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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that When an announcement concerns an event outside the agent's prior sigma-algebra, conditionalization is undefined, while the logical submodel operation remains well-formed.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Sigma-algebra expansion through sigma-algebra extension preserves conditionalization; the claim conflates technical undefinedness with pragmatic impossibility.
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    • 2.Logical submodels require consistent interpretation functions; events outside priors create identically undefined logical mappings, not just probabilistic ones.
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    • 3.The asymmetry proposed lacks principled justification—both operations face the same underlying problem of representing unanticipated possibilities structurally.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Conditionalization requires prior probability assignments; events outside sigma-algebras lack defined prior probabilities, making Bayes' rule inapplicable.
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    • 2.Logical submodels operate on propositional structure rather than measure-theoretic foundations, so they function outside probabilistic constraints.
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    • 3.Distinguishing undefined conditionalization from well-formed logical operations clarifies when agents face genuine epistemic novelty versus reformulation.
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