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Symmetry in Polyadic Inductive Logic

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Abstract

A family of symmetries of polyadic inductive logic are described which in turn give rise to the purportedly rational Permutation Invariance Principle stating that a rational assignment of probabilities should respect these symmetries. An equivalent, and more practical, version of this principle is then derived.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Manchester, M13 9PL, UK

    J. B. Paris & A. Vencovská

Authors
  1. J. B. Paris
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  2. A. Vencovská
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Correspondence to J. B. Paris.

Additional information

Supported by a UK Engineering and Physical Sciences Research Council (EPSRC) Research Assistantship.

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Paris, J.B., Vencovská, A. Symmetry in Polyadic Inductive Logic. J of Log Lang and Inf 21, 189–216 (2012). https://doi.org/10.1007/s10849-011-9143-z

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  • DOI: https://doi.org/10.1007/s10849-011-9143-z

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