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    Under strict coherence conditions articulated by Shimony ... — Carmelics
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    Challenges→The standard treatment of zero-probability events differs between finite/discrete and continuous distributions

    Under strict coherence conditions articulated by Shimony and later Skyrms, every logically possible event must receive positive credence, making genuine zero-probability assignments rationally impermissible regardless of distribution type.

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    Key Terms

    Coherence conditions(as used in probability and rational belief)
    A set of logical rules that determine whether a system of beliefs or probability assignments makes sense together without contradicting itself.
    Distribution type(as used in probability and statistics)
    Different mathematical ways of assigning probabilities across possible outcomes (for example, some events might be equally likely, or some might be more likely than others).
    Logically possible event(as used in probability theory)
    Any outcome or situation that doesn't violate the basic rules of logic—basically, anything you can imagine without creating a logical contradiction.
    Positive credence(as used in probability theory)
    Assigning some probability greater than zero to an event—meaning you think there's at least some chance it could happen.

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    Rationally impermissible(as used in epistemology and decision theory)
    Something that goes against the rules of rational thinking—in other words, it's irrational or logically indefensible to do it.
    Shimony(as a foundational contributor to coherence theory)
    Henry Shimony was a 20th-century philosopher and physicist who developed important theories about how probabilities should work in quantum mechanics and rational thinking.
    Skyrms(the author being referenced)
    Brian Skyrms is a philosopher who studies how people's behavior and agreements evolve over time using math and game theory.
    Zero-probability assignments(as used in probability and rational belief)
    Saying that something has absolutely no chance of happening—assigning it a probability of exactly 0.
    credence(Bayesian epistemology)
    A subjective degree of belief, used in Bayesian epistemology to represent how strongly an agent believes a proposition.

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