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    Lachlan — Carmelics
    Thinkers/Lachlan
    L

    Lachlan

    contemporaryAnalytic Philosophy / Mathematical Logic

    b. 1937

    Lachlan is a contemporary figure associated with technical results in computability theory, specifically concerning the non-primitive-recursive nature of universal functions for primitive recursive functions. The name most likely refers to Alistair H. Lachlan, a Scottish-Canadian mathematical logician known for contributions to recursion theory and model theory.

    WWikipedia

    Notable Achievements

    1

    Contributions to recursion theory, including results on recursively enumerable degrees

    2

    Work on the structure of the Turing degrees

    3

    Research in model theory and stability theory

    4

    Demonstrated limitations of primitive recursive universal functions

    Positions & Arguments

    (1)

    Modality & Possibility

    claim

    The universal function u_1(i,x) = g_i(x) for unary primitive recursive functions cannot itself be primitive recursive

    Truth & Knowledge

    claim

    The universal function u_1(i,x) = g_i(x) for unary primitive recursive functions cannot itself be primitive recursive

    At a Glance

    Ideas

    1

    Topics

    2

    Era

    contemporary

    Tradition

    Analytic Philosophy / Mathematical Logic

    Topic Influence

    Truth & Knowledge1
    Modality & Possibility1

    Related Thinkers

    David Lewis2 sharedImmanuel Kant2 sharedAristotle2 sharedBrian Skyrms2 sharedBertrand Russell2 sharedDavid Hume2 sharedPlato2 sharedStathis Psillos2 shared

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