Further results on inquiry and truth possession

✍ Scribed by Don Fallis; Gerrard Liddell

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 191 KB
• Volume: 60
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(02)00308-5

✦ Synopsis

Goldman and Shaked (Statist. Probab. Lett. 12 (1991) 415)

show that, for all reciprocally convex measures of truth possession, experiments are always "objectively" expected to increase a scientist's degree of truth possession. We show that this result is optimal. Further, we argue that all scientiÿcally acceptable measures of truth possession are proper scoring rules. However, no bounded proper scoring rules are reciprocally convex. Thus, we establish that, for many scientiÿcally acceptable measures of truth possession, experiments are only "subjectively" expected to increase a scientist's degree of truth possession.