A Note on Binary Inductive Logic

Journal of Philosophical Logic 36 (6):735-771 (2007)
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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.

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Jeffrey Paris
University of Manchester

References found in this work

Fact, Fiction, and Forecast.Nelson Goodman - 1965 - Cambridge, Mass.: Harvard University Press.
Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The continuum of inductive methods.Rudolf Carnap - 1952 - [Chicago]: University of Chicago Press.
Principles of Mathematics.Bertrand Russell - 1937 - New York,: Routledge.

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