Erkenntnis 82 (2):339-350 (2017)

Abstract
Tomoji Shogenji is generally assumed to be the first author to have presented a probabilistic measure of coherence. Interestingly, Rudolf Carnap in his Logical Foundations of Probability discussed a function that is based on the very same idea, namely his well-known relevance measure. This function is largely neglected in the coherence literature because it has been proposed as a measure of evidential support and still is widely conceived as such. The aim of this paper is therefore to investigate Carnap’s measure regarding its plausibility as a candidate for a probabilistic measure of coherence by comparing it to Shogenji’s. It turns out that both measures satisfy and violate the same adequacy constraints, despite not being ordinally equivalent exhibit a strong correlation with each other in a Monte Carlo simulation and perform similarly in a series of test cases for probabilistic coherence measures.
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DOI 10.1007/s10670-016-9820-z
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References found in this work BETA

Logical Foundations of Probability.Rudolf Carnap - 1950 - Chicago, IL, USA: Chicago University of Chicago Press.
The Structure of Empirical Knowledge.Laurence BonJour - 1985 - Cambridge, MA, USA: Harvard University Press.
Bayesian Epistemology.Luc Bovens & Stephan Hartmann - 2003 - Oxford: Oxford University Press.
The Logical Foundations of Probability.Rudolf Carnap - 1950 - Journal of Philosophy 60 (13):362-364.

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Citations of this work BETA

A Remark on Probabilistic Measures of Coherence.Sergi Oms - 2020 - Notre Dame Journal of Formal Logic 61 (1):129-140.

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