• on the nature of undecidability within computing and refuting the church-turing thesis

    From olcott@polcott333@gmail.com to comp.theory on Sat Sep 12 16:40:31 2026
    From Newsgroup: comp.theory

    Nick:

    Now that you have had a long time to discuss this
    what is the simplest essence of your whole claim?

    https://zenodo.org/records/22715824
    --
    Copyright 2026 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable for the entire body of general knowledge.
    The complete structure of this system is now defined.

    The entire body of knowledge expressed in language is
    comprised of two types of relations between finite strings:
    (a) *Axioms* Expressions of language that are stipulated to be true.

    My system bridges the analytic/synthetic distinction by
    expressly encoding all empirical "atomic facts" in a formal
    language such as CycL of the Cyc project.

    (b) *Inference Rules* Expressions of language that are semantically
    entailed syntactically from (a) and/or (b).

    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From dart200@user7160@newsgrouper.org.invalid to comp.theory on Sat Sep 12 14:56:24 2026
    From Newsgroup: comp.theory

    On 9/12/26 2:40 PM, olcott wrote:
    Nick:

    Now that you have had a long time to discuss this

    much of that paper is fairly novel, especially including the refutation
    to the church-turing thesis. i have not discussed that in particular
    with anyone thus far, and only realized in the last month

    what is the simplest essence of your whole claim?

    https://zenodo.org/records/22715824


    there are a variety of understandings and claims conveyed in that paper
    and they build on each other in manner i cannot just reduce to a single sentence

    which part would you like to discuss?
    --
    arising us out of the computing dark ages,
    please excuse my pseudo-pyscript,
    ~ the lil crank that could
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory on Sat Sep 12 17:01:58 2026
    From Newsgroup: comp.theory

    On 9/12/2026 4:56 PM, dart200 wrote:
    On 9/12/26 2:40 PM, olcott wrote:
    Nick:

    Now that you have had a long time to discuss this

    much of that paper is fairly novel, especially including the refutation
    to the church-turing thesis. i have not discussed that in particular
    with anyone thus far, and only realized in the last month

    what is the simplest essence of your whole claim?

    https://zenodo.org/records/22715824


    there are a variety of understandings and claims conveyed in that paper
    and they build on each other in manner i cannot just reduce to a single sentence

    which part would you like to discuss?

    I had NotebookLM sum it up for me. It seems to be
    the best at analyzing papers because it forces
    grounding in the paper overruling its own training.

    This paper by Nicholas K. Swenson argues that undecidability in
    computing is not a series of distinct problems, but a single
    self-referential set-classification paradox rooted in the Turing machine
    model itself. The author critiques contemporary claims by Hamkins and
    Nenu, asserting that TuringrCOs original circle-free problem is
    fundamentally identical to the halting problem because both involve
    machines that contradict their own classifications. By introducing a
    terminal machine that incorporates an idealized human agent, Swenson
    suggests that deterministic logic can resolve these paradoxes through
    semantic analysis and reduction. This interaction demonstrates that
    certain sequences, like the total anti-diagonal, can be computed by an
    agent even if they remain addressable impossibilities for standard
    machines. Ultimately, the source seeks to refute the Church-Turing
    thesis by proposing that human-led mechanical processes possess a computational power that transcends the inherent limitations of the
    Turing model.
    --
    Copyright 2026 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable for the entire body of general knowledge.
    The complete structure of this system is now defined.

    The entire body of knowledge expressed in language is
    comprised of two types of relations between finite strings:
    (a) *Axioms* Expressions of language that are stipulated to be true.

    My system bridges the analytic/synthetic distinction by
    expressly encoding all empirical "atomic facts" in a formal
    language such as CycL of the Cyc project.

    (b) *Inference Rules* Expressions of language that are semantically
    entailed syntactically from (a) and/or (b).
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From dart200@user7160@newsgrouper.org.invalid to comp.theory on Sat Sep 12 15:18:46 2026
    From Newsgroup: comp.theory

    On 9/12/26 3:01 PM, olcott wrote:
    On 9/12/2026 4:56 PM, dart200 wrote:
    On 9/12/26 2:40 PM, olcott wrote:
    Nick:

    Now that you have had a long time to discuss this

    much of that paper is fairly novel, especially including the
    refutation to the church-turing thesis. i have not discussed that in
    particular with anyone thus far, and only realized in the last month

    what is the simplest essence of your whole claim?

    https://zenodo.org/records/22715824


    there are a variety of understandings and claims conveyed in that
    paper and they build on each other in manner i cannot just reduce to a
    single sentence

    which part would you like to discuss?

    I had NotebookLM sum it up for me. It seems to be
    the best at analyzing papers because it forces
    grounding in the paper overruling its own training.

    This paper by Nicholas K. Swenson argues that undecidability in
    computing is not a series of distinct problems, but a single self- referential set-classification paradox rooted in the Turing machine
    model itself. The author critiques contemporary claims by Hamkins and
    Nenu, asserting that TuringrCOs original circle-free problem is fundamentally identical to the halting problem because both involve
    machines that contradict their own classifications. By introducing a terminal machine that incorporates an idealized human agent, Swenson suggests that deterministic logic can resolve these paradoxes through semantic analysis and reduction. This interaction demonstrates that
    certain sequences, like the total anti-diagonal, can be computed by an
    agent even if they remain addressable impossibilities for standard
    machines. Ultimately, the source seeks to refute the Church-Turing
    thesis by proposing that human-led mechanical processes possess a computational power that transcends the inherent limitations of the
    Turing model.


    that's a decent summary

    it misses the certain fallacy in turing's paper pointed out in -o5.3, a
    thesis presented in -o6.1 a limit to the undecidability found within
    turing machines model, and a few other things
    --
    arising us out of the computing dark ages,
    please excuse my pseudo-pyscript,
    ~ the lil crank that could
    --- Synchronet 3.22a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory on Sun Sep 13 09:12:03 2026
    From Newsgroup: comp.theory

    On 9/12/2026 5:18 PM, dart200 wrote:
    On 9/12/26 3:01 PM, olcott wrote:
    On 9/12/2026 4:56 PM, dart200 wrote:
    On 9/12/26 2:40 PM, olcott wrote:
    Nick:

    Now that you have had a long time to discuss this

    much of that paper is fairly novel, especially including the
    refutation to the church-turing thesis. i have not discussed that in
    particular with anyone thus far, and only realized in the last month

    what is the simplest essence of your whole claim?

    https://zenodo.org/records/22715824


    there are a variety of understandings and claims conveyed in that
    paper and they build on each other in manner i cannot just reduce to
    a single sentence

    which part would you like to discuss?

    I had NotebookLM sum it up for me. It seems to be
    the best at analyzing papers because it forces
    grounding in the paper overruling its own training.

    This paper by Nicholas K. Swenson argues that undecidability in
    computing is not a series of distinct problems, but a single self-
    referential set-classification paradox rooted in the Turing machine
    model itself. The author critiques contemporary claims by Hamkins and
    Nenu, asserting that TuringrCOs original circle-free problem is
    fundamentally identical to the halting problem because both involve
    machines that contradict their own classifications. By introducing a
    terminal machine that incorporates an idealized human agent, Swenson
    suggests that deterministic logic can resolve these paradoxes through
    semantic analysis and reduction. This interaction demonstrates that
    certain sequences, like the total anti-diagonal, can be computed by an
    agent even if they remain addressable impossibilities for standard
    machines. Ultimately, the source seeks to refute the Church-Turing
    thesis by proposing that human-led mechanical processes possess a
    computational power that transcends the inherent limitations of the
    Turing model.


    that's a decent summary

    it misses the certain fallacy in turing's paper pointed out in -o5.3, a thesis presented in -o6.1 a limit to the undecidability found within
    turing machines model, and a few other things


    I will look into that.
    --
    Copyright 2026 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable for the entire body of general knowledge.
    The complete structure of this system is now defined.

    The entire body of knowledge expressed in language is
    comprised of two types of relations between finite strings:
    (a) *Axioms* Expressions of language that are stipulated to be true.

    My system bridges the analytic/synthetic distinction by
    expressly encoding all empirical "atomic facts" in a formal
    language such as CycL of the Cyc project.

    (b) *Inference Rules* Expressions of language that are semantically
    entailed syntactically from (a) and/or (b).
    --- Synchronet 3.22a-Linux NewsLink 1.2