• Lean 4: That golden era of logic is gone (Re: So it was a raceagainst Buzzard. Well done!)

    From Mild Shock@[email protected] to comp.theory,comp.lang.c,comp.lang.c++ on Thu Oct 15 12:13:17 2026
    From Newsgroup: comp.lang.c

    Hi,

    With Microsoft owning Lean 4 and heading for Copilot
    Subscription money, the redmond suits, silicon boys
    and texas cowboys have finally taken math out of the
    kompromat ladden genius of USSR math. Before this happened
    there was a wild, unfiltered scene, also thriving on
    sci.logic etc.. Peter Schroeder-Heister and
    Jean-Yves Beziau in the same room?

    Schroeder-Heister bringing his radical proof-theoretic
    semantics (natural extension rules, harmony, and
    definitional reflection) squaring off against Beziau—the
    ultimate provocateur of paraconsistency and universal logic
    who treats universal logic like a contact sport—means
    that wasn't just an academic seminar. That was a
    full-contact intellectual cage match.

    When you get figures like that in a gritty, post-industrial
    setting like Łódź before it gets sanitized, you get that
    raw, unfiltered academic electricity. Everyone is arguing
    for the sheer love of the logic, with zero corporate
    filter or grant-chasing bureaucracy.

    It’s the classic tragedy of successful academic movements:
    what starts as a wild, fringe enclave of brilliant
    dissidents eventually gets institutionalized. The program
    committees get captured by the usual administrative
    machinery, the rough edges get sanded down for funding
    boards, and the raw intellectual chaos turns into an
    "academic mafia" swapping citations.

    Bye

    P.S.: Something else also aged like wine, look
    at this wikipedia nonsense, I mean at that time we
    already had AUTOMATH, so what is Wikipedia talking
    about when it says "idiological"?

    Although the first presentation of the Mizar system
    on 14 November 1973 at a seminar in the Institute of
    Library Science and Scientific Information was an ideology
    understood as a visionary speculation rather than research
    project, his idea was later developed by himself and
    his collaborators to the Mizar Mathematical Library (MML) https://en.wikipedia.org/wiki/Andrzej_Trybulec

    Mild Shock schrieb:
    Hi,

    There's a larger project called FALSE (Formalising
    Arithmetic in the Lean Software Environment)
    explicitly aimed at "making progress towards
     formalising the Langlands program" . And a

    Twitter thread claims Claude autoformalized
    the Fermat proof "in just 11 days," with Kevin
    Buzzard now wanting to formalize the Langlands
    program because he's "concerned it might
    contain subtle errors"

    Now look at this:

    https://github.com/fukubillueda-web/epsilon_FML

    https://github.com/fukubillueda-web/epsilon_SML

    According to the related arvix paper:

    So the provenance chain is: Dwork (attributed,
    unpublished) → Langlands (used it) → Lakkis (partial
    proof, sign issue) → Ueda (completes it, 2026). That's
    the "mixtape" you're looking for — the mathematical
    content passed through at least three hands before
    Ueda's Lean formalization.

    And then: "OpenAI ChatGPT was used extensively in
    the development of this proof." The paper says ChatGPT
    was used "to check calculations and compare them with
    the arguments of Dwork, Langlands, and Lakkis, and
    detect inconsistencies in intermediate versions of
    the proof."

    The author "checked the final mathematical
    arguments and assumes responsibility."

    Bye

    Mild Shock schrieb:
    Hi,

    OpenAI has announced enhancing their Math Swarms
    by an interpretability accelerator prompt recently
    discovered in a Terrence Tao workshop.

    So they are now takling:

    Mathematician W. Hugh Woodin Explains Continuum Hypothesis
    https://www.youtube.com/watch?v=ZC7wglkBWMM

    Infinite fun with infinite worlds
    https://ethz.ch/en/news-and-events/eth-news/news/2020/08/infinite-fun-with-the-infinite-worlds.html


    A partial Lean 4 formalization is already in
    the making. But the hurdles are high. Some
    speaker of the effort said:

    The computer might find a new tamagochi knottheory
    lemma, which will then allow SpaceX to fly through
    wormholes, but the hurdle will be hight that

    a single human mathematician mind might
    ingest, understand and interpret it.

    Bye

    Mild Shock schrieb:
    Hi,
    ;
    Hyperspectral measurements for inter-calibration,
    reached a significant milestone this summer.
    ;
    The naval observatory only uses fidget spinners
    to measure time, so forget Colorado.
    ;
    Bye
    ;
    Ross Finlayson schrieb:
    ;  >
    ;  > So, there's at least three accounts of what can define
    "measurement of
    ;  > time", in the micro, meso, and macro.
    ;  >
    ;  > Then these days pretty much the world relies on "the naval
    observatory
    ;  > in Colorado" if not so much "the clock tower in Greenwich", as with >>  >  > regards to ye olde UTC, CUT, "Zulu", and so on, time.
    ;  >
    ;  > About relativity theory and "measuring rods and clocks", then, it's >>  >  > similar that "metric and norm" for "length and distance" also has
    ;  > about the Planckian what are "iota-values" as it would be, or,
    "Pauli
    ;  > Plancks", or "Dirac's Pauli Plancks", of measuring space,
    vis-a-vis,
    ;  > measuring time.
    ;  >
    ;  >
    ;  > So, there are at least three accounts of what defines measuring
    time,
    ;  > and at least three accounts of what defines measuring space.
    ;  >
    ;  >
    ;  > Then, since relativity theory is defined by what does that,
    ;  > it has the various ways, to so fulfill doing that.
    ;  >
    ;  >
    ;  > Yeah, I know, most "professional physicists" only have one of those >>  >  > on their little note-card with which they passed graduate school.
    ;
    Mild Shock schrieb:
    Hi,
    ;
    Ross Finlayson schrieb:
    ;  > Or shaves pennies.
    ;
    ;  >>> X-Machines Virtual Machine (XVM™) is a neurosymbolic virtual AI >>  >>  >>> processor which combines neural processes with symbolic
    reasoning.
    ;  >>> https://aws.amazon.com/marketplace/pp/prodview-6luxq22pgmehe
    ;
    Cost/hour: $200,000.00
    ;
    LoL
    ;
    Bye
    ;
    P.S.: If it could do some quant trading magic, one would
    possibly pay so much. But Logtalk is simply too lame:
    ;
    Version release notes
    XVM Engine v10.2.4 is the full engine capable of running
    all XVM and Logtalk programs, excluding for logtalk tools.
    ;
    Mild Shock schrieb:
    Hi,
    ;
    The 9122171.18175435 is a little offending, what if one
    keeps a federal secret after the 6 fraction digit?
    ;
    Bye
    ;
    Mild Shock schrieb:
    Hi,
    ;
    Ok, leaving the beaten path of my Prolog system
    probing, and look at some newer beast.
    ;
    This looks bad:
    ;
    ?- format('~6f', [pi**14]), nl.
    9122171.18175435
    ;
    Expected result:
    ;
    ?- format('~6f', [pi**14]), nl.
    9122171.181754
    ;
    Bye
    ;
    BTW: Tested using this test tester:
    ;
    X-Machines Virtual Machine (XVM™) is a neurosymbolic virtual AI
    processor which combines neural processes with symbolic reasoning.
    https://aws.amazon.com/marketplace/pp/prodview-6luxq22pgmehe
    ;
    Mild Shock schrieb:
    ;  >>> See also:
    ;  >>> https://prolog-lang.org/ImprovementsForum/0110-format.html
    ;
    ;
    ;
    ;



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  • From Mild Shock@[email protected] to comp.theory,comp.lang.c,comp.lang.c++ on Thu Oct 15 17:39:29 2026
    From Newsgroup: comp.lang.c

    Hi,

    Whoever trolled FOM with this post was a genius:

    Avoiding logical strength in real analysis
    https://arxiv.org/abs/2605.15151

    Alphabet Soup (Buchstabensuppe) for grown-ups!

    "Water boil and herbal steam,
    Dissolve the fog and clear the dream.
    Separate truth from alphabet soup,
    Break the infinite loop and closed-bound loop.
    Banishing Gabriel’s limit-free rage,
    And dark numbers off Mückenheim’s page.

    Filter the FOM of crankery’s noise,
    And pseudo-philosophical, endless decoys.
    Tame $\mathsf{RT}^2_2$ in its wild, jagged zoo,
    Collapse forcing trees down to what is true.
    Bring light to letters, structure to sight,
    Elucidate thoughts in pure hearth light.
    By leaf and steam, by fire and air,

    Make the hidden patterns clear!"

    Bye

    P.S.: Not new, but funny how the big fives
    of reverse math, got a sibling. Can you do
    the heavy lifting without proof assistants?

    Mild Shock schrieb:
    Hi,

    OpenAI has announced enhancing their Math Swarms
    by an interpretability accelerator prompt recently
    discovered in a Terrence Tao workshop.

    So they are now takling:

    Mathematician W. Hugh Woodin Explains Continuum Hypothesis https://www.youtube.com/watch?v=ZC7wglkBWMM

    Infinite fun with infinite worlds https://ethz.ch/en/news-and-events/eth-news/news/2020/08/infinite-fun-with-the-infinite-worlds.html


    A partial Lean 4 formalization is already in
    the making. But the hurdles are high. Some
    speaker of the effort said:

    The computer might find a new tamagochi knottheory
    lemma, which will then allow SpaceX to fly through
    wormholes, but the hurdle will be hight that

    a single human mathematician mind might
    ingest, understand and interpret it.

    Bye

    Mild Shock schrieb:
    Hi,

    Hyperspectral measurements for inter-calibration,
    reached a significant milestone this summer.

    The naval observatory only uses fidget spinners
    to measure time, so forget Colorado.

    Bye

    Ross Finlayson schrieb:
      >
      > So, there's at least three accounts of what can define
    "measurement of
      > time", in the micro, meso, and macro.
      >
      > Then these days pretty much the world relies on "the naval observatory
      > in Colorado" if not so much "the clock tower in Greenwich", as with
      > regards to ye olde UTC, CUT, "Zulu", and so on, time.
      >
      > About relativity theory and "measuring rods and clocks", then, it's
      > similar that "metric and norm" for "length and distance" also has
      > about the Planckian what are "iota-values" as it would be, or, "Pauli
      > Plancks", or "Dirac's Pauli Plancks", of measuring space, vis-a-vis,
      > measuring time.
      >
      >
      > So, there are at least three accounts of what defines measuring time,
      > and at least three accounts of what defines measuring space.
      >
      >
      > Then, since relativity theory is defined by what does that,
      > it has the various ways, to so fulfill doing that.
      >
      >
      > Yeah, I know, most "professional physicists" only have one of those
      > on their little note-card with which they passed graduate school.

    Mild Shock schrieb:
    Hi,

    Ross Finlayson schrieb:
      > Or shaves pennies.

      >>> X-Machines Virtual Machine (XVM™) is a neurosymbolic virtual AI
      >>> processor which combines neural processes with symbolic reasoning.
      >>> https://aws.amazon.com/marketplace/pp/prodview-6luxq22pgmehe

    Cost/hour: $200,000.00

    LoL

    Bye

    P.S.: If it could do some quant trading magic, one would
    possibly pay so much. But Logtalk is simply too lame:

    Version release notes
    XVM Engine v10.2.4 is the full engine capable of running
    all XVM and Logtalk programs, excluding for logtalk tools.

    Mild Shock schrieb:
    Hi,

    The 9122171.18175435 is a little offending, what if one
    keeps a federal secret after the 6 fraction digit?

    Bye

    Mild Shock schrieb:
    Hi,

    Ok, leaving the beaten path of my Prolog system
    probing, and look at some newer beast.

    This looks bad:

    ?- format('~6f', [pi**14]), nl.
    9122171.18175435

    Expected result:

    ?- format('~6f', [pi**14]), nl.
    9122171.181754

    Bye

    BTW: Tested using this test tester:

    X-Machines Virtual Machine (XVM™) is a neurosymbolic virtual AI processor which combines neural processes with symbolic reasoning.
    https://aws.amazon.com/marketplace/pp/prodview-6luxq22pgmehe

    Mild Shock schrieb:
      >>> See also:
      >>> https://prolog-lang.org/ImprovementsForum/0110-format.html






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