Formal epistemology

Aggregating Belief Models

This paper has two goals. The first goal is to say something about how one might combine different agents' imprecise probabilities to generate an aggregate imprecise probability. The second goal is to champion the very general theory of "belief …

A Counterexample to Three Imprecise Decision Theories

There is currently much discussion about how decision making should proceed when an agent's degrees of belief are imprecise; represented by a set of probability functions. I show that decision rules recently discussed by Sarah Moss, Susanna Rinard …

Imprecise Probability Models of Rational Belief

This project explores Imprecise probabilities as a model for rational belief.

Belief Models: a very general theory of aggregation

This paper has two goals. The first goal is to say some thing about how one might combine different agents' imprecise probabilities to generate an aggregate imprecise probability. The second goal is to champion the very general theory of "belief …

Belief Models: a very general theory of aggregation

This paper has two goals. The first goal is to say some thing about how one might combine different agents' imprecise probabilities to generate an aggregate imprecise probability. The second goal is to champion the very general theory of "belief …

Belief Models, Aggregation and Impossibility

This paper has two goals. The first goal is to say some thing about how one might combine different agents' imprecise probabilities to generate an aggregate imprecise probability. The second goal is to champion the very general theory of "belief …

Belief Models: a very general theory of aggregation

This paper has two goals. The first goal is to say some thing about how one might combine different agents' imprecise probabilities to generate an aggregate imprecise probability. The second goal is to champion the very general theory of "belief …

Nonclassical probability and convex hulls

It is well known that the convex hull of the classical truth value functions contains all and only the probability functions. Work by Paris and Williams has shown that this also holds for various kinds of nonclassical logics too. This note summarises …

Imprecise Probabilities

It has been argued that imprecise probabilities are a natural and intuitive way of overcoming some of the issues with orthodox precise probabilities. Models of this type have a long pedigree, and interest in such models has been growing in recent …

Can free evidence be bad?: Value of information for the imprecise probabilist

This paper considers a puzzling conflict between two positions that are each compelling: (A) it is irrational for an agent to pay to avoid 'free' evidence before making a decision, and (B) rational agents may have *imprecise* beliefs and/or desires. …