Journal of Philosophical Logic

, Volume 36, Issue 6, pp 735–771 | Cite as

A Note on Binary Inductive Logic

  • C. J. Nix
  • J. B. Paris


We consider the problem of induction over languages containing binary relations and outline a way of interpreting and constructing a class of probability functions on the sentences of such a language. Some principles of inductive reasoning satisfied by these probability functions are discussed, leading in turn to a representation theorem for a more general class of probability functions satisfying these principles.

Key words

exchangeability inductive logic probability logic uncertain reasoning 


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© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.School of MathematicsUniversity of ManchesterManchesterUK

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