Journal of Logic, Language and Information

, Volume 21, Issue 2, pp 189–216

Symmetry in Polyadic Inductive Logic


DOI: 10.1007/s10849-011-9143-z

Cite this article as:
Paris, J.B. & Vencovská, A. J of Log Lang and Inf (2012) 21: 189. doi:10.1007/s10849-011-9143-z


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.


SymmetryInductive logicProbability logicSpectrum exchangeabilityRationality

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.School of MathematicsUniversity of ManchesterManchesterUK