Regarding the ‘Hole Argument’

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Regarding the “Hole Argument”

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 blocked.

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Disregarding the ‘Hole Argument’

Jim Weatherall has argued that Einstein’s hole argument is based on a misleading use of mathematics. I argue on the contrary that Weatherall demands an implausible restriction on how mathematics is used. The hole argument, on the other hand, is in no new danger at all.

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Gauge and the Hole Argument

In this paper I shall extend the formulation of the hole argument to permutable theories. As covariant theories provides a general mathematical framework for classical physics, permutable theories provide the language for quantum physics. This analogy is deeply founded: as covariant theories are defined functorially on the category of manifolds and local diffeomorphisms with values into the cat...

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A New Spin on the Hole Argument.∗

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Algebraic substantivalism, as an interpretation of general relativity formulated in the Einstein algebra formalism, avoids the hole argument against manifold substantivalism. In this essay, I argue that this claim is well-founded. I first identify the hole argument as an argument against a specific form of semantic realism with respect to spacetime. I then consider algebraic substantivalism as ...

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ژورنال

عنوان ژورنال: The British Journal for the Philosophy of Science

سال: 2018

ISSN: 0007-0882,1464-3537

DOI: 10.1093/bjps/axw012