Objective Bayesianism with predicate languages |
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Authors: | Jon Williamson |
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Institution: | (1) Department of Philosophy, SECL, University of Kent, Canterbury, CT2 7NF, UK |
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Abstract: | Objective Bayesian probability is often defined over rather simple domains, e.g., finite event spaces or propositional languages.
This paper investigates the extension of objective Bayesianism to first-order logical languages. It is argued that the objective
Bayesian should choose a probability function, from all those that satisfy constraints imposed by background knowledge, that
is closest to a particular frequency-induced probability function which generalises the λ = 0 function of Carnap’s continuum
of inductive methods. |
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Keywords: | Bayesianism Objective Bayesianism Bayesian epistemology Formal epistemology Inductive logic Probabilistic logic |
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