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    The separation of space-time into manifold and metric fac... — Carmelics
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    Supports→Separating space-time structures into manifold and metric opens up problems for determinism beyond the hole argument

    The separation of space-time into manifold and metric facilitates mathematical clarity

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    Separating space-time structures into manifold and metric opens up problems for ...Singularities represent additional and more extensive sources of indeterminism a...The Earman-Norton hole argument shows that this separation introduces indetermin...

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    Separating space-time structures into manifold and metric opens up pro...76%Points where Einstein's equations do not hold arguably do not exist as...68%Maximality alone does not guarantee hole freeness in the sense require...61%Without hole freeness, determinism can fail even in otherwise well-beh...61%

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    The separation of space-time structures into manifold and metric (or connection) facilitates mathematical clarity in many ways, but also opens up Pandora’s box when it comes to determinism. The indeterminism of the Earman and Norton hole argument is only the tip of the iceberg; singularities make up much of the rest of the berg. In general terms, a singularity can be thought of as a “place where things go bad” in one way or another in the space-time model. For example, near the center of a Schwa

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