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    Hume's premise P3 holds that a demonstrative argument req... — Carmelics
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    Supports→There can be no demonstrative argument for the good performance of any learning algorithm

    Hume's premise P3 holds that a demonstrative argument requires that the negation of its conclusion be a contradiction

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    Related propositions within the same area of thought.
    If there are a priori possible situations in which an algorithm does not perform...The No-Free-Lunch theorems establish that there are a priori possible situations...There can be no demonstrative argument for the good performance of any learning ...

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    A demonstrative argument establishes a conclusion whose negation is a ...94%Under the deductive/inductive interpretation, premise P3 asserts that ...86%If the negation of a conclusion is conceivable, no demonstrative argum...85%Interpreting 'demonstrative' as 'deductive' causes premise P3 to fail,...85%

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    The idea is also given formal expression in the so-called ‘No-Free-Lunch theorems’ (Wolpert 1992, 1996, 1997). These can be interpreted as versions of the argument in Hume’s first fork since they establish that there can be no contradiction in the algorithm not performing well, since there are a priori possible situations in which it does not (Sterkenburg and Grünwald 2021:9992). Given Hume’s premise P3, this rules out a demonstrative argument for its good performance.

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