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A Note on Binary Inductive Logic
Authors:C J Nix  J B Paris
Institution:(1) School of Mathematics, University of Manchester, Manchester, M13 9PL, UK
Abstract: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.
Keywords:exchangeability  inductive logic  probability logic  uncertain reasoning
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