Thus far we have considered objective Bayesian probability to be defined over finite propositional languages. This chapter extends the formalism to predicate languages. As well as reaping the rewards of being able to handle richer languages, this extension ‐ also allow us to invoke objective Bayesian epistemology as a semantics for probabilistic logic in Chapter 7. The required extension to predicate languages is summarized in §5.1. Subsequent sections of this chapter are devoted to motivating and discussing this new formalism.
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