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    If Bayesian conditioning and public announcements only al... — 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.

    If Bayesian conditioning and public announcements only align under the special assumption of probability-1 updating, the claimed 'counterpart' relation holds only for a narrow, non-representative class of epistemic updates.

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    Key Terms

    Bayesian conditioning(Probabilistic counterpart to logical public announcements when information is hard.)
    The probabilistic operation of recalculating probability distributions by conditioning on the truth of newly received information.
    Epistemic
    "Epistemic" relates to knowledge—how we know things, what counts as knowledge, and whether we can trust what we believe to be true. It comes from the Greek word for knowledge and is used to describe questions about the reliability and validity of our beliefs and understanding. For example, "epistemic humility" means acknowledging the limits of what you can actually know for certain.
    Epistemic updates(epistemology)
    Changes in what someone knows or believes when they learn something new.
    Probability-1 updating(epistemology and probability)
    A situation where you become completely certain (100% sure) about something based on new information, with no remaining doubt.

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    Public announcements(epistemology and logic)
    In logic and philosophy, a statement or piece of information that becomes known to everyone in a group at the same time.
    counterpart relation(Used by counterpart theorists to interpret de re modal claims.)
    A relation based on resemblance that, unlike identity, is not transitive.

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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    Bayesian conditioning is the probabilistic counterpart of logical public announc...

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