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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius <invalid@example.invalid> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sat, 11 Jan 2025 04:51:01 +0100 Organization: A noiseless patient Spider Lines: 26 Message-ID: <vlspr5$f6pk$2@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vl95ks$3vk27$2@dont-email.me> <vl9ldf$3796$1@dont-email.me> <vlaskd$cr0l$2@dont-email.me> <vlc68u$k8so$1@dont-email.me> <vldpj7$vlah$7@dont-email.me> <a8b010b748782966268688a38b58fe1a9b4cc087@i2pn2.org> <vlei6e$14nve$1@dont-email.me> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <vlir7p$24c51$1@dont-email.me> <412770ca-7386-403f-b7c2-61f671d8a667@att.net> <vllg47$2n0uj$3@dont-email.me> <vllm44$2oeeq$1@dont-email.me> <vlm2fv$2qk9u$2@dont-email.me> <59af1502-0bc9-4266-b556-6164edb6a8d4@att.net> <vlmscv$2vgqf$1@dont-email.me> <9a22a29bfd5af29db5bad5f3cae537665b8dafd7@i2pn2.org> <vlochd$3akpm$2@dont-email.me> <vlofbp$3c074$1@dont-email.me> <vlohk3$3cap7$1@dont-email.me> <vlosfs$3eekp$1@dont-email.me> <vlov8s$3eqeg$2@dont-email.me> <81834850e9e4fdedeb38ddc1da4df4a1ebe34e07@i2pn2.org> <vlpef4$3hn08$4@dont-email.me> <vlpsts$3kemp$3@dont-email.me> <vlqqle$3tulu$1@dont-email.me> <vls6cg$8h29$2@dont-email.me> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 11 Jan 2025 04:51:01 +0100 (CET) Injection-Info: dont-email.me; posting-host="afb9fcf797f54f3138f574402a8e81c0"; logging-data="498484"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+O3wNUM7Ea834bdja/iNsT" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Senb0cZo+H7dMcdj1V4yI1hstA4= In-Reply-To: <vls6cg$8h29$2@dont-email.me> Content-Language: de-DE Bytes: 2688 Am 10.01.2025 um 23:18 schrieb Chris M. Thomasson: > On 1/10/2025 1:52 AM, WM wrote: >>> Hint: The set of all natural numbers, IN, does not change. [moebius] >> >> So all natural numbers are fixed. Was immer das auch bedeuten soll. Well, yeah, the don't dance or wander around. >> Then for every [ordinal number] it is determined whether [it] is a natural number [or not]. Indeed! >> Although we cannot determine it because <bla> Well, there's a difference between mathematical facts and what we KNOW about these facts (or even if they a r e facts). There are many mathematical facts we cannot "determine" (at least not yet). .. .. ..