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    Purely probabilistic relevance without deductive anchorin... — Carmelics
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    Challenges→A hypothesis need not be deductively related to evidence in order to bear on it probabilistically

    Purely probabilistic relevance without deductive anchoring permits confirmation paradoxes where irrelevant hypotheses gain spurious support from unrelated evidence.

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    Reasons For

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    • 1.Hempel's raven paradox shows pure probabilistic confirmation allows irrelevant evidence to support hypotheses without logical connection.
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    • 2.Without deductive constraints, any evidence raising H's probability counts equally, even when logically unrelated to H's core claims.
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    • 3.Deductive anchoring ensures evidence bears on what actually explains H, preventing spurious probabilistic correlations from confirming it.
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    Reasons Against

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    • 1.Many successful scientific confirmations are probabilistic without deductive entailment: medical trials confirm drug efficacy via statistics alone.
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    • 2.Bayesian frameworks prevent the paradox through prior probabilities—unrelated evidence gets filtered by low likelihoods, not by requiring deduction.
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    • 3.Requiring deductive anchoring excludes legitimate inductive reasoning and makes confirmation too restrictive for empirical sciences.
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    Related

    A hypothesis need not be deductively related to evidence in order to bear on it ...Bayesian frameworks prevent the paradox through prior probabilities—unrelated ev...Deductive anchoring ensures evidence bears on what actually explains H, preventi...Hempel's raven paradox shows pure probabilistic confirmation allows irrelevant e...
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    Many successful scientific confirmations are probabilistic without deductive ent...Requiring deductive anchoring excludes legitimate inductive reasoning and makes ...Without deductive constraints, any evidence raising H's probability counts equal...

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