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    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Bisimilarity is a relation defined relative to a fixed modal signature; varying the signature across levels makes cross-level non-bisimilarity trivially true but philosophically uninformative.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Signature differences between levels may reflect genuine ontological gaps; dismissing these as 'uninformative' begs the question about levels.
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    • 2.Non-bisimilarity under signature variance can reveal which properties are level-specific rather than level-neutral—philosophically crucial information.
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    • 3.Requiring fixed signatures artificially constrains modal logic; real hierarchies may require signature flexibility to express level-appropriate modalities.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Bisimilarity's formal definition requires fixed signature; signature variance makes comparisons equivocate on what 'similarity' means.
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    • 2.Cross-level non-bisimilarity via signature-shifting doesn't reveal structural differences; it merely reflects notational choices.
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    • 3.Philosophically substantive claims should survive signature variation; trivial results block theoretical insight about actual level distinctions.
      ?

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