set is different then each of its members, the whole is more than just its parts. The bijection applies in the infinite set, and only in the infinte set. That you can't see this, just shows how much your "darkness" is just your own blindness.