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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Logical characterizations like SO∃ are themselves artifacts of specific metatheoretical choices about syntax, semantics, and expressive power.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.SO∃'s logical properties (incompleteness, capturing NP on finite structures) hold across multiple formal frameworks and metatheories.
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    • 2.If characterizations were mere artifacts of choices, isomorphic logical systems would yield different core results—but they don't.
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    • 3.The claim conflates epistemological dependence on frameworks with metaphysical dependence, risking collapsing all logic into pure convention.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Different formal systems (first-order, second-order, infinitary logic) capture different classes of properties depending on their syntactic rules.
      ?

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    • 2.What counts as 'definable' or 'expressible' varies with semantic choices (Tarskian models vs. alternative model classes).
      ?

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    • 3.SO∃ boundaries reflect prior commitments about quantifier scope and variable domains, not mind-independent logical facts.
      ?

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