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    Carmelics

    A reasoning platform. Break down any belief into clear reasons, explore both sides, and weigh the evidence honestly.

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    Sergei Artemov — Carmelics
    Thinkers/Sergei Artemov
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    Sergei Artemov

    contemporaryMathematical Logic / Proof Theory

    b. 1951

    Sergei Artemov is a Russian-American logician and computer scientist at the CUNY Graduate Center, known for creating Justification Logic (the Logic of Proofs), which provides an explicit proof-term semantics for modal logic. His work resolved a long-standing problem posed by Gödel concerning the intended provability semantics of intuitionistic logic and has influenced the foundations of knowledge, verification, and epistemic reasoning.

    SEPStanford Encyclopedia

    Notable Achievements

    1

    Created the Logic of Proofs (LP), resolving Gödel's open problem on the provability semantics of intuitionistic logic

    2

    Founded the field of Justification Logic, providing explicit evidence tracking for epistemic and modal reasoning

    3

    Demonstrated fundamental limits on treating logical knowledge as purely a priori due to computational complexity

    4

    Contributed to arithmetical completeness theorems connecting provability logic with formal arithmetic

    Positions & Arguments

    (1)

    Skepticism

    claim

    There is a fundamental tension between treating logical knowledge as a priori and the computational intractability of deciding logical validity.

    Truth & Knowledge

    claim

    There is a fundamental tension between treating logical knowledge as a priori and the computational intractability of deciding logical validity.

    At a Glance

    Ideas

    1

    Topics

    2

    Era

    contemporary

    Tradition

    Mathematical Logic / Proof Theory

    Topic Influence

    Truth & Knowledge1
    Skepticism1

    Related Thinkers

    David Lewis2 sharedImmanuel Kant2 sharedBoyd2 sharedBrian Skyrms2 sharedStathis Psillos2 sharedBertrand Russell2 sharedDavid Hume2 sharedAristotle2 shared

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