Article ID Journal Published Year Pages File Type
4663085 Journal of Applied Logic 2008 16 Pages PDF
Abstract
We show several representation theorems for explanatory reasoning based on cumulative models. An explanatory process is given by a binary relation ▷ between formulas in a propositional language where the intended meaning of α▷γ is “γ is a preferred explanation of α”. To each cumulative model E (a variation of those studied by Kraus, Lehmann and Magidor) is associated an explanatory relation ▷E. We show results of the following type: An explanatory relation ▷ satisfies certain logical postulates iff it coincides with ▷E for some cumulative model E of the appropriate type.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Logic
Authors
, ,