Objective Bayesian probabilistic logic

Williamson, Jon (2008) Objective Bayesian probabilistic logic. Journal of Algorithms, 63 (4). pp. 167-183. ISSN 0196-6774 . (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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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: 02 Jun 2014 08:25
Resource URI: https://kar.kent.ac.uk/id/eprint/20878 (The current URI for this page, for reference purposes)
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