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    When an announcement concerns an event outside the agent'... — Carmelics
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    Challenges→Bayesian conditioning is the probabilistic counterpart of logical public announcements when new information is accepted as irrevocably true by all agents.

    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

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    Reason for
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    • 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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    Reasons Against

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    Reason against
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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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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Bayesian conditioning is the probabilistic counterpart of logical public announc...Conditionalization requires prior probability assignments; events outside sigma-...Distinguishing undefined conditionalization from well-formed logical operations ...Logical submodels operate on propositional structure rather than measure-theoret...
    +3 moreShow less
    Logical submodels require consistent interpretation functions; events outside pr...Sigma-algebra expansion through sigma-algebra extension preserves conditionaliza...The asymmetry proposed lacks principled justification—both operations face the s...

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