Notre Dame Journal of Formal Logic

A Remark on Probabilistic Measures of Coherence

Sergi Oms

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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.

Article information

Source
Notre Dame J. Formal Logic, Volume 61, Number 1 (2020), 129-140.

Dates
Received: 19 August 2018
Accepted: 11 February 2019
First available in Project Euclid: 29 November 2019

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1574996415

Digital Object Identifier
doi:10.1215/00294527-2019-0035

Subjects
Primary: 81P05: General and philosophical
Secondary: 03A10: Logic in the philosophy of science

Keywords
probabilistic measures of coherence completeness liar-like entities

Citation

Oms, Sergi. A Remark on Probabilistic Measures of Coherence. Notre Dame J. Formal Logic 61 (2020), no. 1, 129--140. doi:10.1215/00294527-2019-0035. https://projecteuclid.org/euclid.ndjfl/1574996415


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