Symmetry in Polyadic Inductive Logic

Jeffrey Paris
University of Manchester
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
Keywords Symmetry  Inductive logic  Probability logic  Spectrum exchangeability  Rationality
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DOI 10.1007/s10849-011-9143-z
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Logical Foundations of Probability.Rudolf Carnap - 1950 - Chicago]University of Chicago Press.
A Note on Binary Inductive Logic.C. J. Nix & J. B. Paris - 2007 - Journal of Philosophical Logic 36 (6):735-771.

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