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How to predict consistently? Full article

Journal Studies in Computational Intelligence
ISSN: 1860-949X , E-ISSN: 1860-9503
Output data Year: 2019, Volume: 796, Pages: 35-41 Pages count : 7 DOI: 10.1007/978-3-030-00485-9_4
Tags Consistency; Maximal specificity; Prediction; Probabilistic inference
Authors Vityaev E. 1 , Odintsov S. 1
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

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.
Cite: Vityaev E. , Odintsov S.
How to predict consistently?
Studies in Computational Intelligence. 2019. V.796. P.35-41. DOI: 10.1007/978-3-030-00485-9_4 Scopus OpenAlex
Identifiers:
Scopus: 2-s2.0-85054706604
OpenAlex: W2897666907
Citing:
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Scopus 5
OpenAlex 5
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