# Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Kliess, M.S. and Paris, J.B. (2014) Predicate Exchangeability and Language Invariance in Pure Inductive Logic. Logique et Analyse, 228. pp. 413-540.

## Abstract

In Pure Inductive Logic, the rational principle of Predicate Exchangeability states that permuting the predicates in a given language $L$ and replacing each occurrence of a predicate in an $L$-sentence $\phi$ according to this permutation should not change our belief in the truth of $\phi$. In this paper we study when a prior probability function $w$ on a purely unary language $L$ satisfying Predicate Exchangeability also satisfies the principle of Unary Language Invariance.

Item Type: Article Predicate Exchangeability, Language Invariance, Inductive Logic, Probability Logic, Uncertain Reasoning MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundationsMSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes Professor Jeff Paris 04 Aug 2015 20 Oct 2017 14:13 http://eprints.maths.manchester.ac.uk/id/eprint/2357