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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Richard Heathfield <rjh@cpax.org.uk> Newsgroups: comp.theory Subject: Re: Cantor Diagonal Proof Date: Wed, 9 Apr 2025 18:10:15 +0100 Organization: Fix this later Lines: 20 Message-ID: <vt69ln$10han$3@dont-email.me> References: <vt3dg5$1qj4p$1@dont-email.me> <vt3eme$2bi5g$2@dont-email.me> <vt3qqn$1qj4q$1@dont-email.me> <1ab7fe6b234496769adde06995790eebb827756e.camel@gmail.com> <vt5qac$j4kv$1@dont-email.me> <60cbb326c7d65b1bbd9451319bd07721c76d307f.camel@gmail.com> <vt61cc$putp$1@dont-email.me> <a3088f983cc8deed93d9cef50aaaaeb0f0be0aa3.camel@gmail.com> <vt67eu$10han$2@dont-email.me> <ebc8d3cda53aa225977faf7bd5e209c23a19c27f.camel@gmail.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 09 Apr 2025 19:10:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="a0bfded38ff50eae03c6cf4454ca917e"; logging-data="1066327"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/2eWxPfJuzqRE5fh/W9EQ+eoTrqVB36MZfMUYWYUDe3Q==" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:dSogiOiSeK7oHmHCEeGtj+WOo0A= Content-Language: en-GB In-Reply-To: <ebc8d3cda53aa225977faf7bd5e209c23a19c27f.camel@gmail.com> Bytes: 2150 On 09/04/2025 17:45, wij wrote: <snip> > Stick to the problem. Such puzzle won't prove the "0.999... problem". You know what? You're right. 1/3 is irrational, 1 is infinite, 3 is unnatural, and Achilles never did catch the tortoise. I don't know what I was thinking, claiming that rationals are rational! Clearly the arithmetic I learned at school was deeply flawed, and I was naif to think it could be trusted. How happy I am, now that I have learned the truth from some faceless bloke on the Internet. Well done you, eh? 1/3 is irrational; who knew? -- Richard Heathfield Email: rjh at cpax dot org dot uk "Usenet is a strange place" - dmr 29 July 1999 Sig line 4 vacant - apply within