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    Inverse View

    It is not the case that Wolpert and Macready's NFL theorems presuppose a uniform prior over all possible target functions, a substantive assumption Hume's skeptical argument does not require.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Any learning algorithm implicitly embodies an inductive bias, which functions equivalently to a non-uniform prior, making the distinction less sharp.
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    • 2.Hume's skepticism also presupposes certain logical and metaphysical assumptions about causality and uniformity of nature that are substantive premises.
      ?

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    • 3.Both arguments require background assumptions; distinguishing 'substantive' from 'non-substantive' assumptions is itself philosophically contested and unclear.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.NFL theorems mathematically assume equiprobability across all target functions, making this assumption explicit and verifiable.
      ?

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    • 2.Hume's induction skepticism operates at a more fundamental epistemological level, questioning justification without presupposing any probability distribution.
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    • 3.The uniform prior is contingent to NFL's conclusions; different priors yield different results, whereas Hume's argument holds regardless of priors.
      ?

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