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Path: eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Andy Walker <anw@cuboid.co.uk> Newsgroups: comp.theory Subject: Re: Another proof: The Halting Problem Is Undecidable. Date: Fri, 11 Oct 2024 11:42:21 +0100 Organization: Not very much Lines: 14 Message-ID: <veaved$3jher$1@dont-email.me> References: <789da1c7da825d24f5298891efae209a44535ca5.camel@gmail.com> <0cf5c2dd4c7f1042c1d52ea45a30847ea4bc3e38.camel@gmail.com> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 11 Oct 2024 12:42:22 +0200 (CEST) Injection-Info: dont-email.me; posting-host="742067e2fef5c4054edacad1b9da1b59"; logging-data="3786203"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+K1sWsh+sVGZVZU1JzN5bn" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:YJiIaSIaBEeHzmZ2GAOQFCcwLdI= In-Reply-To: <0cf5c2dd4c7f1042c1d52ea45a30847ea4bc3e38.camel@gmail.com> Content-Language: en-GB On 10/10/2024 16:26, wij wrote: > This "0.999...!=1" proof [...]. Any such proof would breach the Archimedean [Eudoxus] axiom, so is not a proof about the real numbers. You have been told that before. If you propose to repeat this or to take it further, you /really, really/ do need to tell us what axioms you are using instead of those of the real numbers. Without that, your claims, whatever they may be, are worthless, and no-one qualified to do so can comment more usefully. WIYF. -- Andy Walker, Nottingham. Andy's music pages: www.cuboid.me.uk/andy/Music Composer of the day: www.cuboid.me.uk/andy/Music/Composers/Valentine