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Probability Propagation in Generalized Inference Forms

Wallmann, Christian, Kleiter, Gernot (2014) Probability Propagation in Generalized Inference Forms. Studia Logica, 102 (4). pp. 913-929. ISSN 0039-3215. E-ISSN 1572-8730. (doi:10.1007/s11225-013-9513-4) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:49892)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://doi.org/10.1007/s11225-013-9513-4

Abstract

Probabilistic inference forms lead from point probabilities of the premises to interval probabilities of the conclusion. The probabilistic version of Modus Ponens, for example, licenses the inference from P(A)=? and P(B|A)=? to P(B)?[??,??+1??] . We study generalized inference forms with three or more premises. The generalized Modus Ponens, for example, leads from P(A1)=?1,…,P(An)=?n and P(B|A1???An)=? to an according interval for P(B). We present the probability intervals for the conclusions of the generalized versions of Cut, Cautious Monotonicity, Modus Tollens, Bayes’ Theorem, and some SYSTEM O rules. Recently, Gilio has shown that generalized inference forms “degrade”—more premises lead to less precise conclusions, i.e., to wider probability intervals of the conclusion. We also study Adam’s probability preservation properties in generalized inference forms. Special attention is devoted to zero probabilities of the conditioning events. These zero probabilities often lead to different intervals in the coherence and the Kolmogorov approach.

Item Type: Article
DOI/Identification number: 10.1007/s11225-013-9513-4
Uncontrolled keywords: Probability logic, generalized inference forms, degradation, probability preservation, coherence
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Divisions: Faculties > Humanities > School of European Culture and Languages > Philosophy
Depositing User: Fiona Symes
Date Deposited: 29 Jul 2015 15:37 UTC
Last Modified: 29 May 2019 14:57 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/49892 (The current URI for this page, for reference purposes)
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