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    Earman and Norton's hole argument literature shows that s... — Carmelics
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    Challenges→There does not exist a unique standard of zero 3-acceleration that is intrinsic to the differential topological structure of spacetime.

    Earman and Norton's hole argument literature shows that structural facts about frame-equivalence classes can be intrinsic to manifold structure without requiring additional geometric objects.

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    Key Terms

    Earman and Norton(as the authors being referenced)
    Two philosophers (John Earman and John D. Norton) who wrote influential papers about 'supertasks'—thought experiments involving infinite sequences of actions happening in finite time.
    Frame-equivalence classes(as mathematical structures in physics)
    Groups of different mathematical descriptions (or 'frames') that are considered equivalent because they represent the same physical situation, just described differently.
    Geometric objects(as additional structures that may or may not be needed)
    Mathematical things like points, curves, or surfaces that have spatial properties and relationships.
    Intrinsic(describing the kind of continuities that ground identity)
    Something that belongs to or is part of something by its very nature, rather than coming from outside or being relational.

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    Structural facts(as a type of fact about spacetime)
    Information about how things relate to and connect with each other, rather than facts about individual things themselves.
    hole argument(Later recognized by Einstein himself in 1915 to be based on a false premise)
    Einstein's 1913 argument that generally covariant field equations permit two different solutions in a matter-free and energy-free region of spacetime (a 'hole'), where the two solutions assign different values of the metric tensor to the same spacetime point, allegedly violating univocalness
    manifold(Kant's account of cognition in the Critique of Pure Reason)
    The raw, unstructured multiplicity of content given in intuition prior to conceptual unification by the understanding

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    There does not exist a unique standard of zero 3-acceleration that is intrinsic ...

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