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Mathematical Responses to the Hole Argument: Then and Now

Bradley, Clara and Weatherall, James Owen (2021) Mathematical Responses to the Hole Argument: Then and Now. [Preprint]

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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.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Bradley, Claracbradle1@uci.edu
Weatherall, James Owenweatherj@uci.edu
Keywords: hole argument, general relativity, substantivalism, relationism
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Depositing User: Ms Clara Bradley
Date Deposited: 17 Oct 2021 23:31
Last Modified: 17 Oct 2021 23:31
Item ID: 19703
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Date: 2021
URI: https://philsci-archive.pitt.edu/id/eprint/19703

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