A Bayesian Solution to the Conflict of Narrowness and Precision in Direct Inference

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3 Citations (Scopus)

Abstract

The conflict of narrowness and precision in direct inference occurs if a body of evidence contains estimates for frequencies in a certain reference class and less precise estimates for frequencies in a narrower reference class. To develop a solution to this conflict, I draw on ideas developed by Paul Thorn and John Pollock. First, I argue that Kyburg and Teng’s solution to the conflict of narrowness and precision leads to unreasonable direct inference probabilities. I then show that Thorn’s recent solution to the conflict leads to unreasonable direct inference probabilities. Based on my analysis of Thorn’s approach, I propose a natural distribution for a Bayesian analysis of the data directly obtained from studying members of the narrowest reference class.

Original languageEnglish
Pages (from-to)485-500
Number of pages16
JournalJournal for General Philosophy of Science
Volume48
Issue number3
DOIs
Publication statusPublished - 1 Sep 2017

Keywords

  • Direct inference
  • Expected frequency
  • Imprecise probabilities
  • Natural distribution
  • Reference class problem
  • Specificity
  • Statistical syllogism

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