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January 2020 A Remark on Probabilistic Measures of Coherence
Sergi Oms
Notre Dame J. Formal Logic 61(1): 129-140 (January 2020). DOI: 10.1215/00294527-2019-0035

Abstract

In recent years, some authors have proposed quantitative measures of the coherence of sets of propositions. Such probabilistic measures of coherence (PMCs) are, in general terms, functions that take as their argument a set of propositions (along with some probability distribution) and yield as their value a number that is supposed to represent the degree of coherence of the set. In this paper, I introduce a minimal constraint on PMC theories, the weak stability principle, and show that any correct, coherent, and complete PMC cannot satisfy it. As a matter of fact, the argument offered in this paper can be applied to any coherence theory that uses a priori procedures. I briefly explore some consequences of this fact.

Citation

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Sergi Oms. "A Remark on Probabilistic Measures of Coherence." Notre Dame J. Formal Logic 61 (1) 129 - 140, January 2020. https://doi.org/10.1215/00294527-2019-0035

Information

Received: 19 August 2018; Accepted: 11 February 2019; Published: January 2020
First available in Project Euclid: 29 November 2019

zbMATH: 07196095
MathSciNet: MR4054248
Digital Object Identifier: 10.1215/00294527-2019-0035

Subjects:
Primary: 81P05
Secondary: 03A10

Rights: Copyright © 2020 University of Notre Dame

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Vol.61 • No. 1 • January 2020
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