I shall assume that the aim of an explication of «valid induction» is to find a numerical or comparative function c (h, e)-- the «confirmation of hypothesis h given evidence e» — which is a syntactic function of the statements h and e, and which has a high or comparatively high
value in those cases where
normally accepted or intuitive inductive methods would direct us to
accept hypothesis h on evidence e, at least in comparison with other hypotheses having lower c -
value.
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