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

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## 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 |
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Uncontrolled Keywords: | Predicate Exchangeability, Language Invariance, Inductive Logic, Probability Logic, Uncertain Reasoning |

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes |

Depositing User: | Professor Jeff Paris |

Date Deposited: | 04 Aug 2015 |

Last Modified: | 20 Oct 2017 14:13 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/2357 |

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