Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Logique Et Analyse 57 (228):513-540 (2014)
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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.

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Jeffrey Paris
University of Manchester

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