Logical perspectives on the foundations of probability

Author:

Hosni Hykel1,Landes Jürgen1

Affiliation:

1. Department of Philosophy “Piero Martinetti”, University of Milan , Milan , Italy

Abstract

Abstract We illustrate how a variety of logical methods and techniques provide useful, though currently underappreciated, tools in the foundations and applications of reasoning under uncertainty. The field is vast spanning logic, artificial intelligence, statistics, and decision theory. Rather than (hopelessly) attempting a comprehensive survey, we focus on a handful of telling examples. While most of our attention will be devoted to frameworks in which uncertainty is quantified probabilistically, we will also touch upon generalisations of probability measures of uncertainty, which have attracted a significant interest in the past few decades.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference165 articles.

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