Journal of Logic, Language and Information

, Volume 21, Issue 2, pp 189-216

First online:

Symmetry in Polyadic Inductive Logic

  • J. B. ParisAffiliated withSchool of Mathematics, University of Manchester Email author 
  • , A. VencovskáAffiliated withSchool of Mathematics, University of Manchester

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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.


Symmetry Inductive logic Probability logic Spectrum exchangeability Rationality