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    Carmelics

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    LoyalLoyalJusticeJustice
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    Inverse View

    It is not the case that This order-dependence reveals that weak dominance lacks the modal robustness required for genuine dominance reasoning, suggesting weak dominance is not a weakened form of the same relation but a categorically different one.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Order-dependence reflects how agents enumerate strategies, not metaphysical difference; the underlying dominance relation remains invariant.
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    • 2.Weak dominance provides weaker but identical normative guidance as strong dominance: neither strictly rationally mandates action.
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    • 3.Many mathematical relations (e.g., limits, approximations) are degree-variants with context-sensitivity; context-dependence doesn't entail categorical difference.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Weak dominance reversals under reordering show path-dependence absent in strong dominance, indicating fundamentally different logical structures.
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    • 2.Modal robustness—invariance across counterfactual contexts—is essential to dominance as a rational principle, and weak dominance fails this criterion.
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    • 3.Categorical differences in kind are more explanatorily parsimonious than positing degrees of a single relation with discontinuous properties.
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