Predicate exchangeability and Language Invariance in Pure Inductive Logic

Malte Kließ, Jeff Paris

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 Lsatisfying Predicate Exchangeability also satisfies the principle of Unary Language Invariance.

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