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arXiv · 1305.0925

Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Malte S. Kließ·Jeff B. Paris
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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 probability function w on a purely unary language L satisfying Predicate Exchangeability also satisfies the principle of Unary Language Invariance.

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Malte S. Kließ, Jeff B. Paris. 2013-05-04. Predicate Exchangeability and Language Invariance in Pure Inductive Logic. https://arxiv.org/abs/1305.0925

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