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The ubiquitous defeaters: no admissibility troubles for Bayesian accounts of direct inference

Gyenis, Zalán and Wronski, Leszek (2019) The ubiquitous defeaters: no admissibility troubles for Bayesian accounts of direct inference. [Preprint]

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Abstract

In this paper we dispel the supposed ``admissibility troubles'' for Bayesian accounts of direct inference proposed by Wallmann and Hawthorne (2018), which concern the existence of surprising, unintuitive defeaters even for mundane cases of direct inference. We show that if one follows the majority of authors in the field in using classical probability spaces unimbued with any additional structure, one should expect similar phenomena to arise and should consider them unproblematic in themselves: defeaters abound! We then show that the framework of Higher Probability Spaces (Gaifman 1988) allows the natural modelling of the discussed cases which produces no troubles of this kind.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gyenis, Zalángyz@renyi.hu
Wronski, Leszekleszek.wronski@uj.edu.pl
Keywords: Bayesianism, probabilistic defeaters, Higher order probability
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Probability/Statistics
Depositing User: Zalán Gyenis
Date Deposited: 02 Aug 2019 04:11
Last Modified: 02 Aug 2019 04:11
Item ID: 16281
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Probability/Statistics
Date: 1 August 2019
URI: https://philsci-archive.pitt.edu/id/eprint/16281

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