Representation Theorems for Probability Functions Satisfying Spectrum Exchangeability in Inductive Logic

Landes, Jürgen; Paris, Jeff B. and Vencovská, Alena (2009): Representation Theorems for Probability Functions Satisfying Spectrum Exchangeability in Inductive Logic. In: International Journal of Approximate Reasoning, Vol. 51, No. 1: 35 - 55

Abstract

We prove de Finetti style representation theorems covering the class of all probability functions satisfying spectrum exchangeability in polyadic inductive logic and give an application by characterizing those probability functions satisfying spectrum exchangeability which can be extended to a language with equality whilst still satisfying that property.

• Item Type: Journal article
• Keywords: Uncertain reasoning; Inductive logic; Probability logic; Spectrum exchangeability; de Finetti’s theorem; Equality
• Faculties: Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP); Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Logic; Philosophy, Philosophy of Science and Religious Science > Munich Center for Mathematical Philosophy (MCMP) > Epistemology
• Subjects: 100 Philosophy and Psychology > 120 Epistemology; 100 Philosophy and Psychology > 160 Logic
• ISSN: 0888-613X
• Language: English