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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: dbush <dbush.mobile@gmail.com> Newsgroups: comp.theory Subject: Re: DDD simulated by HHH cannot possibly halt (Halting Problem) --- mindless robots Date: Sun, 13 Apr 2025 17:03:18 -0400 Organization: A noiseless patient Spider Lines: 57 Message-ID: <vth8ql$3a127$8@dont-email.me> References: <vsnchj$23nrb$2@dont-email.me> <vso4a5$302lq$1@dont-email.me> <vsqhuu$1hl94$2@dont-email.me> <vsqknb$1ldpa$1@dont-email.me> <vsrmn8$2o2f2$1@dont-email.me> <vstku7$p4u7$1@dont-email.me> <vsu95l$1c5kt$1@dont-email.me> <vt01l0$39kn7$1@dont-email.me> <vt28vk$1fe7a$1@dont-email.me> <vt2k6t$1onvt$1@dont-email.me> <vt3ef4$2flgf$1@dont-email.me> <vt3fgd$2gu7u$1@dont-email.me> <vt6apu$12sjs$2@dont-email.me> <vt6g1f$180qf$1@dont-email.me> <vt6lmk$1djk6$1@dont-email.me> <vt7tj4$2iso2$1@dont-email.me> <vt9j0j$1snb$2@dont-email.me> <vtai1c$11kqr$1@dont-email.me> <vtajkf$10asg$2@dont-email.me> <vtbe3g$1vs00$1@dont-email.me> <852f89c9196e0261b8156050fea4572fe886933f@i2pn2.org> <vth52t$3in23$9@dont-email.me> <vth557$3a127$7@dont-email.me> <vth8lr$3n2du$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 13 Apr 2025 23:03:17 +0200 (CEST) Injection-Info: dont-email.me; posting-host="acf86990c0c55813e5914ba20d3f0f2e"; logging-data="3474503"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+4fJ+fRuFIHATiu36H4WQF" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:AAmorsN6p1rPW+RQ89XZ6+tyMCA= Content-Language: en-US In-Reply-To: <vth8lr$3n2du$2@dont-email.me> Bytes: 4052 On 4/13/2025 5:00 PM, olcott wrote: > On 4/13/2025 3:00 PM, dbush wrote: >> On 4/13/2025 3:59 PM, olcott wrote: >>> On 4/13/2025 3:54 AM, joes wrote: >>>> Am Fri, 11 Apr 2025 10:56:32 -0500 schrieb olcott: >>>>> On 4/11/2025 3:24 AM, Richard Heathfield wrote: >>>>>> On 11/04/2025 08:57, Mikko wrote: >>>> >>>>>>> No proof of this principle has been shown so its use is not valid. >>>>>> >>>>>> No proof of Peano's axioms or Euclid's fifth postulate has been >>>>>> shown. >>>>>> That doesn't mean we can't use them. >>>>>> Mr Olcott can have his principle if he likes, but only by EITHER >>>>>> proving it (which, as you say, he has not yet done) OR by taking >>>>>> it as >>>>>> axiomatic, leaving the world of mainstream computer science behind >>>>>> him, >>>>>> constructing his own computational 'geometry' so to speak, and >>>>>> abandoning any claim to having overturned the Halting Problem. Navel >>>>>> contemplation beckons. >>>>>> Axioms are all very well, and he's free to invent as many as he >>>>>> wishes, >>>>>> but nobody else is obliged to accept them. >>>>>> >>>>> *Simulating termination analyzer Principle* >>>>> It is always correct for any simulating termination analyzer to stop >>>>> simulating and reject any input that would otherwise prevent its own >>>>> termination. >>>> Sure. Why doesn’t the STA simulate itself rejecting its input? >>>> >>> >>> Because that is a STUPID idea and categorically impossible >>> because the outermost HHH sees its needs to stop simulating >>> before any inner HHH can possibly see this. >>> >> >> In other words, you agree that Linz and others are correct that no H >> exists that satisfies these requirements: >> >> >> 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 >> > > No stupid! Those freaking requirements are wrong In other words, you have no interest in something that would make all truth provable.