Erkenntnis

, Volume 82, Issue 2, pp 339–350

Carnap’s Relevance Measure as a Probabilistic Measure of Coherence

Original Article

DOI: 10.1007/s10670-016-9820-z

Cite this article as:
Koscholke, J. Erkenn (2017) 82: 339. doi:10.1007/s10670-016-9820-z

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 (i) satisfy and violate the same adequacy constraints, (ii) despite not being ordinally equivalent exhibit a strong correlation with each other in a Monte Carlo simulation and (iii) perform similarly in a series of test cases for probabilistic coherence measures.

Funding information

Funder NameGrant NumberFunding Note
Deutsche Forschungsgemeinschaft (DE)
  • SI 1731/1-1

Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Philosophy DepartmentUniversity of OldenburgOldenburgGermany

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