English

Mathematical Responses to the Hole Argument: Then and Now

History and Philosophy of Physics 2021-10-19 v1 General Relativity and Quantum Cosmology

Abstract

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 and rebut two prominent critiques of the mathematical response before reflecting on what is ultimately at issue in this literature.

Keywords

Cite

@article{arxiv.2110.08404,
  title  = {Mathematical Responses to the Hole Argument: Then and Now},
  author = {Clara Bradley and James Owen Weatherall},
  journal= {arXiv preprint arXiv:2110.08404},
  year   = {2021}
}