A characterization of the Language Invariant families satisfying Spectrum Exchangeability in Polyadic Inductive Logic

Landes, Jürgen; Paris, Jeff B. and Vencovská, Alena (2010): A characterization of the Language Invariant families satisfying Spectrum Exchangeability in Polyadic Inductive Logic. In: Annals of Pure and Applied Logic, Vol. 161, No. 6: 800 - 811

Abstract

A necessary and sufficient condition in terms of a de Finetti style representation is given for a probability function in Polyadic Inductive Logic to satisfy being part of a Language Invariant family satisfying Spectrum Exchangeability. This theorem is then considered in relation to the unary Carnap and Nix–Paris Continua.

• Item Type: Journal article
• Keywords: Uncertain Reasoning; Inductive Logic; Probability Logic; Spectrum Exchangeability; Language Invariance
• 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
• Subjects: 100 Philosophy and Psychology > 100 Philosophy; 100 Philosophy and Psychology > 160 Logic
• ISSN: 0168-0072
• Annotation: The Proceedings of the IPM 2007 Logic Conference
• Language: English