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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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    Hartley Rogers — Carmelics
    Thinkers/Hartley Rogers
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    Hartley Rogers

    contemporaryMathematical Logic / Computability Theory

    1926 – 2015

    Hartley Rogers Jr. (1926–2015) was an American mathematician at MIT known for foundational contributions to recursion theory and computability. His textbook 'Theory of Recursive Functions and Effective Computability' became a standard reference, and he is remembered for Rogers' equivalence theorem on acceptable programming systems.

    WWikipedia

    Notable Achievements

    1

    Authored 'Theory of Recursive Functions and Effective Computability' (1967), a landmark textbook

    2

    Proved Rogers' equivalence theorem characterizing acceptable programming systems

    3

    Advanced the study of Turing degrees and the arithmetical hierarchy

    4

    Long-time professor of mathematics at MIT, mentoring generations of logicians

    5

    Contributed to the philosophical understanding of effective computability

    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 / Computability 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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