On the mathematics and metaphysics of the hole argument

@article{Pooley2021OnTM,
  title={On the mathematics and metaphysics of the hole argument},
  author={Oliver Pooley and James Read},
  journal={The British Journal for the Philosophy of Science},
  year={2021}
}
  • O. Pooley, J. Read
  • Published 8 October 2021
  • Physics
  • The British Journal for the Philosophy of Science
We make some remarks on the mathematics and metaphysics of the hole argument, in response to a recent article by Weatherall. Broadly speaking, we defend the mainstream philosophical literature from the claim that correct usage of the mathematics of general relativity ‘blocks’ 
Mathematical Responses to the Hole Argument: Then and Now
We argue that several apparently distinct responses to the hole argument, all invoking formal or mathematical considerations, should be viewed as a unified “mathematical response”. We then consider
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References

SHOWING 1-10 OF 56 REFERENCES
Regarding ‘Leibniz Equivalence’
Leibniz Equivalence is a principle of applied mathematics that is widely assumed in both general relativity textbooks and in the philosophical literature on Einstein’s hole argument. In this article,
The Hole Argument in Homotopy Type Theory
The Hole Argument is primarily about the meaning of general covariance in general relativity. As such it raises many deep issues about identity in mathematics and physics, the ontology of space–time,
Regarding the ‘Hole Argument’
  • J. Weatherall
  • Physics, Mathematics
    The British Journal for the Philosophy of Science
  • 2018
I argue that the hole argument is based on a misleading use of the mathematical formalism of general relativity. If one is attentive to mathematical practice, I will argue, the hole argument is
New Perspectives on the Hole Argument
This special issue of Foundations of Physics collects together articles representing some recent new perspectives on the hole argument in the history and philosophy of physics. Our task here is to
Regarding the ‘Hole Argument’ and the ‘Problem of Time’
TLDR
Conceptual and formal inadequacies within the representative language of canonical gravity will be shown to be at the heart of both the canonical hole argument and the problem of time.
Fifty Million Elvis Fans Can’t be Wrong
This essay revisits some classic problems in the philosophy of space and time concerning the counting of possibilities. I argue that we should think that two Newtonian worlds can differ only as to
What Price Spacetime Substantivalism? The Hole Story
Spacetime substantivalism leads to a radical form of indeterminism within a very broad class of spacetime theories which include our best spacetime theory, general relativity. Extending an argument
Substances and space-time: What Aristotle would have said to Einstein
Abstract This essay consists of two parts. The first is an exegetical analysis of the “stripping” argument of Metaphysics Z.3. I contend that the passage is not in propria persona and that the
Points, particles, and structural realism
In his paper ``What is Structural Realism?'' James Ladyman drew a distinction between epistemological structural realism and metaphysical (or ontic) structural realism. He also drew a suggestive
Holes in Spacetime: Some Neglected Essentials
The hole argument purports to show that all spacetime theories of a certain form are indeterministic, including General Relativity. The argument has sparked an industry of searching for a metaphysics
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