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

    It is not the case that Separating space-time structures into manifold and metric opens up problems for determinism beyond the hole argument

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.The substantivalist can adopt sophisticated versions that block indeterminism without abandoning the manifold-metric separation, as Hoefer and Maudlin argue.
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    • 2.Leibniz equivalence, which dissolves hole-type indeterminism by identifying diffeomorphic models, is compatible with retaining the manifold-metric distinction.
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    • 3.If indeterminism is eliminated at the level of physical equivalence classes, singularity-based problems require separate and independent justification beyond the hole argument.
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    Reason for 2 of 2
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    • 1.Penrose's cosmic censorship conjecture, if true, would confine singularities behind event horizons, preventing them from generating observationally distinct indeterministic threats.
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    • 2.A problem that is empirically and causally quarantined from the observable universe does not constitute a genuine failure of determinism for the physical world as modeled.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.The separation of space-time into manifold and metric facilitates mathematical clarity
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    • 2.The Earman-Norton hole argument shows that this separation introduces indeterminism
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    • 3.Singularities represent additional and more extensive sources of indeterminism arising from the same separation
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