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    Hume's first fork distinguishes demonstrative from probab... — Carmelics
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    Supports→The No-Free-Lunch theorems are versions of the argument in Hume's first fork

    Hume's first fork distinguishes demonstrative from probable reasoning, where demonstrative arguments require logical necessity

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    The No-Free-Lunch theorems are versions of the argument in Hume's first forkThe No-Free-Lunch theorems show that no contradiction arises from an algorithm f...

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    A demonstrative argument is one in which certainty is transferred from...83%Interpreting 'demonstrative' as 'deductive' causes premise P3 to fail,...81%Abstract (demonstrative) reasoning involves a priori inferences about ...81%It remains possible to construct a demonstrative argument establishing...81%

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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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