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computers / comp.ai.philosophy / Re: Concise refutation of halting problem proofs V52 [ Honest Dialogue Begins ]

Re: Concise refutation of halting problem proofs V52 [ Honest Dialogue Begins ]

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Subject: Re: Concise refutation of halting problem proofs V52 [ Honest
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References: <ssh8vu$4c0$1@dont-email.me> <87mHJ.22633$dG7.7407@fx47.iad>
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From: NoO...@NoWhere.com (olcott)
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 by: olcott - Tue, 25 Jan 2022 03:45 UTC

On 1/24/2022 8:26 PM, Richard Damon wrote:
> On 1/24/22 9:11 PM, olcott wrote:
>> On 1/24/2022 8:03 PM, Richard Damon wrote:
>>>
>>> On 1/24/22 8:32 PM, olcott wrote:
>>>> On 1/24/2022 6:50 PM, Richard Damon wrote:
>>>>> On 1/24/22 7:09 PM, olcott wrote:
>>>>>> On 1/24/2022 5:49 PM, Richard Damon wrote:
>>>>>>> On 1/24/22 10:03 AM, olcott wrote:
>>>>>>>> On 1/23/2022 10:45 PM, Richard Damon wrote:
>>>>>>>>> On 1/23/22 11:17 PM, olcott wrote:
>>>>>>>>>> On 1/23/2022 9:57 PM, Richard Damon wrote:
>>>>>>>>>>>
>>>>>>>>>>> On 1/23/22 10:40 PM, olcott wrote:
>>>>>>>>>>>> On 1/23/2022 9:24 PM, Richard Damon wrote:
>>>>>>>>>>>>> On 1/23/22 10:10 PM, olcott wrote:
>>>>>>>>>>>>>> On 1/23/2022 8:42 PM, Richard Damon wrote:
>>>>>>>>>>>>>>> On 1/23/22 9:29 PM, olcott wrote:
>>>>>>>>>>>>>>>> On 1/23/2022 8:14 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> On 1/23/22 9:03 PM, olcott wrote:
>>>>>>>>>>>>>>>>>> On 1/23/2022 7:55 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>> On 1/23/22 8:10 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>> On 1/23/2022 7:00 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>> On 1/23/22 7:25 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 6:09 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 7:00 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 5:50 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 6:16 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 5:06 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 5:47 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 4:40 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 5:18 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 4:01 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 4:40 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/2022 2:25 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/23/22 2:19 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/22/2022 10:43 PM, Richard Damon
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/22/22 11:34 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/22/2022 3:36 PM, Richard Damon
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/22/22 4:25 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> On 1/22/2022 3:20 PM, Richard
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> This is true for infinite loops,
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> infinite recursion, infinitely
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> nested simulation and all other
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> non halting inputs:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> When-so-ever any simulated input
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to any simulating halt decider
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> would never reach the final state
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> of this simulated input in any
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> finite number of steps it is
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> always correct for the simulating
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> halt decider to abort its
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulation and transition to its
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reject state.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Can you PROVE that statement, or is
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this just one of your false 'self
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> evident truth'.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Anyone that knows that x86 language
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> can tell that its easy to match the
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> infinite loop pattern:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> _Infinite_Loop()
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> [000015fa](01)  55              push
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ebp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> [000015fb](02)  8bec            mov
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ebp,esp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> [000015fd](02)  ebfe            jmp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 000015fd
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> [000015ff](01)  5d              pop ebp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> [00001600](01)  c3              ret
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Size in bytes:(0007) [00001600]
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ---[000015fa][002126f0][002126f4] 55
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> push ebp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ---[000015fb][002126f0][002126f4]
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 8bec mov ebp,esp
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ---[000015fd][002126f0][002126f4]
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ebfe jmp 000015fd
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ---[000015fd][002126f0][002126f4]
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ebfe jmp 000015fd
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Showing that you can do one case does
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> not prove that the same method works
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> on all, particularly harder methods.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> That is just you serving Red Herring.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> And that pattern does NOT show up in
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the simulation by H of H^
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Which makes it MORE lies by Red Herring.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> FAIL.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Total lack of proof.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Does the proof include the
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> posibility that the input includes
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> a copy of the decider?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> It is always the case that a
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulating halt decider can
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> correctly base its halt status
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> decision on the behavior pure
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulation of its input.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> LIE.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Proven incorrect.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> If H -> H.Qn then H^ -> H^.Qn and
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Halts and for H^ <H^> proves H wrong.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> We know that this must be true
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> because we know that the pure UTM
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulation of an Turing Machine
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> description is defined to have
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> equivalent behavior to that of the
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> direct execution of the same machine
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Right, but that does't prove what you
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> sy.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> You are just LYING out of your POOP.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> The problem is that IF the
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulating halt decider does abort
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its input based on some condition,
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> then it is no longer a source of
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> truth for the halting status of
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> that input.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> It is not answering the question:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Does the input stop running?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> YOU need to answer, which H are you
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> using?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> If H doesn't abort, then H^ is
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> non-halting, but H will never answer.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> If H does abort and go to H.Qn, then
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> the pure simulation of the input WILL
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> halt at H^.Qn, so H was wrong.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> FAIL.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> It is answering the question:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Would the pure simulation of the
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> input ever stop running?
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Right, and if H -> H.Qn it will.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> FAIL.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> YOU JUST AREN'T BRIGHT ENOUGH TO GET
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> THIS. IT CAN BE VERIFIED AS COMPLETELY
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> TRUE ENTIRELY ON THE BASIS OF THE
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> MEANING OF ITS WORDS.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> It is the case that if embedded_H
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> recognizes an infinitely repeating
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> pattern in the simulation of its input
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> such that this correctly simulated
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> input cannot possibly reach its final
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> state then this is complete prove that
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> this simulated input never halts.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> If it COULD CORRECTLY recognize an
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> infinitely repeating pattern in its
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulation that can not possibly reach
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> its final state (when simulated by a
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> UTM, not just H) then, YES, H can go to
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> H.Qn.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> The problem is that due to
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> 'pathological self-reference' in H^,
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> ANY pattern that H sees in its
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulation of <H^> <H^> that it
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> transitions to H.Qn, will BY
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> DEFINITION, become a halting pattern.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> So a correctly simulated INPUT that
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> cannot possibly reach its final state
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> reaches its final state anyway. YOU ARE
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> DUMBER THAN A BOX OF ROCKS !!!
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> That's not what I said, I said there is
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> no pattern that H use to detect that it
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> won't halt, as any pattern that H uses to
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> decide to go to H.Qn will be WRONG for H^
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> as if H goes to H.Qn, then H^ also goes
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> to H^.Qn and Halts.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> When the correctly simulated INPUT to
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> embedded_H cannot possibly reach its final
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> state it is necessarily correct for
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> embedded_H to report that its correctly
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> simulated INPUT cannot possibly reach its
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> final state.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>> Right,  but you have only proved that H^ is
>>>>>>>>>>>>>>>>>>>>>>>>>>>>> non-halting for the case where H doesn't
>>>>>>>>>>>>>>>>>>>>>>>>>>>>> abort its simulation.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>> Because you are dumber than a box of rocks
>>>>>>>>>>>>>>>>>>>>>>>>>>>> (or perhaps you are a bot?)
>>>>>>>>>>>>>>>>>>>>>>>>>>>> You did not notice that I never mentioned
>>>>>>>>>>>>>>>>>>>>>>>>>>>> the word: "halting".
>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>> For a human being you are much dumber than a
>>>>>>>>>>>>>>>>>>>>>>>>>>>> box of rocks.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>> For a bot you did quite well (you nearly
>>>>>>>>>>>>>>>>>>>>>>>>>>>> passed the Turing test) it took me this long
>>>>>>>>>>>>>>>>>>>>>>>>>>>> to realize that you are not a human being.
>>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>> But reaching final state is the same as Halting.
>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>> You have only prove that the pure simulation
>>>>>>>>>>>>>>>>>>>>>>>>>>> of the input to H never reaches a final state
>>>>>>>>>>>>>>>>>>>>>>>>>>> for case when H doesn't abort its simulation.
>>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>> You deliberate weasel words do not apply to
>>>>>>>>>>>>>>>>>>>>>>>>>> what I said:
>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>> (1) Premise: When the correctly simulated
>>>>>>>>>>>>>>>>>>>>>>>>>> INPUT to embedded_H cannot possibly reach its
>>>>>>>>>>>>>>>>>>>>>>>>>> final state
>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>> (2) Conclusion: It is necessarily correct for
>>>>>>>>>>>>>>>>>>>>>>>>>> embedded_H to report that its correctly
>>>>>>>>>>>>>>>>>>>>>>>>>> simulated INPUT cannot possibly reach its
>>>>>>>>>>>>>>>>>>>>>>>>>> final state.
>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>> And the correct simulation of the input to H is
>>>>>>>>>>>>>>>>>>>>>>>>> determined by the UTM, not H.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>> (2) is a logical consequence of (1).
>>>>>>>>>>>>>>>>>>>>>>>> It is logically incorrect to argue with a
>>>>>>>>>>>>>>>>>>>>>>>> deductive logical premise.
>>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>> But 1 is only true if H doesn't go to H.Qn, so H
>>>>>>>>>>>>>>>>>>>>>>> can't correctly go to H.Qn.
>>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> You are quite the deceiver making sure to always
>>>>>>>>>>>>>>>>>>>>>> change the subject rather than directly address
>>>>>>>>>>>>>>>>>>>>>> the point at hand.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> And you seem quite dense. I did NOT change the
>>>>>>>>>>>>>>>>>>>>> subject, I pointed out an error in your statement.
>>>>>>>>>>>>>>>>>>>>> You seem to be unable to comprehend that.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> (2) logically follows from (1) is true.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> But 1 ISN'T True if H <H^> <H^> -> H.Qn, as the
>>>>>>>>>>>>>>>>>>>>> correctly simulate input
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> When testing whether or not one assertion logically
>>>>>>>>>>>>>>>>>>>> follows from another the premises are always "given"
>>>>>>>>>>>>>>>>>>>> to be true even if they are false.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> Don't know what sort of logic you are claiming.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> And arguemnt with a false premise is unsound.
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> We are not yet looking at soundness we are looking at
>>>>>>>>>>>>>>>>>> validity.
>>>>>>>>>>>>>>>>>> It is true that (2) logically follows from (1).
>>>>>>>>>>>>>>>>>> We can't move on from this one point until we have
>>>>>>>>>>>>>>>>>> mutual agreement.
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> Very strange then, why are you arguing about that which
>>>>>>>>>>>>>>>>> was accepted unless you disagree to the conditions that
>>>>>>>>>>>>>>>>> they were accepted under?
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> It has long been accepted that the under the
>>>>>>>>>>>>>>>>> hypothetical condition where H can actually determine
>>>>>>>>>>>>>>>>> that the UTM will run forever, it is correct (and in
>>>>>>>>>>>>>>>>> fact needed to be correct) for H to go to H.Qn and say
>>>>>>>>>>>>>>>>> non-halting.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> OKAY so then you agree with this?
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> (1) Premise: When the correctly simulated INPUT to
>>>>>>>>>>>>>>>> embedded_H
>>>>>>>>>>>>>>>> cannot possibly reach its final state
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> (2) Conclusion: It is necessarily correct for embedded_H to
>>>>>>>>>>>>>>>> report that its correctly simulated INPUT cannot possibly
>>>>>>>>>>>>>>>> reach its final state.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> Under the definition that 'correctly simulated input' is
>>>>>>>>>>>>>>> as determined by a UTM, not H (if it aborts its simulation).
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> It is only stipulated to be correct other details are
>>>>>>>>>>>>>> currently unspecified.
>>>>>>>>>>>>>
>>>>>>>>>>>>> That isn't a 'stipulation', that is a DEFINITION.
>>>>>>>>>>>>>
>>>>>>>>>>>>> This is obviously your attempt at being a weasel.
>>>>>>>>>>>>>
>>>>>>>>>>>>> The DEFINITION of correct simulation is the results of a
>>>>>>>>>>>>> UTM simulating the input.
>>>>>>>>>>>>>
>>>>>>>>>>>>> Any deviaiton in this means you are just eating your POOP.
>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> It also does not presume that H CAN determine that this
>>>>>>>>>>>>>>> condition exists, so it would be correct, but H might not
>>>>>>>>>>>>>>> be able to decide to do so. So it may be correct for it
>>>>>>>>>>>>>>> to do so, but it might not actually be able to do it.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> There is also the case you tend to ignore that you start
>>>>>>>>>>>>>>> with an H that is defined to NOT abort, but you try to
>>>>>>>>>>>>>>> use (2) to claim that it now can abort, the H is (2) must
>>>>>>>>>>>>>>> be the same H that the H^ in (1) was built form
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> All of these restrictions are actually in the actual
>>>>>>>>>>>>>>> meaning of the words you are using, from the context of
>>>>>>>>>>>>>>> the problem, but I state them because knowing you, you
>>>>>>>>>>>>>>> are going to try to break that restrictions.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> This seems to be the very first time that you actually
>>>>>>>>>>>>>> paid close attention, good jo
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> As I asked, how is that different from the statement of
>>>>>>>>>>>>>>> the requirements on H?
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> We define Linz H to base its halt status decision on the
>>>>>>>>>>>>>> behavior of its pure simulation of N steps of its input. N
>>>>>>>>>>>>>> is either the number of steps that it takes for its
>>>>>>>>>>>>>> simulated input to reach its final state or the number of
>>>>>>>>>>>>>> steps required for H to match an infinite behavior pattern
>>>>>>>>>>>>>> proving that its simulated input would never reach its own
>>>>>>>>>>>>>> final state. In this case H aborts the simulation of this
>>>>>>>>>>>>>> input and transitions to H.qn.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> Note, The correct answer is NOT based on a simulation of N
>>>>>>>>>>>>> steps, but a simulation by a UTM which will run until it
>>>>>>>>>>>>> halts.
>>>>>>>>>>>>>
>>>>>>>>>>>>> H needs to make ITS decision on the limited N step, so it
>>>>>>>>>>>>> needs to prove that its answer matches.
>>>>>>>>>>>>>
>>>>>>>>>>>>> Remember, when we do this run, H is defined, and thus N is
>>>>>>>>>>>>> a SPECIFIC number, not an 'arbitrary' number.
>>>>>>>>>>>>>
>>>>>>>>>>>>> You also will need to some how prove that a pattern exists
>>>>>>>>>>>>> in N steps that correct dectect non-halting.
>>>>>>>>>>>>>
>>>>>>>>>>>>> This has been previously shown to be impossible, so you
>>>>>>>>>>>>> need to actually come up with it or show an actual error in
>>>>>>>>>>>>> the proof. You can't just assume it exists.
>>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> Great we can move to the next step:
>>>>>>>>>>>>
>>>>>>>>>>>> (1) Premise: When embedded_H correctly determines its
>>>>>>>>>>>> simulated INPUT to
>>>>>>>>>>>> embedded_H cannot possibly reach its final state
>>>>>>>>>>>>
>>>>>>>>>>>> (2) Conclusion: It is necessarily correct for embedded_H to
>>>>>>>>>>>> report that its correctly simulated INPUT cannot possibly
>>>>>>>>>>>> reach its final state.
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>> WARNING, you are getting way into hypothecctica Unicoprn
>>>>>>>>>>> Terretory, but lets unpack this statement.
>>>>>>>>>>>
>>>>>>>>>>> IF H can correctly deteremine (that means that there needs to
>>>>>>>>>>> exist a finite algroithm to determine this case, and that
>>>>>>>>>>> this result matches the behavior demonstrated by the
>>>>>>>>>>> definitional UTM simulataion of this input), that the input
>>>>>>>>>>> will NEVER reach it final state,
>>>>>>>>>>>
>>>>>>>>>>> Then yes, it is correct for H to report that its input can
>>>>>>>>>>> not possible reach its final state.
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> Great we have finally begun an honest dialogue.
>>>>>>>>>>
>>>>>>>>>>> Note, that if H does this, then the proof that the input
>>>>>>>>>>> never reached its final state must have included that fact
>>>>>>>>>>> that the copy of H inside H^ will also do the exact same
>>>>>>>>>>> thing with the exact same input.
>>>>>>>>>>>
>>>>>>>>>>> Also, to show the premise is True, you need to be able to
>>>>>>>>>>> PROVE or actually provide the exact finite algorithm that it
>>>>>>>>>>> used to detemine this fact.
>>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> When embedded_H simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩ these steps would
>>>>>>>>>> keep repeating:
>>>>>>>>>> Ĥ copies its input ⟨Ĥ⟩ to ⟨Ĥ⟩ then embedded_H simulates ⟨Ĥ⟩
>>>>>>>>>> ⟨Ĥ⟩...
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>
>>>>>>>>> Only if H doesn't abort it simulation.
>>>>>>>>>
>>>>>>>>
>>>>>>>> On the basis that the pure simulation of N steps matches an
>>>>>>>> infinitely repeating pattern embedded_H can correctly determine
>>>>>>>> that this simulated input cannot possibly reach its final state
>>>>>>>> whether or not embedded_H aborts its simulation of this input.
>>>>>>>
>>>>>>> WHAT N Step pattern shows that H^ <H^> is non-halting.
>>>>>>>
>>>>>>
>>>>>> When embedded_H simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩ these steps would
>>>>>> keep repeating:
>>>>>> Ĥ copies its input ⟨Ĥ⟩ to ⟨Ĥ⟩ then embedded_H simulates ⟨Ĥ⟩ ⟨Ĥ⟩...
>>>>>
>>>>> If that is what happens, then obviously H never aborted its
>>>>> simulation, so it CAN'T.
>>>>>
>>>>>
>>>>
>>>> As soon as embedded_H correctly recognizes this infinitely repeating
>>>> pattern in its correct simulation of N steps of its input it is
>>>> necessarily correct for it to report that that its simulated input
>>>> cannot possibly ever reach its halt state.
>>>
>>> Only if it proved that it was correct if it does abort and go to
>>> H.Qn, which it can't.
>> With logical entailment the conclusion follows from the premise(s) by
>> logical necessity.
>>
>> (1) As soon as embedded_H correctly recognizes this infinitely
>> repeating pattern in its correct simulation of N steps of its input
>
> Which makes the falicay of assuming there is a CORRECT pattern for H to
> detect in H^, and that H has the ability to detect it.
>

You are either dishonest or not bright enough to see that this is a
pattern that would be very easy to match, so I guess I am finally done
with you.

When embedded_H simulates ⟨Ĥ⟩ applied to ⟨Ĥ⟩ these steps would
keep repeating:
Ĥ copies its input ⟨Ĥ⟩ to ⟨Ĥ⟩ then embedded_H simulates ⟨Ĥ⟩ ⟨Ĥ⟩...

> I have already shown that the pattern you claim in not correct if H can
> detect it.
>
> More Fairy Dust powered Unicorns.
>
> FAIL.
>
>>
>> (2) it is necessarily correct for it to report that that its simulated
>> input cannot possibly ever reach its halt state.
>>
>
> Since (1) isn't established, (2) can't follow. FAIL.

--
Copyright 2021 Pete Olcott

Talent hits a target no one else can hit;
Genius hits a target no one else can see.
Arthur Schopenhauer

SubjectRepliesAuthor
o Concise refutation of halting problem proofs V52 [ Linz Proof ]

By: olcott on Sat, 22 Jan 2022

56olcott
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