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    The classical interpretation requires an a priori princip... — Carmelics
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    Supports→The classical interpretation of probability yields implausible and contradictory results when applied generally.

    The classical interpretation requires an a priori principled basis for individuating possibilities, but no such basis exists independently of antecedent probability assignments.

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    Reasons For

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    Reason for
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    • 1.Any partition of a sample space into equiprobable outcomes presupposes prior choices about grain size and cardinality.
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    • 2.Different partitions of identical physical situations yield different uniform probability distributions over possibilities.
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    • 3.Without independent criteria for 'natural' partitions, the choice of partition appears arbitrary rather than principled.
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    Reasons Against

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    Reason against
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    • 1.Mathematical symmetries and invariance principles provide objective bases for individuating equiprobable possibilities independently.
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    • 2.The indifference principle applies only within a pre-given possibility space; it doesn't create individuation, only assigns probabilities.
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    • 3.Physics provides natural individuations (energy levels, quantum states) that constrain possibility partitions before probability enters.
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    Natural Theology1 linked

    Related

    Any partition of a sample space into equiprobable outcomes presupposes prior cho...Different partitions of identical physical situations yield different uniform pr...Mathematical symmetries and invariance principles provide objective bases for in...Physics provides natural individuations (energy levels, quantum states) that con...
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    The classical interpretation of probability yields implausible and contradictory...The indifference principle applies only within a pre-given possibility space; it...Without independent criteria for 'natural' partitions, the choice of partition a...

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    Perspectives
    2 (1 for, 1 against)