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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Mikko <mikko.levanto@iki.fi> Newsgroups: comp.theory Subject: Re: Cantor Diagonal Proof Date: Mon, 7 Apr 2025 11:40:58 +0300 Organization: - Lines: 24 Message-ID: <vt032q$3b5dv$1@dont-email.me> References: <vsn1fu$1p67k$1@dont-email.me> <vso3j4$2vbn4$1@dont-email.me> <vso3ov$2vems$1@dont-email.me> <vso4oc$30ine$1@dont-email.me> <vspb09$75m8$6@dont-email.me> <vsql1k$1lpck$1@dont-email.me> <vsqlve$1ktm5$4@dont-email.me> <vstlr4$q280$1@dont-email.me> <vsvvak$36pju$5@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 07 Apr 2025 10:40:58 +0200 (CEST) Injection-Info: dont-email.me; posting-host="467902ab761a4361063a19a833c171c1"; logging-data="3511743"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/LXmMr1vEnPN/8NSwrSD8f" User-Agent: Unison/2.2 Cancel-Lock: sha1:UVXFoJ23Za8DPGKGnv6UjaCwSxA= Bytes: 1773 On 2025-04-07 07:36:52 +0000, Lawrence D'Oliveiro said: > On Sun, 6 Apr 2025 13:42:44 +0300, Mikko wrote: > >> On 2025-04-05 07:26:38 +0000, Lawrence D'Oliveiro said: >> >>> On Sat, 5 Apr 2025 10:10:44 +0300, Mikko wrote: >>> >>>> The proof is finite and complete. >>> >>> It requires showing that there is no complete match among an infinity >>> of digits. >> >> Cantor's proof and every proof with Cantor's diagonal method shows that. > > Except for that example list I gave where I proved by induction that it > does not. Even there, proving that a computable list of all computable numbers does not exist. -- Mikko