• Was Poincare crushed by the New

    From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Sat Jan 4 09:59:10 2025
    From Newsgroup: comp.lang.prolog


    Poincare had quite some problems with the
    formal revolution that took place as well
    in the last 100 or more years, starting with

    things like naive set theory and its antinomies,
    ending with computer formalized proofs of the Keppler
    packing nowadays. He wrote a lengthy book:

    Science and method
    by Poincaré, Henri, 1854-1912 https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.
    Mostlikely Poincaré nowadays would be a form of

    Sabine Hossenfelder with 100 YouTube videos and
    possibly many followers. Poincaré faced the
    destiny of any old fart that became irrelevant

    over the time and turned into a commentator.

    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Sat Jan 4 10:00:41 2025
    From Newsgroup: comp.lang.prolog


    Poincare has surely still a fellowship,
    maybe a form of counter culture, similar like
    Spencer Brown. Who halucinates a supervenient

    logic over the logics from the formal revolution,
    mostly appealing to diagrammtic reasoning.

    "The mathematician Darboux claimed he was un
    intuitif (an intuitive), arguing that this is
    demonstrated by the fact that he worked so
    often by visual representation. Jacques Hadamard
    wrote that Poincaré's research demonstrated
    marvelous clarity[76] and Poincaré himself wrote
    that he believed that logic was not a way to
    invent but a way to structure ideas and that
    logic limits ideas." https://en.wikipedia.org/wiki/Henri_Poincar%C3%A9#Character

    This is a very common psychological defense
    mechanism, sometimes having even a religious

    motivation, in that it is believed that the
    face of God or Angels speak to humans through
    mathematics. But once again with generative

    AI and halucinating ChatGPT this humanist
    monopole is challenged somehow even more.

    Mild Shock schrieb:

    Poincare had quite some problems with the
    formal revolution that took place as well
    in the last 100 or more years, starting with

    things like naive set theory and its antinomies,
    ending with computer formalized proofs of the Keppler
    packing nowadays. He wrote a lengthy book:

    Science and method
    by Poincaré, Henri, 1854-1912 https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.
    Mostlikely Poincaré nowadays would be a form of

    Sabine Hossenfelder with 100 YouTube videos and
    possibly many followers. Poincaré faced the
    destiny of any old fart that became irrelevant

    over the time and turned into a commentator.


    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Sat Jan 4 10:03:28 2025
    From Newsgroup: comp.lang.prolog


    Poincare is said to have never spent a long time on a
    problem since he believed that the subconscious would
    continue working on the problem while he consciously

    worked on another problem. So he had a self model
    that included some automatic processing. Mostlikely
    Einstein used similar techniques, Einstein is said

    to have slept about 10 hours a night, which is more
    than the average adult needs, and often took naps
    during the day. So both men managed and tapped into

    their more holistic thinking. A nice example of
    what is nowadays called "dual processing":

    Dual-process accounts of reasoning postulate that there
    are two systems or minds in one brain. https://en.wikipedia.org/wiki/Dual_process_theory#Background

    But dual processing is now challenged a little bit.
    Just imagine a ChatGPT doing things when the end-user
    is idle? Just like a chess program that continues

    "thinking", when it is the opponents turn:

    Yuval Noah Harari: ChatGPT is the “amoeba of AI evolution” https://www.youtube.com/watch?v=lfid5DUoSBI

    What will be the resulting physics?

    Mild Shock schrieb:

    Poincare has surely still a fellowship,
    maybe a form of counter culture, similar like
    Spencer Brown. Who halucinates a supervenient

    logic over the logics from the formal revolution,
    mostly appealing to diagrammtic reasoning.

    "The mathematician Darboux claimed he was un
    intuitif (an intuitive), arguing that this is
    demonstrated by the fact that he worked so
    often by visual representation. Jacques Hadamard
    wrote that Poincaré's research demonstrated
    marvelous clarity[76] and Poincaré himself wrote
    that he believed that logic was not a way to
    invent but a way to structure ideas and that
    logic limits ideas." https://en.wikipedia.org/wiki/Henri_Poincar%C3%A9#Character

    This is a very common psychological defense
    mechanism, sometimes having even a religious

    motivation, in that it is believed that the
    face of God or Angels speak to humans through
    mathematics. But once again with generative

    AI and halucinating ChatGPT this humanist
    monopole is challenged somehow even more.

    Mild Shock schrieb:

    Poincare had quite some problems with the
    formal revolution that took place as well
    in the last 100 or more years, starting with

    things like naive set theory and its antinomies,
    ending with computer formalized proofs of the Keppler
    packing nowadays. He wrote a lengthy book:

    Science and method
    by Poincaré, Henri, 1854-1912
    https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.
    Mostlikely Poincaré nowadays would be a form of

    Sabine Hossenfelder with 100 YouTube videos and
    possibly many followers. Poincaré faced the
    destiny of any old fart that became irrelevant

    over the time and turned into a commentator.



    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Mon Jan 6 09:43:38 2025
    From Newsgroup: comp.lang.prolog

    Hi,

    Poincare gives an interesting insight, mostly forgotten,
    that the last 100 years brought us a new logic:

    Science and method
    by Poincaré, Henri, 1854-1912 https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.

    So what are NEW and OLD logic:

    - NEW Logic: The Logic for the Past Atom Age
    The new logic is basically a logic that allows to
    formalize the real numbers, for example via set theory.
    It was judged so important that the whole education
    underwent a transformation:

    One of the motives was the Sputnik shock, as a result
    of which there was a great need to catch up
    educationally in the West.
    https://de.wikipedia.org/wiki/Neue_Mathematik

    - OLD Logic: The Logic for the Coming Artificial Age
    The old logic is basically Aristotelian Begriffslogik.
    Bis zum 19. Jahrhundert war es die dominante Tradition.
    Die Logiker für eine solche Logik waren mehr Grammatiker
    und Wissensimgenieure, und weniger Mathematiker die der
    Physik zugedient haben.

    https://de.wikipedia.org/wiki/Begriffslogik

    LLMs give a new spin on OLD Logic, which has sent
    shockwaves into hardcore NEW Logic proponents
    as a means for Begriffslogik. Especially the use of
    of less formal means based on natural language itself,

    which was somehow seen as a problem, could be a solution:

    Modern ontologies:
    • Philosophers have debated the foundations for centuries.
    • They emphasize technical terms defined in logic.
    • But people talk. write. and think in natural languages (NLs).
    • Any distinctions not represented in NLs tend to be ignored.

    The Great Debate between John Sowa and Barry Smith https://www.youtube.com/watch?v=fhYaTW5MK_U

    Bye


    Mild Shock schrieb:

    Poincare had quite some problems with the
    formal revolution that took place as well
    in the last 100 or more years, starting with

    things like naive set theory and its antinomies,
    ending with computer formalized proofs of the Keppler
    packing nowadays. He wrote a lengthy book:

    Science and method
    by Poincaré, Henri, 1854-1912 https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.
    Mostlikely Poincaré nowadays would be a form of

    Sabine Hossenfelder with 100 YouTube videos and
    possibly many followers. Poincaré faced the
    destiny of any old fart that became irrelevant

    over the time and turned into a commentator.


    --- Synchronet 3.20a-Linux NewsLink 1.114
  • From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Mon Jan 6 09:59:44 2025
    From Newsgroup: comp.lang.prolog

    Hi,

    The stance of LLMs towards ontology is a little
    special. Asking OpenAI it tells me that LLMs can
    behave as follows:

    - Interpret Ontologies: Given descriptions or
    structured data from ontologies, they can
    understand and process relationships,
    classes, and properties.

    - Generate Ontology Components: They can help draft
    classes, properties, or rules for ontologies when
    provided with a domain description or examples.

    - Explain Ontologies: They can interpret and explain
    the structure and intent of an ontology for end-users.

    I know at least of one project that tries to tap into
    that, especially inputing a natural language text and
    asking description components. The expected problems
    are hallucination, informality and rigidity.

    But since our whole education system is mainly based
    on NEW Logic and not OLD Logic, which is somehow
    tacitly assumed. And since LLMs have quite some grass
    root dynamics, with YouTube videos platforms having

    replaced the academic discussion forums and are now
    influencing the terminology in the domain. The whole
    matter feels like a bad joke, like waking up in a
    Keeping Up with the Kardashians comedy.

    Just like here:

    A New Lexicon and Its Implications https://www.computer.org/csdl/magazine/it/2024/05/10754993/21THeGJDXUI

    Bye

    A New Lexicon and Its Implications https://www.computer.org/csdl/magazine/it/2024/05/10754993/21THeGJDXUI
    FIGURE 5. Partial list of emergent generative AI terminology.

    Mild Shock schrieb:
    Hi,

    Poincare gives an interesting insight, mostly forgotten,
    that the last 100 years brought us a new logic:

    Science and method
    by Poincaré, Henri, 1854-1912 https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.

    So what are NEW and OLD logic:

    - NEW Logic: The Logic for the Past Atom Age
      The new logic is basically a logic that allows to
      formalize the real numbers, for example via set theory.
      It was judged so important that the whole education
      underwent a transformation:

    One of the motives was the Sputnik shock, as a result
    of which there was a great need to catch up
    educationally in the West.
    https://de.wikipedia.org/wiki/Neue_Mathematik

    - OLD Logic: The Logic for the Coming Artificial Age
      The old logic is basically Aristotelian Begriffslogik.
      Bis zum 19. Jahrhundert war es die dominante Tradition.
      Die Logiker für eine solche Logik waren mehr Grammatiker
      und Wissensimgenieure, und weniger Mathematiker die der
      Physik zugedient haben.

    https://de.wikipedia.org/wiki/Begriffslogik

    LLMs give a new spin on OLD Logic, which has sent
    shockwaves into hardcore NEW Logic proponents
    as a means for Begriffslogik. Especially the use of
    of less formal means based on natural language itself,

    which was somehow seen as a problem, could be a solution:

    Modern ontologies:
    •    Philosophers have debated the foundations for centuries.
    •    They emphasize technical terms defined in logic.
    •    But people talk. write. and think in natural languages (NLs). •    Any distinctions not represented in NLs tend to be ignored.

    The Great Debate between John Sowa and Barry Smith https://www.youtube.com/watch?v=fhYaTW5MK_U

    Bye


    Mild Shock schrieb:

    Poincare had quite some problems with the
    formal revolution that took place as well
    in the last 100 or more years, starting with

    things like naive set theory and its antinomies,
    ending with computer formalized proofs of the Keppler
    packing nowadays. He wrote a lengthy book:

    Science and method
    by Poincaré, Henri, 1854-1912
    https://archive.org/details/sciencemethod00poinuoft/page/n3/mode/2up

    His struggle starts at page 160, The New Logics.
    Similar Einstein was New Mechanics for him.
    Mostlikely Poincaré nowadays would be a form of

    Sabine Hossenfelder with 100 YouTube videos and
    possibly many followers. Poincaré faced the
    destiny of any old fart that became irrelevant

    over the time and turned into a commentator.



    --- Synchronet 3.20a-Linux NewsLink 1.114