Learning and Pooling, Pooling and Learning

Stewart, Rush T.; Quintana, Ignacio Ojea (2018): Learning and Pooling, Pooling and Learning. In: Erkenntnis, Vol. 83: pp. 369-389

Abstract

We explore which types of probabilistic updating commute with convex IP pooling (Stewart and Ojea Quintana 2017). Positive results are stated for Bayesian conditionalization (and a mild generalization of it), imaging, and a certain parameterization of Jeffrey conditioning. This last observation is obtained with the help of a slight generalization of a characterization of (precise) externally Bayesian pooling operators due to Wagner (Log J IGPL 18(2):336--345, 2009). These results strengthen the case that pooling should go by imprecise probabilities since no precise pooling method is as versatile.

• Item Type: Journal article
• Form of publication: Preprint
• Faculties: Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP); Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Philosophy of Mathematics
• Subjects: 100 Philosophy and Psychology > 100 Philosophy
• ISSN: 0165-0106
• Annotation: FIrst published online 05 June 2017
• Language: English