A Reduction Of The Theory Of Confirmation To The Notions Of Distance And Measure

Logic Journal of the IGPL 5 (1):49-64 (1997)
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Abstract

We present an analysis and formalization of confirmation of a theory through observation. The basic ideas are, first, to carry the results of single observations over to neighbouring cases by analogy, using an abstract distance relation as in the Stalnaker/Lewis semantics for counterfactual conditionals. A theory is then, in a second step, considered confirmed if we have thus concluded positively for a 'large' part of the universe - where 'large' is interpreted by a weak filter. Formal semantics as well as sound and complete axiomatizations for the first order and the propositional case are given

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10.1093/jigpal/5.1.49

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