Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Malte S. Kließ; Jeff B. Paris

Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Logic 2016-11-27 v1

Authors: Malte S. Kließ , Jeff B. 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 $\phi$ 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.

Cite

@article{arxiv.1305.0925,
  title  = {Predicate Exchangeability and Language Invariance in Pure Inductive Logic},
  author = {Malte S. Kließ and Jeff B. Paris},
  journal= {arXiv preprint arXiv:1305.0925},
  year   = {2016}
}

Comments

25 pages, submitted to the Proceedings of the 1st Reasoning Club Meeting, eds. J.P. van Bendegem, J. Murzi, University Foundation, Brussels, 2012, appearing in Logique et Analyse

Predicate Exchangeability and Language Invariance in Pure Inductive Logic

Abstract

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