On the mathematics and metaphysics of the hole argument
Oliver Pooley, James Read
TL;DR
This paper discusses the mathematical and metaphysical aspects of the hole argument in general relativity, defending the mainstream philosophical perspective against claims that proper mathematical usage invalidates the argument.
Contribution
It offers a detailed analysis of the hole argument's mathematical and metaphysical foundations, countering recent claims that correct mathematical application undermines it.
Findings
Reaffirms the validity of the hole argument within the mainstream philosophical view.
Clarifies misconceptions about the role of mathematics in the hole argument.
Engages with recent critiques to defend the philosophical significance of the argument.
Abstract
We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article in this journal by Weatherall ([2018]). Broadly speaking, we defend the mainstream philosophical literature from the claim that correct usage of the mathematics of general relativity 'blocks' the argument.
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