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Title: Predicate exchangeability and Language Invariance in Pure Inductive Logic
Author(s): KLIEƟ, Malte , PARIS, Jeff
Journal: Logique et Analyse
Volume: 228    Date: 2014   
Pages: 513-540
DOI: 10.2143/LEA.228.0.3078173

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 φ according to this permutation should not change our belief in the truth of φ. 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.

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