Epistemic Holes and Determinism in Classical General Relativity.

Determinism fails easily if spacetimes with points removed from the spacetime manifold are taken to be physically reasonable representations of a way the world could be according to classical general relativity. I discuss a recently proposed condition for determining which spacetimes have holes—epis...

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Publicado en:British Journal for the Philosophy of Science Vol. 71; no. 3; pp. 1093 - 1112
Autor principal: Doboszewski, Juliusz
Formato: Artículo
Publicado: University of Chicago Press Sep2020
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Acceso en línea:Ver este registro en EBSCOhost
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        General relativity (Physics)
        Naturopathy
        Manifolds (Mathematics)
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          General relativity (Physics)
          Naturopathy
          Manifolds (Mathematics)
      ab: Determinism fails easily if spacetimes with points removed from the spacetime manifold are taken to be physically reasonable representations of a way the world could be according to classical general relativity. I discuss a recently proposed condition for determining which spacetimes have holes—epistemic hole freeness—and show that (a) epistemic hole freeness gives the correct verdict in some (but not all) non-globally hyperbolic spacetimes with a closed subset removed, (b) certain spacetimes with genuinely indeterministic features count as having an epistemic hole, which implies that the requirement of epistemic hole freeness enforces a form of determinism, and (c) there is a large class of spacetimes that intuitively are radically indeterministic and unphysical due to containing a hole (of a kind), but are free from epistemic holes. I show that a few natural ways of remedying (c) are not satisfactory.
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