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Inconsistency measurement in probabilistic logic. (English) Zbl 1451.68259
Grant, John (ed.) et al., Measuring inconsistency in information. London: College Publications. Stud. Log. (Lond.) 73, 235-269 (2018).
Summary: We survey the state of the art of inconsistency measurement in probabilistic logics. Compared to the setting of inconsistency measurement in classical logic, the incorporation of probabilistic assessments brings new challenges that have to be addressed by computational accounts to inconsistency measures. For that, we revisit rationality postulates for this setting and discuss the intricacies of probabilistic logics. We give an overview on existing measures and discuss their compliance with the rationality postulates. Finally, we discuss the relationships of inconsistency measures for probabilistic logic with Dutch books from economics.
For the entire collection see [Zbl 1411.68015].

68T27 Logic in artificial intelligence
03B48 Probability and inductive logic
03B53 Paraconsistent logics