Halvorson, Hans and Manchak, JB (2021) Closing the hole argument. [Preprint]
|
Text
hole-argument.pdf Download (336kB) | Preview |
Abstract
The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. Here we attempt to answer the question: what is the mathematical fact that is supposed to underwrite the hole argument? We identify two relevant mathematical claims. The first claim is trivially true, and Weatherall (2018) has convincingly argued that it cannot support the hole argument. The second claim would support the hole argument, but we prove that it is false. Therefore, there is no basis for the hole argument.
| Export/Citation: | EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL |
| Social Networking: |
| Item Type: | Preprint | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Creators: |
|
|||||||||
| Keywords: | spacetime, substantivalism, relationalism, determinism, hole argument | |||||||||
| Subjects: | General Issues > Determinism/Indeterminism Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
|||||||||
| Depositing User: | Hans Halvorson | |||||||||
| Date Deposited: | 04 Nov 2021 04:39 | |||||||||
| Last Modified: | 04 Nov 2021 04:39 | |||||||||
| Item ID: | 19790 | |||||||||
| Subjects: | General Issues > Determinism/Indeterminism Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
|||||||||
| Date: | 3 November 2021 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/19790 |
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Plum Analytics
Actions (login required)
 |
View Item |
![[feed]](http://philsci-archive.pitt.edu/style/images/feed-icon-32x32.png){kind=icon}