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Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory Subject: Re: Refutation of the Halting Problem Assuming the Self-Referential Paradox is a Category Error --- Linz Proof Date: Sat, 26 Apr 2025 16:34:28 -0500 Organization: A noiseless patient Spider Lines: 45 Message-ID: <vujjh5$35hcg$8@dont-email.me> References: <HLbPP.1552551$Kb9a.668758@fx16.ams4> <vujj1c$35hcg$5@dont-email.me> <vujj9t$32om9$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 26 Apr 2025 23:34:30 +0200 (CEST) Injection-Info: dont-email.me; posting-host="9742630c956e796e93c0a1f147f3a807"; logging-data="3327376"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+UeYfz9xvRFmfPu1U4n/YN" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:dQ9sQKlHq6ccf4gMz1U5Zc8UqS0= Content-Language: en-US In-Reply-To: <vujj9t$32om9$4@dont-email.me> X-Antivirus: Norton (VPS 250426-4, 4/26/2025), Outbound message X-Antivirus-Status: Clean On 4/26/2025 4:30 PM, dbush wrote: > On 4/26/2025 5:26 PM, olcott wrote: >> On 4/26/2025 3:56 PM, Mr Flibble wrote: >>> Refutation of the Halting Problem Assuming the Self-Referential >>> Paradox is >>> a Category Error in All Computational Models and the Mathematical >>> Universe >>> Hypothesis is True >>> >> >> Yes and you are one of three people in the world that knows this. >> You acquired expertise about this in about a year where most >> people are indoctrinated into "received view" by mindless conformity. >> Even Christ knew that people are sheep. >> >> The other thing about the Halting Problem is that >> a simulating halt decider proves that the contradictory >> part has always been unreachable code. >> >> When we apply the finite string transformation rules >> specified by the Turing Machine language to the input >> to the Linz proof > > Which starts with the assumption that an H exists that computes the > following mapping: > > > Given any algorithm (i.e. a fixed immutable sequence of instructions) X > described as <X> with input Y: > > A solution to the halting problem is an algorithm H that computes the > following mapping: > > (<X>,Y) maps to 1 if and only if X(Y) halts when executed directly > (<X>,Y) maps to 0 if and only if X(Y) does not halt when executed directly > > THAT IS NOT ALLOWED because that cannot possibly be derived by applying the finite string transformation rules specified by the x86 language to the input to HHH(DD). -- Copyright 2025 Olcott "Talent hits a target no one else can hit; Genius hits a target no one else can see." Arthur Schopenhauer