Williamson, J. (2008) Objective Bayesian probabilistic logic. Journal of Algorithms, 63 (4). pp. 167-183. ISSN 0196-6774 .
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| Official URL http://dx.doi.org/10.1016/j.jalgor.2008.07.001 |
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Objective Bayesianism; Maximum entropy; Maxent; Probabilistic logic; Probability logic; Bayesian network; Bayesian net; Credal network; Credal net |
| Subjects: | B Philosophy. Psychology. Religion > B Philosophy (General) B Philosophy. Psychology. Religion > BC Logic |
| Divisions: | Faculties > Humanities > School of European Culture and Languages |
| Depositing User: | Jon Williamson |
| Date Deposited: | 21 Jul 2009 10:13 |
| Last Modified: | 20 Jan 2012 15:04 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/20878 (The current URI for this page, for reference purposes) |
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