MoL-2013-08: A Demand of Reason: Dependence in Logic and Probability

MoL-2013-08: Forde, Nathaniel (2013) A Demand of Reason: Dependence in Logic and Probability. [Report]

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Abstract

In this thesis we shall argue on two levels (i) we shall elaborate and criticise the traditional models of formal epistemology (i.e. the standard Bayesian and Hintikka-style possible world models) and (ii) we shall show that there is a theory of explanation which incorporates the influence of both formal epistemology and formal ontology. In particular we shall develop an account of explanation based on the explicit logics of dependency relations (e.g. Kit Fine’s logic of grounding and Pearl and Halpern’s logic of causal dependence) and the differing species of justification logic (a la Sergei Artemov) which are defined in terms of each such dependency relation. The incorporation of this plurality of justification logics in formal epistemology allows us to deal with some of the problems afflicting the traditional models of formal epistemology, and construct a theory of explanation which directly encodes the relevance of the explanans to the explanandum. Finally, this theory of explanation is opposed to van Fraassen’s account explanation and defended as both superior and complementary, thereby motivating further work at the intersection of formal epistemology and formal ontology.

Item Type: Report
Report Nr: MoL-2013-08
Series Name: Master of Logic Thesis (MoL) Series
Year: 2013
Uncontrolled Keywords: Logic; Language
Date Deposited: 12 Oct 2016 14:38
Last Modified: 12 Oct 2016 14:38
URI: https://eprints.illc.uva.nl/id/eprint/897

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