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    Carmelics

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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Church's Thesis is an empirical conjecture about physical computation, not a logical necessity, as Copeland and Proudfoot argue, leaving the definition stipulative rather than revelatory.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Church's Thesis concerns mathematical functions, not physical processes, making it a conceptual claim about computability, not an empirical claim about nature.
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    • 2.The convergence of Turing machines, lambda calculus, and recursion on identical function classes reflects mathematical necessity, not contingent physical facts.
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    • 3.Declaring it merely stipulative undermines its explanatory power—it would explain why no counterexample exists without revealing why.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Church's Thesis emerged from observing multiple independent computational models converging, suggesting empirical discovery rather than logical deduction.
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    • 2.Physical systems exhibit computational limits (quantum constraints, thermodynamics) that aren't logically necessary, suggesting Church's Thesis depends on physical facts.
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    • 3.If Church's Thesis were logically necessary, hypercomputation would be conceptually incoherent, yet it's intelligible even if physically impossible.
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