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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
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    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Whether the second machine class properly extends the first machine class is currently an open problem

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Mathematical openness does not entail epistemic equipoise: asymmetric evidence can rationally favor one resolution over another.
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    • 2.The overwhelming failure of proposed hypercomputation models to escape physical realizability constraints constitutes strong inductive evidence against proper extension.
      ?

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    • 3.Epistemic humility about formal proof is distinct from genuine uncertainty about the underlying mathematical fact, which may already be determinate.
      ?

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    Reason for 2 of 2
    ?
    • 1.Turing's original Church-Turing thesis, interpreted as a physical hypothesis by Deutsch and others, constrains what machine classes are genuinely possible.
      ?

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    • 2.If the physical Church-Turing thesis is correct, the second machine class is not physically realizable, dissolving the openness as philosophically significant.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Demonstrating formally that the second machine class is not realistic would require proving separation results for complexity classes
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    • 2.Those separation results are currently unresolved
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