“For unto every one that hath shall be given”. Matthew properties for incremental confirmation

Synthese 184 (1):89-100 (2012)
Abstract
Confirmation of a hypothesis by evidence can be measured by one of the so far known incremental measures of confirmation. As we show, incremental measures can be formally defined as the measures of confirmation satisfying a certain small set of basic conditions. Moreover, several kinds of incremental measure may be characterized on the basis of appropriate structural properties. In particular, we focus on the so-called Matthew properties: we introduce a family of six Matthew properties including the reverse Matthew effect; we further prove that incremental measures endowed with reverse Matthew effect are possible; finally, we shortly consider the problem of the plausibility of Matthew properties
Keywords Probability  Incremental confirmation  Matthew effect
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DOI 10.1007/s11229-009-9695-5
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References found in this work BETA
Degree of Factual Support.John G. Kemeny & Paul Oppenheim - 1952 - Philosophy of Science 19 (4):307-324.

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Towards a Grammar of Bayesian Coherentism.Michael Schippers - 2015 - Studia Logica 103 (5):955-984.
Two Impossibility Results for Measures of Corroboration.Jan Sprenger - forthcoming - British Journal for the Philosophy of Science:axw016.

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