• Re: ZFC solution to incorrect questions: reject them --discoursecontext --

    From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic,comp.theory,comp.ai.philosophy on Sun Mar 17 12:50:53 2024
    From Newsgroup: comp.ai.philosophy










    ...


    You know, the field, of, formal methods, and particularly
    here, "the terminal in the interminable", all the issues
    involved and resolved in the supposition and dispatch and
    resolution and what can't be logical paradox, it's of interest.



    You guys' love spats though, it's more like, "get a room".


    That the classical is sort of singular, and, there's
    a sort of super-classical the multiplicity, has that
    here, for models of computation and models of knowledge,
    and certification of the results as it were, "proof", in
    theory, has pretty much that if there's thrashing and flailing
    it's not being done correctly, pretty much has that
    you have to get above this stuff, if there's not something
    _new_ in the post, it's _noise_, if there's not a proper
    novel, derivative statement, it's not _signal_, _information_.



    About information and free information in physics, and
    models of computation, which work on information, that
    their input and output is work and information, has that
    actors and agents can use information and perspective,
    to effect their own inputs, and besides the Aristotle's
    entropy and Leibniz' entropy, and the source and/or sink
    of destiny and these kinds of things, makes for the old
    "Scylla and Charybdis" bit: "keep it in the middle".


    Now it's established that ZFC includes a restriction of
    comprehension, and that somebody like Mirimanoff introduced
    what became the Axiom of Regularity, and it's an opinion
    and a stipulation and there are other, there are the others,
    that if you really want to know then it involves learning
    about Mirimanoff's, or, your own, "extra-ordinary", "l'extraordinaire",
    because otherwise trying to stretch the limits of theory
    within the limits of the ordinary theory, results that
    "the theories the theories the theories: meta-fragment theory",
    either is or isn't a theory, and it's true.


    It's true that some people don't know that ordinals and sets
    are fundamentally different and though that they have ready
    models of the initial that build infinite limits and completions
    in terms of each other, that the theory of "the universe of
    the logical objects", has that it's matters of perspective,
    and perspicuity, for universals and particulars and these
    kinds of things, and type theory and "inverting the diamond",
    the universe of relations of type, it starts being easier
    to have critical analysis always included instead of
    picking a fixed course when neither will do.

    Maybe it would help to introduce an "Aristotle's demon",
    what he does is arbitrarily re-orders and disarrays and
    sequence of syllogisms, so that of course only the relevant
    result coherent, and what was in any way plainly dependent
    on contradiction or not compounded the induction by all
    matters of deduction, is not constructivists and results
    not intuitionist.

    Now, one might aver, "there's no Aristotle's demon and
    there's no Maxwell's demon", yet, yet it's rather provable,
    or not, one way or the other, and, anybody who makes and
    stays the course between the rock and the hard place,
    is highly dependent that they do and don't exist.

    I.e., the idea is, "there's no Aristotle's demon and
    there's no Maxwell's demon", but, anybody who thinks
    about it sort of rather is their own Aristotle's angel
    and Maxwell's angel.

    Now, I've just kind of invented this idea of "Aristotle's
    demon", but the idea is that the apparatus and mechanics
    of robust theorem-proving depend on it not mattering
    whether it exists, or not.


    In these sorts cases, the "quasi-modal", is yet a mode,
    just as classical theory is just a singularity,
    so, it's called critical reasoning, and, often enough
    it's the development of the dialectic to maintain
    the development of a dialectic, that otherwise results
    these sorts, ..., kook fights, that result poisoning the
    well, tragedizing the commons, when here we have a
    free theory where "Aristotle's demon can't destroy
    comprehensive critical categorical closure".

    https://en.wikipedia.org/wiki/Maxwell%27s_demon

    Which the quasi-modal is not.

    So, Aristotle's demon, or Aristotle's gremlin,
    here is a concept that takes, for example, any
    sorts plain fallacious rhetoric, on its own,
    and results for example "must both be wrong".

    Thus it is upon you to always be making work
    for Aristotle's gremlin, for Maxwell's will do none.


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  • From Ross Finlayson@ross.a.finlayson@gmail.com to sci.logic,comp.theory,comp.ai.philosophy on Sun Mar 17 19:19:52 2024
    From Newsgroup: comp.ai.philosophy

    On 03/17/2024 12:50 PM, Ross Finlayson wrote:









    ...


    You know, the field, of, formal methods, and particularly
    here, "the terminal in the interminable", all the issues
    involved and resolved in the supposition and dispatch and
    resolution and what can't be logical paradox, it's of interest.



    You guys' love spats though, it's more like, "get a room".


    That the classical is sort of singular, and, there's
    a sort of super-classical the multiplicity, has that
    here, for models of computation and models of knowledge,
    and certification of the results as it were, "proof", in
    theory, has pretty much that if there's thrashing and flailing
    it's not being done correctly, pretty much has that
    you have to get above this stuff, if there's not something
    _new_ in the post, it's _noise_, if there's not a proper
    novel, derivative statement, it's not _signal_, _information_.



    About information and free information in physics, and
    models of computation, which work on information, that
    their input and output is work and information, has that
    actors and agents can use information and perspective,
    to effect their own inputs, and besides the Aristotle's
    entropy and Leibniz' entropy, and the source and/or sink
    of destiny and these kinds of things, makes for the old
    "Scylla and Charybdis" bit: "keep it in the middle".


    Now it's established that ZFC includes a restriction of
    comprehension, and that somebody like Mirimanoff introduced
    what became the Axiom of Regularity, and it's an opinion
    and a stipulation and there are other, there are the others,
    that if you really want to know then it involves learning
    about Mirimanoff's, or, your own, "extra-ordinary", "l'extraordinaire", because otherwise trying to stretch the limits of theory
    within the limits of the ordinary theory, results that
    "the theories the theories the theories: meta-fragment theory",
    either is or isn't a theory, and it's true.


    It's true that some people don't know that ordinals and sets
    are fundamentally different and though that they have ready
    models of the initial that build infinite limits and completions
    in terms of each other, that the theory of "the universe of
    the logical objects", has that it's matters of perspective,
    and perspicuity, for universals and particulars and these
    kinds of things, and type theory and "inverting the diamond",
    the universe of relations of type, it starts being easier
    to have critical analysis always included instead of
    picking a fixed course when neither will do.

    Maybe it would help to introduce an "Aristotle's demon",
    what he does is arbitrarily re-orders and disarrays and
    sequence of syllogisms, so that of course only the relevant
    result coherent, and what was in any way plainly dependent
    on contradiction or not compounded the induction by all
    matters of deduction, is not constructivists and results
    not intuitionist.

    Now, one might aver, "there's no Aristotle's demon and
    there's no Maxwell's demon", yet, yet it's rather provable,
    or not, one way or the other, and, anybody who makes and
    stays the course between the rock and the hard place,
    is highly dependent that they do and don't exist.

    I.e., the idea is, "there's no Aristotle's demon and
    there's no Maxwell's demon", but, anybody who thinks
    about it sort of rather is their own Aristotle's angel
    and Maxwell's angel.

    Now, I've just kind of invented this idea of "Aristotle's
    demon", but the idea is that the apparatus and mechanics
    of robust theorem-proving depend on it not mattering
    whether it exists, or not.


    In these sorts cases, the "quasi-modal", is yet a mode,
    just as classical theory is just a singularity,
    so, it's called critical reasoning, and, often enough
    it's the development of the dialectic to maintain
    the development of a dialectic, that otherwise results
    these sorts, ..., kook fights, that result poisoning the
    well, tragedizing the commons, when here we have a
    free theory where "Aristotle's demon can't destroy
    comprehensive critical categorical closure".

    https://en.wikipedia.org/wiki/Maxwell%27s_demon

    Which the quasi-modal is not.

    So, Aristotle's demon, or Aristotle's gremlin,
    here is a concept that takes, for example, any
    sorts plain fallacious rhetoric, on its own,
    and results for example "must both be wrong".

    Thus it is upon you to always be making work
    for Aristotle's gremlin, for Maxwell's will do none.




    McKeon on Aristotle.

    "Scholars have differed concerning the authenticity,
    order, and relation of Aristotle's works: some have found
    a unity in them so precise and well articulated that every
    science and art, and every body of conclusions, and
    even the meanings, applications, and functions of every
    word can be accounted for and justified; others have
    found masses of contradictions and collections of cliches,
    half-truths, and palpable errors; still others have found stages
    of development which require the reordering of the works
    and their parts into those which are Platonic, those which
    mark a skeptical doubt and tentative transition, and those
    which develop a characteristic mature empirical method
    and philosophy. There have been many interpretations of
    Aristotle, and grounds have been found in his writings
    and in his times for each of them. It is unlikely that a
    single authoritarian interpretation will be discovered
    which will secure consensus and establish a coherent doctrine.
    The only way to resolve problems in the interpretation of
    Aristotle is by reading and rereading his works. Many
    contradictions encountered in a first reading are removed
    by rereading a text in the context of what he says elsewhere.
    The virtue of removal of contradictions is not that it vindicates
    an image of the master as a shrewd observer, a keen analyst,
    and a systematic thinker who remembers what he has said
    before in different connections and in relation to different problems,
    but that it brings the reader into contact with meanings, applications, implications, and doctrines rather than with dubious, incoherent,
    and meaningless statements. It is that rightness and suggestivity
    which accounts for the long, diversified influence of Aristotle's
    works and for the no less persistent, strenuous, and fruitful
    oppositions which they have aroused. A new reader coming
    to those works for the first time need not be abashed by the
    complexity of the works or the intricacy of the tradition: he
    need not seek to learn the philosophy of Aristotle, but he
    cannot avoid contact with philosophic problems which become
    significant and develop philosophic implications as he comes
    to perceive the consequences and perspectives which open up
    in the considerations and resolutions of problems. Such an
    introduction to Aristotle is an introduction to philosophy and
    to science, art, action, and life."

    (Yes, that's one paragraph, slightly longer than one page.)

    So, Aristotle's demon, here, is a great idea. It helps very
    well go hand in hand with Maxwell's demon. As well,
    the word would be familiar, because "demon" arrives
    from "eudaimonia".

    https://en.wikipedia.org/wiki/Eudaimonia


    The idea that "Aristotle's demon" thoroughly disorganizes
    and makes into disarray, that information gets worked free,
    while "Maxwell's demon" naturally does nothing, then
    that actions of thought and reason make Aristotle's demon
    stop working and Maxwell's demon start working,
    that's a good one, I'm glad I thought of that.

    I hope you would also, understand that it helps reflect
    very much what's going on in the ideas of information
    and word, and Aristotle's entropy and Leibniz' entropy,
    that there are hand-in-hand Aristotle's and Maxwell's
    demon in the Dirac positronic and Einstein white-hole sea.


    It's like, "where's Schroedinger's cat in this", and
    Aristotle's demon is like "it'll come out in the wash".

    Which it puts _everything_ through.

    Hopefully, you know, ready to go.


    Richard McKeon, ...
    https://en.wikipedia.org/wiki/Richard_McKeon
    "His ideas formed the basis for the UN's
    Universal Declaration of Human Rights".

    "McKeon holds that the renaissance revolt against scholasticism involved Aristotle in an "associated discredit", and few outstanding modern
    philosophers took the pains to examine the grounds of the criticism or
    to re-examine the philosophy of Aristotle. He credits Leibniz and Hegel
    as exceptions."


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