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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: olcott <polcott333@gmail.com> Newsgroups: comp.theory Subject: Re: The philosophy of computation reformulates existing ideas on a new basis --- Date: Mon, 4 Nov 2024 12:58:52 -0600 Organization: A noiseless patient Spider Lines: 248 Message-ID: <vgb5hc$12teg$1@dont-email.me> References: <vfli1h$fj8s$1@dont-email.me> <vflue8$3nvp8$2@i2pn2.org> <vfmd8m$k2m7$1@dont-email.me> <bcd82d9f8a987d3884220c0df7b8f7204cb9de3e@i2pn2.org> <vfmueh$mqn9$1@dont-email.me> <ff039b922cabbb6d44f90aa71a52d8c2f446b6ab@i2pn2.org> <vfo95k$11qs1$1@dont-email.me> <vfp8c0$3tobi$2@i2pn2.org> <vfpbtq$1837o$2@dont-email.me> <vfq4h9$1fo1n$1@dont-email.me> <vfqrro$1jg6i$1@dont-email.me> <vfvnbk$2lj5i$1@dont-email.me> <vfvudo$2mcse$5@dont-email.me> <vg2c7p$379h1$1@dont-email.me> <vg2hei$37lpn$8@dont-email.me> <vg5030$3oo1p$1@dont-email.me> <vg56vn$3pnvp$2@dont-email.me> <vg7pab$bqa3$1@dont-email.me> <vg81v7$d0a1$2@dont-email.me> <vgaksg$vp4q$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 04 Nov 2024 19:58:53 +0100 (CET) Injection-Info: dont-email.me; posting-host="4c03802f94c328efff99322eacddb6cd"; logging-data="1144272"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+PfqrlVnH3GXMV1EboMRTi" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:7cwDIFUiWaSsNVPj3rtLbh/fduo= In-Reply-To: <vgaksg$vp4q$1@dont-email.me> X-Antivirus-Status: Clean Content-Language: en-US X-Antivirus: Norton (VPS 241104-0, 11/3/2024), Outbound message Bytes: 11460 On 11/4/2024 8:14 AM, Mikko wrote: > On 2024-11-03 14:39:35 +0000, olcott said: > >> On 11/3/2024 6:11 AM, Mikko wrote: >>> On 2024-11-02 12:46:47 +0000, olcott said: >>> >>>> On 11/2/2024 5:49 AM, Mikko wrote: >>>>> On 2024-11-01 12:26:58 +0000, olcott said: >>>>> >>>>>> On 11/1/2024 5:58 AM, Mikko wrote: >>>>>>> On 2024-10-31 12:50:00 +0000, olcott said: >>>>>>> >>>>>>>> On 10/31/2024 5:49 AM, Mikko wrote: >>>>>>>>> On 2024-10-29 14:35:34 +0000, olcott said: >>>>>>>>> >>>>>>>>>> On 10/29/2024 2:57 AM, Mikko wrote: >>>>>>>>>>> On 2024-10-29 00:57:30 +0000, olcott said: >>>>>>>>>>> >>>>>>>>>>>> On 10/28/2024 6:56 PM, Richard Damon wrote: >>>>>>>>>>>>> On 10/28/24 11:04 AM, olcott wrote: >>>>>>>>>>>>>> On 10/28/2024 6:16 AM, Richard Damon wrote: >>>>>>>>>>>>>>> The machine being used to compute the Halting Function >>>>>>>>>>>>>>> has taken a finite string description, the Halting >>>>>>>>>>>>>>> Function itself always took a Turing Machine, >>>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>>> That is incorrect. It has always been the finite string >>>>>>>>>>>>>> Turing Machine >>>>>>>>>>>>>> description of a Turing machine is the input to the halt >>>>>>>>>>>>>> decider. >>>>>>>>>>>>>> There are always been a distinction between the >>>>>>>>>>>>>> abstraction and the >>>>>>>>>>>>>> encoding. >>>>>>>>>>>>> >>>>>>>>>>>>> Nope, read the problem you have quoted in the past. >>>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>>> Ultimately I trust Linz the most on this: >>>>>>>>>>>> >>>>>>>>>>>> the problem is: given the description of a Turing machine >>>>>>>>>>>> M and an input w, does M, when started in the initial >>>>>>>>>>>> configuration qow, perform a computation that eventually halts? >>>>>>>>>>>> https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf >>>>>>>>>>>> >>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qy ∞ >>>>>>>>>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn >>>>>>>>>>>> >>>>>>>>>>>> Linz also makes sure to ignore that the behavior of ⟨Ĥ⟩ ⟨Ĥ⟩ >>>>>>>>>>>> correctly simulated by embedded_H cannot possibly reach >>>>>>>>>>>> either ⟨Ĥ.qy⟩ or ⟨Ĥ.qn⟩ because like everyone else he rejects >>>>>>>>>>>> simulation out of hand: >>>>>>>>>>>> >>>>>>>>>>>> We cannot find the answer by simulating the action of M on w, >>>>>>>>>>>> say by performing it on a universal Turing machine, because >>>>>>>>>>>> there is no limit on the length of the computation. >>>>>>>>>>> >>>>>>>>>>> That statement does not fully reject simulation but is >>>>>>>>>>> correct in >>>>>>>>>>> the observation that non-halting cannot be determied in >>>>>>>>>>> finite time >>>>>>>>>>> by a complete simulation so someting else is needed instead >>>>>>>>>>> of or >>>>>>>>>>> in addition to a partial simulation. Linz does include >>>>>>>>>>> simulationg >>>>>>>>>>> Turing machines in his proof that no Turing machine is a halt >>>>>>>>>>> decider. >>>>>>>>>> >>>>>>>>>> *That people fail to agree with this and also fail to* >>>>>>>>>> *correctly point out any error seems to indicate dishonestly* >>>>>>>>>> *or lack of technical competence* >>>>>>>>>> >>>>>>>>>> DDD emulated by HHH according to the semantics of the x86 >>>>>>>>>> language cannot possibly reach its own "return" instruction >>>>>>>>>> whether or not any HHH ever aborts its emulation of DDD. >>>>>>>>> >>>>>>>>> - irrelevant >>>>>>>> >>>>>>>> 100% perfectly relevant within the philosophy of computation >>>>>>> >>>>>>> Probably but not to anything quoted above. >>>>>>> >>>>>>>> *THE TITLE OF THIS THREAD* >>>>>>>> [The philosophy of computation reformulates existing ideas on a >>>>>>>> new basis ---] >>>>>>>> >>>>>>>>> - couterfactual >>>>>>> >>>>>>>> You can baselessly claim that verified facts are counter-factual >>>>>>>> you cannot show this. >>>>>>> >>>>>>> Your statement was about a situation where "people fail to agree >>>>>>> with >>>>>>> this and also fail to correctly point out any error". But that >>>>>>> situation >>>>>>> has not happened as people have identified your errors (perhaps >>>>>>> not all >>>>>>> but at least sufficiently many). >>>>>>> >>>>>> >>>>>> Inconsistent with the currently received view is >>>>>> certainly not the slightest trace of any error when >>>>>> examined within the philosophy of computation. >>>>> >>>>>> It has always seemed quite ridiculous to me that everyone >>>>>> here consistently construes the currently received view >>>>>> as inherently infallible. >>>>> >>>>> The currently received view that if you are asked "What is 5 + 6?" >>>>> then only an answer that tells what 5 + 6 is is correct is infallible. >>>> >>>> This is simple enough that people cannot be confused. >>>> That 5 + 6 == 11 does seem infallibly true. >>> >>> So even you can make the ridiculous mistake to regard the currently >>> received view as infallible? >>> >>>>>> They call me stupid and ignorant for not accepting the currently >>>>>> received view as inherently infallible. >>>>> >>>>> You are stupid if you regard your own view as infallible. If you >>>>> regard something that has been tested and found good as infallible >>>>> then the risk of error can be small enough. >>>> >>>> I have known that equating believable with true is an error >>>> a great consequence ever since I was 14. >>>> >>>> It seems clear that halt deciders must compute the mapping >>>> from their input finite strings to the actual behavior >>>> specified by these finite strings. >>> >>> It is not clear at all unless you specify how those finite >>> strings specify the actual behaviour. >> >> That is why I used to fully defined semantics of the x86 >> language to make this 100% perfectly unequivocal. > > It does not add any clarity to the last paragraph before > my previous comment. > >> A few lines of x86 code express complex algorithms >> succinctly enough that human minds are not totally >> overwhelmed by far too much tedious detail. >> >>> It is not pspecified >>> in the usual formulation of the problem. Also note that >>> the behaviour exists before those strings so "describe" >>> should be and usually is used instead of "specify". The >>> use of latter may give the false impression that the behaviour >>> is determined by those strings. >>> >> >> In order for any machine to compute the mapping from >> a finite string it must to so entirely on the basis >> of the actual finite string and its specified semantics. >> >> The finite string input to HHH specifies that HHH >> MUST EMULATE ITSELF emulating DDD. >> >> The finite string input to HHH1 specifies that HHH1 >> MUST NOT EMULATE ITSELF emulating DDD. >> >> Unless HHH rejects its input DDD as non halting the >> executed DDD never stops running. This itself proves >> that HHH is correct and that DDD is not the same >> instance as the one that HHH rejected. ========== REMAINDER OF ARTICLE TRUNCATED ==========