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    If strict and weak dominance are categorically distinct r... — Carmelics
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    Challenges→Strict dominance implies weak dominance, but weak dominance does not necessarily imply strict dominance

    If strict and weak dominance are categorically distinct relations rather than stronger and weaker instances of one relation, the claim that strict dominance 'implies' weak dominance mischaracterizes their logical relationship.

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    Key Terms

    Categorically distinct(The statement claims semantic mechanisms of different paradoxes are categorically distinct)
    Fundamentally different in type or category, not just different in degree.
    Implies (in logic)(as used in logic and philosophy)
    When one statement being true means another statement must also be true; a logical connection between two ideas.
    Logical relationship(as used in philosophy and reasoning)
    The way two ideas or statements connect to each other in terms of what follows from what, or whether one proves or supports the other.
    strict dominance(Contrasted with weak dominance in the context of iterated deletion)
    A strategy that yields a strictly better payoff than another strategy for every possible reply by the opponent
    weak dominance

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    (Game theory, iterated deletion of dominated strategies)
    Strategy s1 weakly dominates s2 if a player does at least as well with s1 as with s2 for any reply by the opponent, and strictly better on at least one reply

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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