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    Probability should be understood as nothing other than su... — Carmelics
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    Probability should be understood as nothing other than subjective opinion

    SkepticismTruth & Knowledge
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Statistical hypotheses are superfluous metaphysical baggage
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    • 2.Representation theorems allow probability assignments to be given a subjective and behavioral interpretation without reference to hypotheses
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Frequency data from repeated trials constrain rational probability assignments in ways that cannot be reduced to mere subjective preference.
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    • 2.Von Mises's limiting frequency interpretation grounds probability in objective empirical patterns that exist independently of any agent's beliefs.
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    • 3.If probability were purely subjective, the predictive success of actuarial science and quantum mechanics would be a miraculous coincidence.
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    Reason against 2 of 2
    ?
    • 1.Representation theorems like de Finetti's require coherence constraints that are themselves normative and not derivable from subjective opinion alone.
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    • 2.The Dutch Book argument presupposes rational consistency as an objective standard, undermining a purely subjectivist foundation for probability.
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    Related

    Frequency data from repeated trials constrain rational probability assignments i...If probability were purely subjective, the predictive success of actuarial scien...Representation theorems allow probability assignments to be given a subjective a...Representation theorems like de Finetti's require coherence constraints that are...
    +3 moreShow less
    Statistical hypotheses are superfluous metaphysical baggageThe Dutch Book argument presupposes rational consistency as an objective standar...Von Mises's limiting frequency interpretation grounds probability in objective e...

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    Representation theorems equate a prior distribution over statistical hypotheses to a prediction rule, and thus to a probability assignment that can be given a subjective and behavioral interpretation. This removes the worry expressed above, that the prior distribution over hypotheses cannot be interpreted subjectively because it cannot be related to belief as a willingness to act: priors relate uniquely to particular predictions. However, for De Finetti the representation theorem provided a reas
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    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit