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    The bare logical fact that Not-Q8* entails or explains E8... — Carmelics
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    Challenges→E8 is evidence (perhaps very weak evidence) for believing Not-Q8*

    The bare logical fact that Not-Q8* entails or explains E8 is insufficient for confirmation without specifying the relevant likelihood ratios (Sober, 'Likelihoodism').

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    Reasons For

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    • 1.Entailment alone cannot distinguish between hypotheses that both predict the same evidence equally well.
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    • 2.Likelihood ratios quantify comparative predictive power, which is necessary for rational hypothesis selection.
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    • 3.Two theories can entail identical evidence but differ drastically in how probable that evidence is under each.
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    Reasons Against

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    • 1.If Not-Q8* entails E8, then E8 is logically guaranteed given Not-Q8*, making likelihood ratios trivial (ratio of 1).
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    • 2.Requiring likelihood ratios imposes an additional informational burden beyond what logic and observation provide.
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    • 3.Sober's likelihoodism conflates explanatory power with confirmation; deductive entailment may suffice for the former.
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    E8 is evidence (perhaps very weak evidence) for believing Not-Q8*Entailment alone cannot distinguish between hypotheses that both predict the sam...If Not-Q8* entails E8, then E8 is logically guaranteed given Not-Q8*, making lik...Likelihood ratios quantify comparative predictive power, which is necessary for ...
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    Requiring likelihood ratios imposes an additional informational burden beyond wh...Sober's likelihoodism conflates explanatory power with confirmation; deductive e...Two theories can entail identical evidence but differ drastically in how probabl...

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