How to predict consistently?

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

2 Citations (Scopus)

Abstract

One of reasons for arising the statistical ambiguity is using in the course of reasoning laws which have probabilistic, but not logical justification. Carl Hempel supposed that one can avoid the statistical ambiguity if we will use in the probabilistic reasoning maximal specific probabilistic laws. In the present work we deal with laws of the form φ⇒ ψ, where φ and ψ are arbitrary propositional formulas. Given a probability on the set of formulas we define the notion of a maximal specific probabilistic law. Further, we define a prediction operator as an inference with the help of maximal specific laws and prove that applying the prediction operator to some consistent set of formulas we obtain a consistent set of consequences.

Original languageEnglish
Title of host publicationStudies in Computational Intelligence
PublisherSpringer-Verlag GmbH and Co. KG
Pages35-41
Number of pages7
DOIs
Publication statusPublished - 2019
Externally publishedYes

Publication series

NameStudies in Computational Intelligence
Volume796
ISSN (Print)1860-949X

Keywords

  • Consistency
  • Maximal specificity
  • Prediction
  • Probabilistic inference

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