Epistemic Holes and Determinism in Classical General Relativity

British Journal for the Philosophy of Science 71 (3):1093-1111 (2020)
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Abstract

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 epistemic hole freeness gives the correct verdict in some non-globally hyperbolic spacetimes with a closed subset removed, 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 there is a large class of spacetimes that intuitively are radically indeterministic and unphysical due to containing a hole, but are free from epistemic holes. I show that a few natural ways of remedying are not satisfactory.

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Juliusz Doboszewski
Universität Bonn

References found in this work

What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
The hole truth.Jeremy Butterfield - 1989 - British Journal for the Philosophy of Science 40 (1):1-28.

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