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|    comp.ai.philosophy    |    Perhaps we should ask SkyNet about this    |    59,235 messages    |
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|    Message 57,541 of 59,235    |
|    Richard Damon to olcott    |
|    Re: Halting Problem Proof ERROR (2/2)    |
|    19 Jul 25 13:23:27    |
      [continued from previous message]              >>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞,       >>>>> if Ĥ applied to ⟨Ĥ⟩ halts, and       >>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn       >>>>> if Ĥ applied to ⟨Ĥ⟩ does not halt.       >>>>>       >>>>> <*Halting Problem Proof ERROR*>       >>>>>       >>>>> Requires Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ to report on the       >>>>> direct execution of Ĥ applied to ⟨Ĥ⟩ and thus not       >>>>> ⟨Ĥ⟩ ⟨Ĥ⟩ correctly simulated by Ĥ.embedded_H.       >>>>>       >>>>> No Turing Machine decider can ever report on the       >>>>> behavior of anything that is not an input encoded       >>>>> as a finite string.       >>>>>       >>>>> Ĥ is not a finite string input to Ĥ.embedded_H       >>>>> ⟨Ĥ⟩ ⟨Ĥ⟩ are finite string inputs to Ĥ.embedded_H       >>>>>       >>>>> *Halting Problem Proof ERROR*>       >>>>>       >>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞       >>>>> ⟨Ĥ⟩ ⟨Ĥ⟩ simulated by Ĥ.embedded_H reaches       >>>>> its simulated final halt state of ⟨Ĥ.qn⟩, and       >>>>>       >>>>> Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn       >>>>> ⟨Ĥ⟩ ⟨Ĥ⟩ simulated by Ĥ.embedded_H cannot possibly       >>>>> reach its simulated final halt state of ⟨Ĥ.qn⟩.       >>>>>       >>>>> When Ĥ is applied to ⟨Ĥ⟩ and embedded_H is a       >>>>> simulating partial halt decider       >>>>> (a) Ĥ copies its input ⟨Ĥ⟩       >>>>> (b) Ĥ invokes embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩       >>>>> (c) embedded_H simulates ⟨Ĥ⟩ ⟨Ĥ⟩       >>>>> (d) simulated ⟨Ĥ⟩ copies its input ⟨Ĥ⟩       >>>>> (e) simulated ⟨Ĥ⟩ invokes simulated embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩       >>>>> (f) simulated embedded_H simulates ⟨Ĥ⟩ ⟨Ĥ⟩       >>>>> (g) goto (d) with one more level of simulation until       >>>>> *embedded_H sees the repeating pattern and transitions to Ĥ.qn*       >>>>       >>>> But when this is only finite repeating pattern,       >>>       >>> The infinite simulation of ⟨Ĥ⟩ ⟨Ĥ⟩ by embedded_H       >>> cannot possibly reach its own simulated final       >>> halt state of ⟨Ĥ.qn⟩ you fucking moron.       >>>       >> But that infinite simulation exists only in your dreams and is       >> counter- factual. Ĥ aborts and the same abort code is present in       >> embedded_H (unless you are cheating), so there is no infinite       >> recursion, no infinite repeating pattern. The correct simulation will       >> reach the final halt state.       >       > When you change my words and use those words as the basis       > of your rebuttal you know that you cheat.       >       > The infinite simulation of ⟨Ĥ⟩ ⟨Ĥ⟩ by embedded_H       > cannot possibly reach its own simulated final       > halt state of ⟨Ĥ.qn⟩ you fucking moron.              Which is just a strawman, as the definition of non-halting behavior of       the input, is that when the machine the input describes, in this case       the machibe Ĥ ⟨Ĥ⟩, will never stop running when run, even if carried out       to an unbounded number of steps, but since H and thus embedded_H which       is a copy of it DO abort their simulations and go to Qn and thus the       actual machine Ĥ ⟨Ĥ⟩ halts, it must be wrong.              Basing your arguement on Strawmen, even after the error has been pointed       out just establishes that you are just a pathological liar.              >       >> We know that Ĥ fails to do this correct simulation. And performs a       >> premature abort before it reaches that final halt state. Aborting a       >> simulation before it can reach the final halt state is no measure for       >> non-halting behaviour, it is only evidence that simulation is not the       >> right too for this input to determine halting behaviour.       >       >              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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