Objective Bayesian probabilistic logic

This paper develops connections between objective Bayesian epistemology--which holds that the strengths of an agent's beliefs should be representable by probabilities, should be calibrated with evidence of empirical probability, and should otherwise be equivocal--and probabilistic logic. After introducing objective Bayesian epistemology over propositional languages, the formalism is extended to handle predicate languages. A rather general probabilistic logic is formulated and then given a natural semantics in terms of objective Bayesian epistemology. The machinery of objective Bayesian nets and objective credal nets is introduced and this machinery is applied to provide a calculus for probabilistic logic that meshes with the objective Bayesian semantics. Contents

• Type: Journal
• Year: 2008
• Where: JAL
• Authors: Jon Williamson
• Keywords: JAL 2008, Objective Bayesian Epistemology, Objective Bayesian Nets, Probabilistic Logic