Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Lawrence D'Oliveiro Newsgroups: comp.theory Subject: Re: Cantor Diagonal Proof Date: Sun, 6 Apr 2025 06:40:16 -0000 (UTC) Organization: A noiseless patient Spider Lines: 12 Message-ID: References: MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 06 Apr 2025 08:40:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c047f83780d867d0a7ba2f0a8fb3be95"; logging-data="383472"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/pX5O0TWzjJqPfge7BjTnL" User-Agent: Pan/0.162 (Pokrosvk) Cancel-Lock: sha1:98Djow9W3eJ4ddl/QOKkGdd1S5s= Bytes: 1694 On Sat, 5 Apr 2025 04:59:08 +0100, Richard Heathfield wrote: > On 05/04/2025 03:19, Lawrence D'Oliveiro wrote: >> >> But if you like, it is possible to construct a list where the property >> of finding matches later in the list is guaranteed. > > Yes, of course. To construct such a list is trivially easy, because you > can just add a match yourself. But so what? The Cantor diagonal “proof” says it can always construct a number that will not match any existing entry, that’s what.