• Re: There are zero chances in Hell that I will quit this --- Survival o

    From Mr Flibble@21:1/5 to olcott on Sat Aug 2 02:21:16 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has
    nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at
    this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding of
    truth.

    The Tarski Undefinability theorem that incorrectly "proves" that a
    Boolean True(L,x) predicate cannot be consistently defined relies on the
    same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't proven
    otherwise.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sat Aug 2 02:44:10 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has
    nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at
    this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding of
    truth.

    The Tarski Undefinability theorem that incorrectly "proves" that a
    Boolean True(L,x) predicate cannot be consistently defined relies on
    the same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't proven
    otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on the
    basis of an expression of language that is not a truth bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven that it does not
    prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this* https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its simulated
    final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is concerned with
    total deciders not partial deciders. Again: your work has nothing to do
    with the Halting Problem.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sat Aug 2 02:57:31 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has
    nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at >>>>>> this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding of
    truth.

    The Tarski Undefinability theorem that incorrectly "proves" that a
    Boolean True(L,x) predicate cannot be consistently defined relies on >>>>> the same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't proven
    otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on the
    basis of an expression of language that is not a truth bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely recursive
    structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven that it does not
    prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this*
    https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its simulated
    final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is concerned with
    total deciders not partial deciders. Again: your work has nothing to
    do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof methodology fails
    but you are failing to do so as your method is predicated on partial
    deciders not total deciders so has nothing to do with the HALTING PROBLEM
    or HALTING PROBLEM proofs.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sat Aug 2 03:41:05 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 22:33:45 -0500, olcott wrote:

    On 8/1/2025 9:57 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has >>>>>>>> nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other >>>>>>>> at this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding >>>>>>> of truth.

    The Tarski Undefinability theorem that incorrectly "proves" that a >>>>>>> Boolean True(L,x) predicate cannot be consistently defined relies >>>>>>> on the same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't
    proven otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on the >>>>> basis of an expression of language that is not a truth bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely
    recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven that it does not
    prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this*
    https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞ Ĥ.q0 ⟨Ĥ⟩ ⊢*
    Ĥ.embedded_H ⟨Ĥ⟩
    ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its simulated >>>>> final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is concerned
    with total deciders not partial deciders. Again: your work has
    nothing to do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof methodology
    fails but you are failing to do so as your method is predicated on
    partial deciders not total deciders so has nothing to do with the
    HALTING PROBLEM or HALTING PROBLEM proofs.

    /Flibble


    *See what you think of this* https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c

    LLM token prediction is sensitive to the actual words used in the prompt,
    so:

    Me:

    What if it is a HHH is halting decider rather than a "termination
    analyser"?

    ChatGPT:

    If HHH is a “halting decider” instead of a “termination analyzer,” then the implications change dramatically, because:

    A halting decider is a hypothetical function that returns:

    * 1 if its input function halts (terminates) on a given input.
    * 0 if the input function does not halt on that input.

    And importantly, it makes this decision without actually executing or simulating the full behavior—it determines the result without falling into infinite regress.

    But such a function is known to be impossible in general due to the
    Halting Problem: Turing proved there is no algorithm that can decide
    whether any given program halts on a given input.

    Still, let’s assume HHH is a magical halting decider for this language.

    Now let’s re-express the code and reasoning:

    Code Recap:

    ```c
    typedef void (*ptr)();
    int HHH(ptr P); // halting decider: returns 1 if P terminates, 0 if not

    void DDD() {
    HHH(DDD); // calls halting decider on itself
    return;
    }

    int main() {
    HHH(DDD); // checks if DDD halts
    DDD(); // calls DDD
    }
    ```

    Let’s assume HHH works perfectly. So:

    * HHH(DDD) checks whether DDD halts.

    Does DDD halt?

    Let’s expand DDD:

    * DDD calls HHH(DDD)
    * Then returns.

    So DDD definitely halts, regardless of what HHH returns. It just asks HHH something and then returns.

    Therefore, DDD terminates.

    So the halting decider HHH(DDD) must return 1.

    Thus:

    * In main(), HHH(DDD) returns 1
    * Then DDD() is called, which again calls HHH(DDD), returns 1, and then
    returns

    Everything halts cleanly.

    ✅ Summary (if HHH is a true halting decider):

    * DDD is terminating
    * HHH(DDD) returns 1
    * No infinite regress occurs, because HHH doesn’t simulate—just decides

    Compare to original “termination analyzer” version, which simulates execution and thereby enters infinite regress.

    🧠 Bottom Line:

    * HHH as a simulator: gets stuck simulating a self-referential call —
    returns 0
    * HHH as a decider: easily sees DDD halts — returns 1

    Which highlights the Halting Problem's essence: The analyzer (which uses simulation) gets trapped, while the decider (which is impossible in
    practice) avoids the trap by divine insight.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sat Aug 2 04:05:51 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 22:55:57 -0500, olcott wrote:

    On 8/1/2025 10:41 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:33:45 -0500, olcott wrote:

    On 8/1/2025 9:57 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about >>>>>>>>>> has nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each >>>>>>>>>> other at this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding >>>>>>>>> of truth.

    The Tarski Undefinability theorem that incorrectly "proves" that >>>>>>>>> a Boolean True(L,x) predicate cannot be consistently defined >>>>>>>>> relies on the same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't
    proven otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on >>>>>>> the basis of an expression of language that is not a truth bearer. >>>>>>>
    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely
    recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven that it does
    not prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this*
    https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞ Ĥ.q0 ⟨Ĥ⟩ ⊢*
    Ĥ.embedded_H ⟨Ĥ⟩
    ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its
    simulated final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is concerned >>>>>> with total deciders not partial deciders. Again: your work has
    nothing to do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof methodology
    fails but you are failing to do so as your method is predicated on
    partial deciders not total deciders so has nothing to do with the
    HALTING PROBLEM or HALTING PROBLEM proofs.

    /Flibble


    *See what you think of this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c

    LLM token prediction is sensitive to the actual words used in the
    prompt,
    so:

    Me:

    What if it is a HHH is halting decider rather than a "termination
    analyser"?

    ChatGPT:

    If HHH is a “halting decider” instead of a “termination analyzer,” then
    the implications change dramatically, because:

    A halting decider is a hypothetical function that returns:

    * 1 if its input function halts (terminates) on a given input.
    * 0 if the input function does not halt on that input.

    And importantly, it makes this decision without actually executing or
    simulating the full behavior—it determines the result without falling
    into infinite regress.

    But such a function is known to be impossible in general due to the
    Halting Problem: Turing proved there is no algorithm that can decide
    whether any given program halts on a given input.

    Still, let’s assume HHH is a magical halting decider for this language.

    Now let’s re-express the code and reasoning:

    Code Recap:

    ```c typedef void (*ptr)();
    int HHH(ptr P); // halting decider: returns 1 if P terminates, 0 if
    not

    void DDD() {
    HHH(DDD); // calls halting decider on itself return;
    }

    int main() {
    HHH(DDD); // checks if DDD halts DDD(); // calls DDD
    }
    ```

    Let’s assume HHH works perfectly. So:

    * HHH(DDD) checks whether DDD halts.

    Does DDD halt?

    Let’s expand DDD:

    * DDD calls HHH(DDD)
    * Then returns.

    So DDD definitely halts, regardless of what HHH returns. It just asks
    HHH something and then returns.

    Therefore, DDD terminates.

    So the halting decider HHH(DDD) must return 1.

    Thus:

    * In main(), HHH(DDD) returns 1 * Then DDD() is called, which again
    calls HHH(DDD), returns 1, and then returns

    Everything halts cleanly.

    ✅ Summary (if HHH is a true halting decider):

    * DDD is terminating * HHH(DDD) returns 1 * No infinite regress occurs,
    because HHH doesn’t simulate—just decides

    Compare to original “termination analyzer” version, which simulates
    execution and thereby enters infinite regress.

    🧠 Bottom Line:

    * HHH as a simulator: gets stuck simulating a self-referential call —
    returns 0 * HHH as a decider: easily sees DDD halts — returns 1

    Which highlights the Halting Problem's essence: The analyzer (which
    uses simulation) gets trapped, while the decider (which is impossible
    in practice) avoids the trap by divine insight.

    /Flibble

    *To get an accurate view of what I am saying you must read this* https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c ChatGPT
    seems to explain it more clearly than I can explain it.

    You cannot get an accurate view of what you are saying by using a
    stochastic parrot if you load the dice by using prompt manipulation to get
    the parrot to give you a favourable response (like you did by using the
    term "termination analyser" instead of the term "halt decider").

    Please tell me, which part of the following sentence don't you understand:

    Halting problem proofs are predicated on total deciders so you cannot use
    a partial decider to refute a halting problem proof.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to olcott on Sat Aug 2 04:25:35 2025
    XPost: comp.theory, sci.logic

    On Fri, 01 Aug 2025 23:11:47 -0500, olcott wrote:

    On 8/1/2025 11:05 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:55:57 -0500, olcott wrote:

    On 8/1/2025 10:41 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:33:45 -0500, olcott wrote:

    On 8/1/2025 9:57 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about >>>>>>>>>>>> has nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each >>>>>>>>>>>> other at this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct
    understanding of truth.

    The Tarski Undefinability theorem that incorrectly "proves" >>>>>>>>>>> that a Boolean True(L,x) predicate cannot be consistently >>>>>>>>>>> defined relies on the same structure as the conventional HP >>>>>>>>>>> proofs.

    False. Diagonalization is a legitimate technique: you haven't >>>>>>>>>> proven otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on >>>>>>>>> the basis of an expression of language that is not a truth
    bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely
    recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven that it does >>>>>>>>> not prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this*
    https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞ Ĥ.q0 ⟨Ĥ⟩ ⊢*
    Ĥ.embedded_H ⟨Ĥ⟩
    ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its
    simulated final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is
    concerned with total deciders not partial deciders. Again: your >>>>>>>> work has nothing to do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof methodology >>>>>> fails but you are failing to do so as your method is predicated on >>>>>> partial deciders not total deciders so has nothing to do with the
    HALTING PROBLEM or HALTING PROBLEM proofs.

    /Flibble


    *See what you think of this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c

    LLM token prediction is sensitive to the actual words used in the
    prompt,
    so:

    Me:

    What if it is a HHH is halting decider rather than a "termination
    analyser"?

    ChatGPT:

    If HHH is a “halting decider” instead of a “termination analyzer,” >>>> then the implications change dramatically, because:

    A halting decider is a hypothetical function that returns:

    * 1 if its input function halts (terminates) on a given input.
    * 0 if the input function does not halt on that input.

    And importantly, it makes this decision without actually executing or
    simulating the full behavior—it determines the result without falling >>>> into infinite regress.

    But such a function is known to be impossible in general due to the
    Halting Problem: Turing proved there is no algorithm that can decide
    whether any given program halts on a given input.

    Still, let’s assume HHH is a magical halting decider for this
    language.

    Now let’s re-express the code and reasoning:

    Code Recap:

    ```c typedef void (*ptr)();
    int HHH(ptr P); // halting decider: returns 1 if P terminates, 0 if
    not

    void DDD() {
    HHH(DDD); // calls halting decider on itself return;
    }

    int main() {
    HHH(DDD); // checks if DDD halts DDD(); // calls DDD
    }
    ```

    Let’s assume HHH works perfectly. So:

    * HHH(DDD) checks whether DDD halts.

    Does DDD halt?

    Let’s expand DDD:

    * DDD calls HHH(DDD)
    * Then returns.

    So DDD definitely halts, regardless of what HHH returns. It just asks
    HHH something and then returns.

    Therefore, DDD terminates.

    So the halting decider HHH(DDD) must return 1.

    Thus:

    * In main(), HHH(DDD) returns 1 * Then DDD() is called, which again
    calls HHH(DDD), returns 1, and then returns

    Everything halts cleanly.

    ✅ Summary (if HHH is a true halting decider):

    * DDD is terminating * HHH(DDD) returns 1 * No infinite regress
    occurs, because HHH doesn’t simulate—just decides

    Compare to original “termination analyzer” version, which simulates >>>> execution and thereby enters infinite regress.

    🧠 Bottom Line:

    * HHH as a simulator: gets stuck simulating a self-referential call — >>>> returns 0 * HHH as a decider: easily sees DDD halts — returns 1

    Which highlights the Halting Problem's essence: The analyzer (which
    uses simulation) gets trapped, while the decider (which is impossible
    in practice) avoids the trap by divine insight.

    /Flibble

    *To get an accurate view of what I am saying you must read this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c ChatGPT
    seems to explain it more clearly than I can explain it.

    You cannot get an accurate view of what you are saying by using a
    stochastic parrot if you load the dice by using prompt manipulation to
    get the parrot to give you a favourable response (like you did by using
    the term "termination analyser" instead of the term "halt decider").


    I use the term termination analyzer because it is not required to be infallible and its operation can be concretely defined in a high level language.

    No, you used that term to get ChatGPT to give you a favourable response unrelated to the halting problem. Ask ChatGPT, "What if HHH is a halt
    decider rather than a termination analyser?".


    Please tell me, which part of the following sentence don't you
    understand:

    Halting problem proofs are predicated on total deciders so you cannot
    use a partial decider to refute a halting problem proof.

    /Flibble

    I have studied this for 22 years. The way that the HP proof is supposed
    to work is to hypothesize that a universal halt decider exists. Then all
    that is needed is a single counter-example that cannot be decided and
    this refutes that a universal halt decider exists.

    You are not working on the halting problem, you are working on the Olcott problem, wasting 22 years.

    /Flibble

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Fred. Zwarts@21:1/5 to All on Sat Aug 2 11:38:03 2025
    XPost: comp.theory, sci.logic

    Op 02.aug.2025 om 04:09 schreef olcott:
    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has nothing
    to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at this
    point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct
    understanding of truth.

    The Tarski Undefinability theorem that incorrectly
    "proves" that a Boolean True(L,x) predicate cannot
    be consistently defined relies on the same structure
    as the conventional HP proofs.

    Because of this humans have no perfectly objective
    way to discern truth from very well crafted lies,
    thus the well crafted lies win.

    Richard is still trying to get away with saying that
    the repeating pattern shown below does not exist.

    void DDD()
    {
      HHH(DDD);
      return;
    }

    HHH simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)


    As usual incorrect claims without evidence.
    A finite recursion is not a non-halting behaviour.

    You are trying to get away with the idea that if you close your eyes for
    the halting behaviour, it does not exists.
    The simulating HHH aborts before it reaches the final halt state of the simulated HHH that has the same code to abort, so it does not see it and pretends that it does not exist.

    Changing the meaning of the words will not help you to find the truth.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Aug 2 09:14:12 2025
    XPost: comp.theory, sci.logic

    On 8/1/25 10:09 PM, olcott wrote:
    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has nothing
    to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at this
    point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct
    understanding of truth.

    No, every attempt at you trying to explain your logic has been
    counter-factual

    All you arguing has done is validate the bad logic used by the climate
    deniers.


    The Tarski Undefinability theorem that incorrectly
    "proves" that a Boolean True(L,x) predicate cannot
    be consistently defined relies on the same structure
    as the conventional HP proofs.

    And it is true, but you don't understand what it means.


    Because of this humans have no perfectly objective
    way to discern truth from very well crafted lies,
    thus the well crafted lies win.

    Nope, and it just shows you don't have an objective view of truth,

    The truth is that not all truth is knowable, and you need to learn to
    live with that.

    That some truth is not knowable, doesn't mean that no truth is knowable,
    and that error goes back to some of your fundamental errors in
    understanding of how logic works, as shown by your use of so many
    logical fallacies,


    Richard is still trying to get away with saying that
    the repeating pattern shown below does not exist.

    Because it doesn't happen with your actual HHH.

    Only in your lies where you change what HHH is,



    void DDD()
    {
      HHH(DDD);
      return;
    }

    HHH simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)


    And if that WAS true, then HHH can never stop to answer and is just as
    wrong as YOU.

    All you are doing is proving you are a LIAR that is too stupid to
    understand what truth is,

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Aug 2 14:47:40 2025
    XPost: comp.theory, sci.logic

    On 8/1/25 10:36 PM, olcott wrote:
    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has
    nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at
    this point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct understanding of
    truth.

    The Tarski Undefinability theorem that incorrectly "proves" that a
    Boolean True(L,x) predicate cannot be consistently defined relies on the >>> same structure as the conventional HP proofs.

    False. Diagonalization is a legitimate technique: you haven't proven
    otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently
    defined on the basis of an expression of language that
    is not a truth bearer.

    Right


    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf


    Nope, just the fact that if True existed, it would need to be able to
    solve the liar's paradox.

    Prolog proves that the Liar Paradox has the
    same infinitely recursive structure as the HP proof:

    Nope, just that Prolog can't handle the needed level of logic.

    Just like you.


    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof
    https://liarparadox.org/Tarski_275_276.pdf

    I spent 22 years on the Linz proof and have proven
    that it does not prove that halting is undecidable.

    Sure it does, you just keep lying about what you are doing>
    *From the bottom of page 319 has been adapted to this* https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly
    reach its simulated final halt state of ⟨Ĥ.qn⟩


    But the program it is simulating can, as the embedded_h started in (c)
    will eventually abort its simulation and transition to qn and H^ will
    halt. It doesn't matter that an aborted simulation doesn't reach a final
    state.

    If it won't then your H fails to be a decider.

    All your "logic" is just based on using fuzzy and incorrect definitions.

    SInce you have yet to show a source for any of your complaints about the
    errors I have shown, you have effectively admitted that you have no
    basis for your claims.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sat Aug 2 23:08:50 2025
    XPost: comp.theory, sci.logic

    On 8/2/25 9:54 AM, olcott wrote:
    On 8/2/2025 8:14 AM, Richard Damon wrote:
    On 8/1/25 10:09 PM, olcott wrote:
    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about has
    nothing
    to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each other at
    this
    point.

    /Flibble

    Every attempt to refute me has been counter-factual.
    The survival of life an Earth depends on a correct
    understanding of truth.

    No, every attempt at you trying to explain your logic has been
    counter- factual

    All you arguing has done is validate the bad logic used by the climate
    deniers.


    Severe anthropogenic climate change proven
    entirely with verifiable facts
    October 2019 PL Olcott
    https://www.researchgate.net/ publication/336568434_Severe_anthropogenic_climate_change_proven_entirely_with_verifiable_facts

    Not "Proven" in the logical sense, just a very sketchy argument.



    The Tarski Undefinability theorem that incorrectly
    "proves" that a Boolean True(L,x) predicate cannot
    be consistently defined relies on the same structure
    as the conventional HP proofs.

    And it is true, but you don't understand what it means.


    Anyone that does not understand Tarski can say that.
    The more difficult thing is to show any specific mistake
    that I made.

    You just say that a statement he PROVED just can't be true, without
    showing the error in the logic, in part because you start in the middle
    of the proof and don't notice that he is calling up something proven previously.

    You already know the mistake that Tarski made.
    You understand that this sentence: "This sentence is not true"
    is neither true nor false. Tarski didn't understand that.

    Right, but he has shown (with reference to Godel) that *IF* a Truth
    Predicate exists, (per his defiition) then the system needs to be able
    to answer about that statement.

    Your problem is you don't understand the nature of the logic that gets
    you there, in part because you don't understand what meta-systems are or
    even really what formal logic is.



    Because of this humans have no perfectly objective
    way to discern truth from very well crafted lies,
    thus the well crafted lies win.

    Nope, and it just shows you don't have an objective view of truth,


    When starting with the basic facts of the world and only
    applying semantic logical entailment as the inference steps
    we always derive statements that  are true.

    Which isn't Formal Logic, as Formal Logic starts with the set of
    stipulated truths and definitions, and sees what can be derived from that.

    The problem with your system is we don't know the "basic facts" of the
    world. We have a collection of observations of the world, but not what
    the facts actually are.


    The truth is that not all truth is knowable, and you need to learn to
    live with that.


    Yet whether or not election fraud changed the outcome
    of the 2020 election is known truth.

    Nope, there is strong evidence for one side, but evidence is not proof,
    as you can always argue about the reliability of the evidence.

    The problem is you are talking about things that are inherently
    emperical, but want to treat them as analytical.


    That some truth is not knowable, doesn't mean that no truth is
    knowable, and that error goes back to some of your fundamental errors
    in understanding of how logic works, as shown by your use of so many
    logical fallacies,


    Richard is still trying to get away with saying that
    the repeating pattern shown below does not exist.

    Because it doesn't happen with your actual HHH.

    Only in your lies where you change what HHH is,



    Simulating Termination Analyzer HHH correctly simulates its input until:
    (a) It detects a non-terminating behavior pattern then it aborts its simulation and returns 0,
    (b) Its simulated input reaches its simulated "return" statement then it returns 1.

    Except it doesn't, as it abort on a pattern that is not non-terminating
    when the input is a representation of a program, and thus includes all
    it code, and thus will be diffetent for each of your deciders.


    Below is the pattern that DDD simulated by HHH
    would produce if it took HHH ten recursive
    simulations to detect the repeating pattern.

    Right, but the HHH that DDD was built on doesn't do that, unless you are stipulating that that IS the HHH your claim is correct.

    The problem is all those inputs are DIFFERENT, because if they don't
    include the HHH that they are built on, then "the input" can't be
    simulated by a program (per the term-of-art for the field) past the call
    HHH instruciton, as there is no input there.

    Sorry, you paint yourself into a courner by not knowing what your words
    mean.



    void DDD()
    {
       HHH(DDD);
       return;
    }

    HHH simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)
    that simulates DDD that calls HHH(DDD)


    And if that WAS true, then HHH can never stop to answer and is just as
    wrong as YOU.


    Above is the pattern that DDD simulated by HHH
    would produce if it took HHH ten recursive
    simulations to detect the repeating pattern.

    But, since that isn't the HHH that exist, you are just showing that you
    are just a stupid pathological liar, that is too stupid to see you error.


    All you are doing is proving you are a LIAR that is too stupid to
    understand what truth is,




    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Richard Damon@21:1/5 to olcott on Sun Aug 3 07:05:50 2025
    XPost: comp.theory, sci.logic

    On 8/2/25 12:59 AM, olcott wrote:
    On 8/1/2025 11:25 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 23:11:47 -0500, olcott wrote:

    On 8/1/2025 11:05 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:55:57 -0500, olcott wrote:

    On 8/1/2025 10:41 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:33:45 -0500, olcott wrote:

    On 8/1/2025 9:57 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on about >>>>>>>>>>>>>> has nothing to do with the Halting Problem.

    Damon, stop feeding Olcott: you are just talking over each >>>>>>>>>>>>>> other at this point.

    /Flibble

    Every attempt to refute me has been counter-factual. >>>>>>>>>>>>> The survival of life an Earth depends on a correct
    understanding of truth.

    The Tarski Undefinability theorem that incorrectly "proves" >>>>>>>>>>>>> that a Boolean True(L,x) predicate cannot be consistently >>>>>>>>>>>>> defined relies on the same structure as the conventional HP >>>>>>>>>>>>> proofs.

    False. Diagonalization is a legitimate technique: you haven't >>>>>>>>>>>> proven otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined on >>>>>>>>>>> the basis of an expression of language that is not a truth >>>>>>>>>>> bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely >>>>>>>>>>> recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf >>>>>>>>>>>
    I spent 22 years on the Linz proof and have proven that it does >>>>>>>>>>> not prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this*
    https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞ Ĥ.q0 ⟨Ĥ⟩ ⊢*
    Ĥ.embedded_H ⟨Ĥ⟩
    ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its >>>>>>>>>>> simulated final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is
    concerned with total deciders not partial deciders.  Again: your >>>>>>>>>> work has nothing to do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof methodology >>>>>>>> fails but you are failing to do so as your method is predicated on >>>>>>>> partial deciders not total deciders so has nothing to do with the >>>>>>>> HALTING PROBLEM or HALTING PROBLEM proofs.

    /Flibble


    *See what you think of this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c

    LLM token prediction is sensitive to the actual words used in the
    prompt,
    so:

    Me:

    What if it is a HHH is halting decider rather than a "termination
    analyser"?

    ChatGPT:

    If HHH is a “halting decider” instead of a “termination analyzer,”
    then the implications change dramatically, because:

    A halting decider is a hypothetical function that returns:

    * 1 if its input function halts (terminates) on a given input.
    * 0 if the input function does not halt on that input.

    And importantly, it makes this decision without actually executing or >>>>>> simulating the full behavior—it determines the result without falling >>>>>> into infinite regress.

    But such a function is known to be impossible in general due to the >>>>>> Halting Problem: Turing proved there is no algorithm that can decide >>>>>> whether any given program halts on a given input.

    Still, let’s assume HHH is a magical halting decider for this
    language.

    Now let’s re-express the code and reasoning:

    Code Recap:

    ```c typedef void (*ptr)();
    int HHH(ptr P);  // halting decider: returns 1 if P terminates, 0 if >>>>>> not

    void DDD() {
         HHH(DDD);  // calls halting decider on itself return;
    }

    int main() {
         HHH(DDD);  // checks if DDD halts DDD();     // calls DDD >>>>>> }
    ```

    Let’s assume HHH works perfectly. So:

    * HHH(DDD) checks whether DDD halts.

    Does DDD halt?

    Let’s expand DDD:

    * DDD calls HHH(DDD)
    * Then returns.

    So DDD definitely halts, regardless of what HHH returns. It just asks >>>>>> HHH something and then returns.

    Therefore, DDD terminates.

    So the halting decider HHH(DDD) must return 1.

    Thus:

    * In main(), HHH(DDD) returns 1 * Then DDD() is called, which again >>>>>> calls HHH(DDD), returns 1, and then returns

    Everything halts cleanly.

    ✅ Summary (if HHH is a true halting decider):

    * DDD is terminating * HHH(DDD) returns 1 * No infinite regress
    occurs, because HHH doesn’t simulate—just decides

    Compare to original “termination analyzer” version, which simulates >>>>>> execution and thereby enters infinite regress.

    🧠 Bottom Line:

    * HHH as a simulator: gets stuck simulating a self-referential call — >>>>>> returns 0 * HHH as a decider: easily sees DDD halts — returns 1

    Which highlights the Halting Problem's essence: The analyzer (which >>>>>> uses simulation) gets trapped, while the decider (which is impossible >>>>>> in practice) avoids the trap by divine insight.

    /Flibble

    *To get an accurate view of what I am saying you must read this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c ChatGPT >>>>> seems to explain it more clearly than I can explain it.

    You cannot get an accurate view of what you are saying by using a
    stochastic parrot if you load the dice by using prompt manipulation to >>>> get the parrot to give you a favourable response (like you did by using >>>> the term "termination analyser" instead of the term "halt decider").


    I use the term termination analyzer because it is not required to be
    infallible and its operation can be concretely defined in a high level
    language.

    No, you used that term to get ChatGPT to give you a favourable response
    unrelated to the halting problem.  Ask ChatGPT, "What if HHH is a halt
    decider rather than a termination analyser?".


    Please tell me, which part of the following sentence don't you
    understand:

    Halting problem proofs are predicated on total deciders so you cannot
    use a partial decider to refute a halting problem proof.

    /Flibble

    I have studied this for 22 years. The way that the HP proof is supposed
    to work is to hypothesize that a universal halt decider exists. Then all >>> that is needed is a single counter-example that cannot be decided and
    this refutes that a universal halt decider exists.

    You are not working on the halting problem, you are working on the Olcott
    problem, wasting 22 years.

    /Flibble

    My prior paragraph is the basic structure of the halting problem proofs.


    Your problem is you don't find an error in the shown counter example,
    because your created input that you claim to solve has essential
    differences from it.

    The first one is that you keep on trying to use a non-program, that
    doesn't include all of its code, like a copy of the decider as part of it,

    IF you acknoledge that the code of HHH is part of DDD as well as being
    the decider, then your "simuation of DDD" becomes wrong, as you can't
    then ignore that the code of the copy of HHH that is in DDD will break
    the cycle you are seeing in just the function DDD.

    Sorry. all you are doing is showing that you think lying is ok, which
    goes counter to your claimed goal of finding a way to determine truth
    better.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mr Flibble@21:1/5 to Richard Damon on Sun Aug 3 12:09:54 2025
    XPost: comp.theory, sci.logic

    On Sun, 03 Aug 2025 07:05:50 -0400, Richard Damon wrote:

    On 8/2/25 12:59 AM, olcott wrote:
    On 8/1/2025 11:25 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 23:11:47 -0500, olcott wrote:

    On 8/1/2025 11:05 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:55:57 -0500, olcott wrote:

    On 8/1/2025 10:41 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 22:33:45 -0500, olcott wrote:

    On 8/1/2025 9:57 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:46:44 -0500, olcott wrote:

    On 8/1/2025 9:44 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:36:08 -0500, olcott wrote:

    On 8/1/2025 9:21 PM, Mr Flibble wrote:
    On Fri, 01 Aug 2025 21:09:14 -0500, olcott wrote:

    On 8/1/2025 8:01 PM, Mr Flibble wrote:
    Olcott, give it a fucking rest: what you are banging on >>>>>>>>>>>>>>> about has nothing to do with the Halting Problem. >>>>>>>>>>>>>>>
    Damon, stop feeding Olcott: you are just talking over each >>>>>>>>>>>>>>> other at this point.

    /Flibble

    Every attempt to refute me has been counter-factual. >>>>>>>>>>>>>> The survival of life an Earth depends on a correct >>>>>>>>>>>>>> understanding of truth.

    The Tarski Undefinability theorem that incorrectly "proves" >>>>>>>>>>>>>> that a Boolean True(L,x) predicate cannot be consistently >>>>>>>>>>>>>> defined relies on the same structure as the conventional HP >>>>>>>>>>>>>> proofs.

    False. Diagonalization is a legitimate technique: you >>>>>>>>>>>>> haven't proven otherwise.

    /Flibble

    Tarski "proved" that True(L,x) cannot be consistently defined >>>>>>>>>>>> on the basis of an expression of language that is not a truth >>>>>>>>>>>> bearer.

    Liar Paradox basis of his proof
    https://liarparadox.org/Tarski_247_248.pdf

    Prolog proves that the Liar Paradox has the same infinitely >>>>>>>>>>>> recursive structure as the HP proof:

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false

    His actual proof https://liarparadox.org/Tarski_275_276.pdf >>>>>>>>>>>>
    I spent 22 years on the Linz proof and have proven that it >>>>>>>>>>>> does not prove that halting is undecidable.

    *From the bottom of page 319 has been adapted to this* >>>>>>>>>>>> https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞ Ĥ.q0 ⟨Ĥ⟩
    ⊢*
    Ĥ.embedded_H ⟨Ĥ⟩
    ⟨Ĥ⟩ ⊢* 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⟩

    derives a repeating pattern that cannot possibly reach its >>>>>>>>>>>> simulated final halt state of ⟨Ĥ.qn⟩

    Sounds like 22 years of wasted effort as Linz's proof is >>>>>>>>>>> concerned with total deciders not partial deciders.  Again: >>>>>>>>>>> your work has nothing to do with the Halting Problem.

    /Flibble

    *I will repeat: I am not solving the halting problem*
    I am just showing that one proof method fails.

    You are attempting to show that a HALTING PROBLEM proof
    methodology fails but you are failing to do so as your method is >>>>>>>>> predicated on partial deciders not total deciders so has nothing >>>>>>>>> to do with the HALTING PROBLEM or HALTING PROBLEM proofs.

    /Flibble


    *See what you think of this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c

    LLM token prediction is sensitive to the actual words used in the >>>>>>> prompt,
    so:

    Me:

    What if it is a HHH is halting decider rather than a "termination >>>>>>> analyser"?

    ChatGPT:

    If HHH is a “halting decider” instead of a “termination analyzer,”
    then the implications change dramatically, because:

    A halting decider is a hypothetical function that returns:

    * 1 if its input function halts (terminates) on a given input.
    * 0 if the input function does not halt on that input.

    And importantly, it makes this decision without actually executing >>>>>>> or simulating the full behavior—it determines the result without >>>>>>> falling into infinite regress.

    But such a function is known to be impossible in general due to
    the Halting Problem: Turing proved there is no algorithm that can >>>>>>> decide whether any given program halts on a given input.

    Still, let’s assume HHH is a magical halting decider for this
    language.

    Now let’s re-express the code and reasoning:

    Code Recap:

    ```c typedef void (*ptr)();
    int HHH(ptr P);  // halting decider: returns 1 if P terminates, 0 >>>>>>> if not

    void DDD() {
         HHH(DDD);  // calls halting decider on itself return;
    }

    int main() {
         HHH(DDD);  // checks if DDD halts DDD();     // calls DDD >>>>>>> }
    ```

    Let’s assume HHH works perfectly. So:

    * HHH(DDD) checks whether DDD halts.

    Does DDD halt?

    Let’s expand DDD:

    * DDD calls HHH(DDD)
    * Then returns.

    So DDD definitely halts, regardless of what HHH returns. It just >>>>>>> asks HHH something and then returns.

    Therefore, DDD terminates.

    So the halting decider HHH(DDD) must return 1.

    Thus:

    * In main(), HHH(DDD) returns 1 * Then DDD() is called, which
    again calls HHH(DDD), returns 1, and then returns

    Everything halts cleanly.

    ✅ Summary (if HHH is a true halting decider):

    * DDD is terminating * HHH(DDD) returns 1 * No infinite regress
    occurs, because HHH doesn’t simulate—just decides

    Compare to original “termination analyzer” version, which
    simulates execution and thereby enters infinite regress.

    🧠 Bottom Line:

    * HHH as a simulator: gets stuck simulating a self-referential
    call — returns 0 * HHH as a decider: easily sees DDD halts — >>>>>>> returns 1

    Which highlights the Halting Problem's essence: The analyzer
    (which uses simulation) gets trapped, while the decider (which is >>>>>>> impossible in practice) avoids the trap by divine insight.

    /Flibble

    *To get an accurate view of what I am saying you must read this*
    https://chatgpt.com/share/688521d8-e5fc-8011-9d7c-0d77ac83706c
    ChatGPT seems to explain it more clearly than I can explain it.

    You cannot get an accurate view of what you are saying by using a
    stochastic parrot if you load the dice by using prompt manipulation
    to get the parrot to give you a favourable response (like you did by >>>>> using the term "termination analyser" instead of the term "halt
    decider").


    I use the term termination analyzer because it is not required to be
    infallible and its operation can be concretely defined in a high
    level language.

    No, you used that term to get ChatGPT to give you a favourable
    response unrelated to the halting problem.  Ask ChatGPT, "What if HHH
    is a halt decider rather than a termination analyser?".


    Please tell me, which part of the following sentence don't you
    understand:

    Halting problem proofs are predicated on total deciders so you
    cannot use a partial decider to refute a halting problem proof.

    /Flibble

    I have studied this for 22 years. The way that the HP proof is
    supposed to work is to hypothesize that a universal halt decider
    exists. Then all that is needed is a single counter-example that
    cannot be decided and this refutes that a universal halt decider
    exists.

    You are not working on the halting problem, you are working on the
    Olcott problem, wasting 22 years.

    /Flibble

    My prior paragraph is the basic structure of the halting problem
    proofs.


    Your problem is you don't find an error in the shown counter example,
    because your created input that you claim to solve has essential
    differences from it.

    The first one is that you keep on trying to use a non-program, that
    doesn't include all of its code, like a copy of the decider as part of
    it,

    IF you acknoledge that the code of HHH is part of DDD as well as being
    the decider, then your "simuation of DDD" becomes wrong, as you can't
    then ignore that the code of the copy of HHH that is in DDD will break
    the cycle you are seeing in just the function DDD.

    Sorry. all you are doing is showing that you think lying is ok, which
    goes counter to your claimed goal of finding a way to determine truth
    better.

    So Olcott is lying, where do you go from here?

    /Flibble

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  • From Mr Flibble@21:1/5 to olcott on Sun Aug 3 13:54:21 2025
    XPost: comp.theory, sci.logic

    On Sun, 03 Aug 2025 08:28:09 -0500, olcott wrote:

    On 8/3/2025 7:09 AM, Mr Flibble wrote:
    On Sun, 03 Aug 2025 07:05:50 -0400, Richard Damon wrote:
    Your problem is you don't find an error in the shown counter example,
    because your created input that you claim to solve has essential
    differences from it.

    The first one is that you keep on trying to use a non-program, that
    doesn't include all of its code, like a copy of the decider as part of
    it,

    IF you acknoledge that the code of HHH is part of DDD as well as being
    the decider, then your "simuation of DDD" becomes wrong, as you can't
    then ignore that the code of the copy of HHH that is in DDD will break
    the cycle you are seeing in just the function DDD.

    Yet again you try to get away with "stopping running"
    as the same thing as "halting" even though you recently acknowledged
    that they are not the same.

    DDD and HHH correctly emulated by the executed HHH cannot possibly ever
    reach their own final halt states no matter what HHH does.

    If HHH aborts after one billion recursive emulations neither the
    correctly emulated HHH nor the correctly emulated DDD would ever halt
    even though they stop running.

    Richard always uses the strawman fallacy and changes the subject away
    from DDD correctly simulated by HHH.
    This is a dishonest attempt at deception. https://en.wikipedia.org/wiki/Straw_man
    Sorry. all you are doing is showing that you think lying is ok, which
    goes counter to your claimed goal of finding a way to determine truth
    better.

    So Olcott is lying, where do you go from here?

    /Flibble

    *I am not lying. Richard is the liar*

    When I say that ⟨Ĥ⟩ ⟨Ĥ⟩ correctly simulated by Ĥ.embedded_H cannot possibly reach its own final halt state of ⟨Ĥ.qn⟩
    because it remains stuck in recursive simulation this is self-evident by
    the meaning of my words.

    Being "stuck in" recursive simulation is not equivalent to non-halting but
    is instead simply a manifestation which proves the diagnolization proofs
    are correct however your halt decider is partial so the fact it "aborts
    the simulation" is irrelevant as far as the halting problem is concerned
    as that is about total deciders not partial deciders.

    /Flibble

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  • From Mr Flibble@21:1/5 to olcott on Sun Aug 3 14:47:41 2025
    XPost: comp.theory, sci.logic

    On Sun, 03 Aug 2025 09:25:35 -0500, olcott wrote:

    On 8/3/2025 8:54 AM, Mr Flibble wrote:
    On Sun, 03 Aug 2025 08:28:09 -0500, olcott wrote:

    On 8/3/2025 7:09 AM, Mr Flibble wrote:
    On Sun, 03 Aug 2025 07:05:50 -0400, Richard Damon wrote:
    Your problem is you don't find an error in the shown counter
    example, because your created input that you claim to solve has
    essential differences from it.

    The first one is that you keep on trying to use a non-program, that
    doesn't include all of its code, like a copy of the decider as part
    of it,

    IF you acknoledge that the code of HHH is part of DDD as well as
    being the decider, then your "simuation of DDD" becomes wrong, as
    you can't then ignore that the code of the copy of HHH that is in
    DDD will break the cycle you are seeing in just the function DDD.

    Yet again you try to get away with "stopping running"
    as the same thing as "halting" even though you recently acknowledged
    that they are not the same.

    DDD and HHH correctly emulated by the executed HHH cannot possibly
    ever reach their own final halt states no matter what HHH does.

    If HHH aborts after one billion recursive emulations neither the
    correctly emulated HHH nor the correctly emulated DDD would ever halt
    even though they stop running.

    Richard always uses the strawman fallacy and changes the subject away
    from DDD correctly simulated by HHH.
    This is a dishonest attempt at deception.
    https://en.wikipedia.org/wiki/Straw_man
    Sorry. all you are doing is showing that you think lying is ok,
    which goes counter to your claimed goal of finding a way to
    determine truth better.

    So Olcott is lying, where do you go from here?

    /Flibble

    *I am not lying. Richard is the liar*

    When I say that ⟨Ĥ⟩ ⟨Ĥ⟩ correctly simulated by Ĥ.embedded_H cannot
    possibly reach its own final halt state of ⟨Ĥ.qn⟩
    because it remains stuck in recursive simulation this is self-evident
    by the meaning of my words.

    Being "stuck in" recursive simulation

    Means that the simulated final halt state cannot possibly be reached.
    This *is* non-halting behavior.

    No, it isn't non-halting behaviour, it is Olcott Partial Halt Decider
    (OPHD) behaviour which is nothing to do with the halting problem.

    /Flibble

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  • From Mr Flibble@21:1/5 to olcott on Sun Aug 3 15:45:42 2025
    XPost: comp.theory, sci.logic

    On Sun, 03 Aug 2025 10:43:25 -0500, olcott wrote:

    On 8/3/2025 9:47 AM, Mr Flibble wrote:
    On Sun, 03 Aug 2025 09:25:35 -0500, olcott wrote:

    Means that the simulated final halt state cannot possibly be reached.
    This *is* non-halting behavior.

    No, it isn't non-halting behaviour, it is Olcott Partial Halt Decider
    (OPHD) behaviour which is nothing to do with the halting problem.

    /Flibble

    When a partial halt decider correctly decides the impossible input the
    proof that claims this input was impossible is proved wrong.

    When the halting problem proof claims that it has proven that no
    universal halt decider HHH can possibly exist on the basis that no
    algorithm exists that returns a Boolean value that corresponds to the behavior of this input DD:

    int DD()
    {
    int Halt_Status = HHH(DD);
    if (Halt_Status)
    HERE: goto HERE;
    return Halt_Status;
    }

    _DD()
    [00002162] 55 push ebp [00002163] 8bec mov ebp,esp [00002165] 51 push ecx [00002166] 6862210000 push
    00002162 // push DD [0000216b] e862f4ffff call 000015d2 // call HHH [00002170] 83c404 add esp,+04 [00002173] 8945fc mov [ebp-04],eax [00002176] 837dfc00 cmp dword [ebp-04],+00 [0000217a]
    7402 jz 0000217e [0000217c] ebfe jmp 0000217c
    [0000217e] 8b45fc mov eax,[ebp-04]
    [00002181] 8be5 mov esp,ebp [00002183] 5d pop ebp [00002184] c3 ret Size in bytes:(0035) [00002184]

    This halting problem proof is proved wrong because the recursive
    structure of DD correctly emulated by HHH cannot possibly reach its
    final halt state at machine address [00002184] thus HHH(DD)==0 is
    correct.

    Yet again I have to point out to you the following:

    Halting problem proofs are predicated on total deciders so cannot be
    refuted using partial deciders.

    /Flibble

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  • From Mr Flibble@21:1/5 to olcott on Sun Aug 3 16:03:48 2025
    XPost: comp.theory, sci.logic

    On Sun, 03 Aug 2025 10:56:17 -0500, olcott wrote:

    On 8/3/2025 10:45 AM, Mr Flibble wrote:
    On Sun, 03 Aug 2025 10:43:25 -0500, olcott wrote:


    When the halting problem proof claims that it has proven that no
    universal halt decider HHH can possibly exist on the basis that no
    algorithm exists that returns a Boolean value that corresponds to the
    behavior of this input DD:

    int DD()
    {
    int Halt_Status = HHH(DD);
    if (Halt_Status)
    HERE: goto HERE;
    return Halt_Status;
    }

    _DD()
    [00002162] 55 push ebp [00002163] 8bec mov
    ebp,esp [00002165] 51 push ecx [00002166] 6862210000
    push 00002162 // push DD [0000216b] e862f4ffff call 000015d2 //
    call HHH [00002170] 83c404 add esp,+04 [00002173] 8945fc
    mov [ebp-04],eax [00002176] 837dfc00 cmp dword [ebp-04],+00
    [0000217a]
    7402 jz 0000217e [0000217c] ebfe jmp 0000217c
    [0000217e] 8b45fc mov eax,[ebp-04]
    [00002181] 8be5 mov esp,ebp [00002183] 5d pop
    ebp [00002184] c3 ret Size in bytes:(0035) [00002184]

    This halting problem proof is proved wrong because the recursive
    structure of DD correctly emulated by HHH cannot possibly reach its
    final halt state at machine address [00002184] thus HHH(DD)==0 is
    correct.

    Yet again I have to point out to you the following:

    Halting problem proofs are predicated on total deciders so cannot be
    refuted using partial deciders.

    /Flibble

    You are incorrect about that.

    No I am correct about that: you do not get to change definition of the
    halting problem unless you are working on a different problem.

    They propose that no universal halt decider exists is proven entirely on
    the basis that HHH(DD) has no correct answer.

    It may be the case that no universal halt decider exists, yet the conventional proofs do not prove that.

    Again: your work is unrelated to the halting problem and is sufficiently uninteresting to be considered a waste of 22 years of effort.

    /Flibble

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  • From Alan Mackenzie@21:1/5 to Fred. Zwarts on Mon Aug 4 14:38:51 2025
    XPost: comp.theory, sci.logic

    [ Followup-To: set ]

    In comp.theory Fred. Zwarts <[email protected]> wrote:

    [ .... ]

    Again, irrelevant examples.
    The input for HHH is more like:

    void Finite_Recursion () {
    static int N = 5;
    if (N > 0) Finite_Recursion ();
    printf ("Olcott thinks this is never printed.\n");
    }

    Careful! I think you meant "if (N-- > 0) ...." :-)

    The fact that PO missed this shows how little attention he pays to
    detail.

    [ .... ]

    --
    Alan Mackenzie (Nuremberg, Germany).

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  • From Richard Damon@21:1/5 to olcott on Mon Aug 4 19:06:41 2025
    XPost: comp.theory, sci.logic

    On 8/4/25 9:49 AM, olcott wrote:
    On 8/4/2025 6:07 AM, Richard Damon wrote:
    On 8/3/25 10:45 PM, olcott wrote:
    On 8/3/2025 9:24 PM, Richard Damon wrote:
    On 8/3/25 9:53 PM, olcott wrote:
    On 8/3/2025 8:22 PM, Richard Damon wrote:
    On 8/3/25 6:24 PM, olcott wrote:
    On 8/3/2025 12:13 PM, wij wrote:
    On Mon, 2025-08-04 at 00:45 +0800, wij wrote:
    On Sun, 2025-08-03 at 11:13 -0500, olcott wrote:
    On 8/3/2025 11:00 AM, wij wrote:
    On Sun, 2025-08-03 at 10:29 -0500, olcott wrote:

    Self-reference has been the focus of my primary research >>>>>>>>>>>> into the philosophy of:
    (a) logic
    (b) computation and
    (c) math for 22 years.

    I began with the Liar Paradox.
    That is why I own the domain LiarParadox.org.

    ?- LP = not(true(LP)).
    LP = not(true(LP)).

    ?- unify_with_occurs_check(LP, not(true(LP))).
    false.

    Just like Prolog correctly detects and rejects
    the infinitely recursive structure of the Liar
    Paradox HHH(DD) correctly detects and rejects
    the infinitely recursive structure of its input.

    I had explicitly put it in ClassGuidelines.txt to suggest >>>>>>>>>>> 'self- reference' is
    impossible to detect in (TM equvilent) programming langage. >>>>>>>>>>>

    *Yet the equivalent of self-reference is detectable*
    HHH does not know its own machine address so it cannot tell >>>>>>>>>> that DDD is actually calling itself. What it sees is that DDD >>>>>>>>>> is calling the same function with the same parameter twice >>>>>>>>>> in sequence.

    So, is HHH a function? Can a function D4 call it?

    void D4() {
       HHH(D4);
    }

    Will HHH be stuck in infinite recursion?
    How do you conclude HHH(D4)=0 is correct?


    _D4()
    [000021c3] 55             push ebp
    [000021c4] 8bec           mov ebp,esp
    [000021c6] 68c3210000     push 000021c3 // push D4
    [000021cb] e8f3f3ffff     call 000015c3 // call HHH
    [000021d0] 83c404         add esp,+04
    [000021d3] 5d             pop ebp
    [000021d4] c3             ret
    Size in bytes:(0018) [000021d4]

    D4 correctly emulated by HHH cannot possibly get
    past its own machine address [000021cb] thus the
    input to HHH(D4) does specify non-halting behavior
    no matter what the D4() that is not an input does.



    Nope. As if HHH ever returns an answer because it doesn't do the
    correct simulation and aborts, D4 will be halting.


    Like always you remain a despicable lying scumbag and change
    the words that I said as the basis of your rebuttal.

    Only changing them to the definitions of the problem from your lies
    about it.


    I really sincerely hope that this does not get you condemned
    to Hell. You certainly don't deserve that.


    No, the problem that you don't understand is that the words you use
    have a defined meaning, and in particular,
    Yes the words that I said do have a defined meaning
    in the x86 language and you deny this only because
    you are a despicable scumbag liar.



    No, they don't, as you code doesn't have meaning as it isn't complete,
    and doesn't definie (in x86 langugage) what HHH is.


    "D4 correctly emulated by HHH" is a sufficiently
    complete definition of HHH even if you never heard
    of the word "emulated". You remain a liar. I hope
    that this does not cost your soul.




    IN other wwrds you are stipulating that your HHH is DEFINED to do a
    correct simulation, and thus NEVER abort, and thus isn't a decider?

    I guess you think it can be two different things (and thus that you are stupid), or you are just admitting you are liar.

    Sorry, the words don't define HHH, and surely don't describe the HHH
    that you have been claiming to talk about.

    All you are doing it proving that words don't actualy have meaning to
    you, and you can just lie about what you are talking about.

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  • From Richard Damon@21:1/5 to olcott on Mon Aug 4 19:12:40 2025
    XPost: comp.theory, sci.logic

    On 8/4/25 10:54 AM, olcott wrote:
    On 8/4/2025 9:38 AM, Alan Mackenzie wrote:
    [ Followup-To: set ]

    In comp.theory Fred. Zwarts <[email protected]> wrote:

    [ .... ]

    Again, irrelevant examples.
    The input for HHH is more like:

    void Finite_Recursion () {
       static int N = 5;
       if (N > 0) Finite_Recursion ();
       printf ("Olcott thinks this is never printed.\n");
    }

    Careful!  I think you meant "if (N-- > 0) ...."  :-)

    The fact that PO missed this shows how little attention he pays to
    detail.

    [ .... ]



    The above function has nothing to do with what I am
    claiming it is merely dodging the actual point.

    I call out any attempt at twisting the words that I
    actually said for the purpose of the strawman deception.

    _DDD()
    [00002192] 55         push ebp
    [00002193] 8bec       mov ebp,esp
    [00002195] 6892210000 push 00002192  // push DDD
    [0000219a] e833f4ffff call 000015d2  // call HHH
    [0000219f] 83c404     add esp,+04
    [000021a2] 5d         pop ebp
    [000021a3] c3         ret
    Size in bytes:(0018) [000021a3]

    Each element of the infinite set of HHH/DDD pairs
    that emulates a natural number N number of instructions
    of DDD never reaches past machine address [0000219a].

    This is the same template as the Linz proof where
    Ĥ.embedded_H is every Linz H that can possibly exist.

    But Linz doesn't give the TEMPLATE to the decider, but the program built
    by it, and THAT includes the HHH that it was built on, and thus every
    instance is different, so your claim about the infinite set is
    worthless, as EVERY HHH that only simulates N steps and returns 0, was
    given a DDD that when CORRECTLY simulated will hait im some number M
    N) steps, and thus HHH was just wrong.

    Thus, you are just showing that you are INFINITELY wrong, as you were
    wrong an infinite number of times there.


    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.∞
    Ĥ.q0 ⟨Ĥ⟩ ⊢* Ĥ.embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩ ⊢* Ĥ.qn
    (a) Ĥ copies its input ⟨Ĥ⟩
    (b) Ĥ invokes embedded_H ⟨Ĥ⟩ ⟨Ĥ⟩
    (c) embedded_H simulates ⟨Ĥ⟩ ⟨Ĥ⟩ https://www.liarparadox.org/Peter_Linz_HP_317-320.pdf

    No ⟨Ĥ⟩ ⟨Ĥ⟩ correctly simulated by Ĥ.embedded_H can
    possibly reach its own simulated final state of ⟨Ĥ.qn⟩.



    But there is NO ⟨Ĥ⟩ ⟨Ĥ⟩ correctly simulated by the decider Ĥ.embedded_H,
    so that statement is just meaningless.


    And UTM ⟨Ĥ⟩ ⟨Ĥ⟩ will halt for every input that H reports as non-halting,
    and thus every one of your H are wrong, as THAT (not the partial
    simulation done by H) is a proper way to determine the behavior of the
    input.

    Something you might learn if you bothered to actually look at the
    definitions of the field, instead of just guessing out of your ignorance.

    Sorry, you are just proving that you are a pathological liar that
    doesn't care what the words actually mean.

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