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Jon Williamson Philosophies of probability incollection This chapter presents an overview of the major interpretations of prob-ability followed by an outline of the objective Bayesian interpretation and a discussion of the key challenges it faces. I discuss the ramifications of in-terpretations of probability and objective Bayesianism for the philosophy of mathematics in general.

Philosophies of probability

Jon Williamson

In A. Irvine (ed.) Philosophy of Mathematics, Amsterdam, 2009, pp. 493–533

Abstract

This chapter presents an overview of the major interpretations of prob-ability followed by an outline of the objective Bayesian interpretation and a discussion of the key challenges it faces. I discuss the ramifications of in-terpretations of probability and objective Bayesianism for the philosophy of mathematics in general.

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