Further results on inquiry and truth possession
\textit{A.I. Goldman} and \textit{M. Shaked} [ibid. 12, No. 5, 415-420 (1991; Zbl 0742.62108)] have shown that for all reciprocally convex measures of truth possession experiments are always ``objectively'' expected to increase a scientist's degree of truth possession. The authors show that this result is optimal. Further, they argue that all scientifically acceptable measures of truth possession are proper scoring rules. However, no bounded proper scoring rules are reciprocally convex. Thus, they establish that, for many scientifically acceptable measures of truth possession, experiments are only ``subjectively'' expected to increase a scientist's degree of truth possession.
scientific article; zbMATH DE number 1906993