Second-Order Confidence in Supervaluationism

Author:

Karge JonasORCID

Abstract

AbstractRecently, Wilcox (JGPS 51: 65–87, 2020) argued against the so-called wide interval view and in favor of the principle of indifference as the correct response to unspecific evidence. Embedded in a formal model of the beliefs of an agent, the former presupposes imprecise probabilities and the latter numerically precise degrees of belief. His argument is illustrated by a thought experiment that comes with a fundamental intuition. According to Wilcox, the wide interval view is incompatible with this intuition and, thus, undermined. In contrast, I show that the intuition behind the thought experiment is, in fact, compatible with the wide interval view if it is embedded into a specific conception of imprecise probabilities as model of belief. This conception is an extension of a framework which I call modified supervaluationism (MSV) and which I recently presented elsewhere (Karge 2021, 175–191). To accommodate the thought experiment’s fundamental intuition, it introduces a notion of second-order beliefs.

Funder

Technische Universität Dresden

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,General Social Sciences,Philosophy

Reference17 articles.

1. Bradley, Seamus, and Katie Steele. 2014. Should Subjective Probabilities be Sharp. Episteme 11 (3): 277–289.

2. Bradley, Seamus. 2015. How to Choose Among Choice Functions. In Proceedings of the Ninth International Symposium on Imprecise Probability: Theories and Applications. https://www.sipta.org/isipta15/data/paper/9.pdf. Accessed 30 August 2021.

3. Bradley, Seamus. 2019a. Imprecise Probabilities. The Stanford Encyclopedia of Philosophy (Spring 2019 Edition). https://plato.stanford.edu/archives/spr2019/entries/imprecise-probabilities. Accessed 30 August 2021.

4. Bradley, Seamus. 2019b. A Counterexample to Three Imprecise Decision Theories. Theoria 85 (1): 18–30.

5. Elga, Adam. 2010. Subjective Probabilities Should be Sharp. Philosophers’ Imprint 10.

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