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    Ian Hacking's early likelihoodism acknowledged this gap, ... — Carmelics
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    Challenges→Likelihoodists, who reject Bayesian prior probabilities, may still embrace the Likelihood Ratio Convergence Theorem.

    Ian Hacking's early likelihoodism acknowledged this gap, conceding that likelihoods cannot adjudicate the choice of the hypothesis space itself.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
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    Reasons For

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    Reason for
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    • 1.Likelihood ratios only compare hypotheses within a fixed set; they cannot justify why that set exists rather than alternatives.
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    • 2.The hypothesis space itself reflects prior theoretical commitments, background knowledge, and pragmatic choices beyond likelihood calculations.
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    • 3.Acknowledging this gap prevents false claims that pure statistical methods can solve the prior problem of model selection.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Hacking's concession may undermine likelihoodism's core claim to provide a complete inductive logic without external assumptions.
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    • 2.If hypothesis spaces require justification outside likelihood, likelihoodism becomes incomplete rather than foundational for inference.
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    • 3.This gap suggests Bayesian or information-theoretic methods might better integrate hypothesis space selection with likelihood evaluation.
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    Key Terms

    knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
    Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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    Truth & Knowledge1 linkedSkepticism1 linked

    Related

    Acknowledging this gap prevents false claims that pure statistical methods can s...Hacking's concession may undermine likelihoodism's core claim to provide a compl...If hypothesis spaces require justification outside likelihood, likelihoodism bec...Likelihood ratios only compare hypotheses within a fixed set; they cannot justif...
    +3 moreShow less
    Likelihoodists, who reject Bayesian prior probabilities, may still embrace the L...The hypothesis space itself reflects prior theoretical commitments, background k...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit
    This gap suggests Bayesian or information-theoretic methods might better integra...