The Hole Argument in Homotopy Type Theory
Abstract
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, and how scientific representation works. This paper is about the application of a new foundational programme in mathematics, namely homotopy type theory (HoTT), to the Hole Argument. It is argued that the framework of HoTT provides a natural...
Paper Details
Title
The Hole Argument in Homotopy Type Theory
Published Date
Oct 4, 2019
Journal
Volume
50
Issue
4
Pages
319 - 329
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