How to predict consistently? / Vityaev, Evgeni; Odintsov, Sergei.
Studies in Computational Intelligence. Springer-Verlag GmbH and Co. KG, 2019. p. 35-41 (Studies in Computational Intelligence; Vol. 796).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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TY - CHAP
T1 - How to predict consistently?
AU - Vityaev, Evgeni
AU - Odintsov, Sergei
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Consistency
KW - Maximal specificity
KW - Prediction
KW - Probabilistic inference
UR - http://www.scopus.com/inward/record.url?scp=85054706604&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-00485-9_4
DO - 10.1007/978-3-030-00485-9_4
M3 - Chapter
AN - SCOPUS:85054706604
T3 - Studies in Computational Intelligence
SP - 35
EP - 41
BT - Studies in Computational Intelligence
PB - Springer-Verlag GmbH and Co. KG
ER -
ID: 25327277