Abstract
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 scientifically acceptable measures of truth possession are proper scoring rules. However, no bounded proper scoring rules are reciprocally convex. Thus, we establish that, for many scientifically acceptable measures of truth possession, experiments are only "subjectively" expected to increase a scientist's degree of truth possession.
Original language | English (US) |
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Pages (from-to) | 169-182 |
Number of pages | 14 |
Journal | Statistics and Probability Letters |
Volume | 60 |
Issue number | 2 |
DOIs | |
State | Published - Nov 15 2002 |
Externally published | Yes |
Keywords
- Epistemic utility
- Philosophy of science
- Proper scoring rules
- Scientific experiment
- Truth acquisition
- Truth possession
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty