Wallmann, Christian, Kleiter, Gernot (2014) Degradation in Probability Logic : When more Information Leads to Less Precise Conclusions. Kybernetika, 50 (2). pp. 268-283. ISSN 0023-5954. (doi:10.14736/kyb-2014-2-0268) (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)

 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 URLhttp://doi.org/10.14736/kyb-2014-2-0268

## Abstract

Probability logic studies the properties resulting from the probabilistic interpretation of logical argument forms. Typical examples are probabilistic Modus Ponens and Modus Tollens. Argument forms with two premises usually lead from precise probabilities of the premises to imprecise or interval probabilities of the conclusion. In the contribution, we study generalized inference forms having three or more premises. Recently, Gilio has shown that these generalized forms degrade'' -- more premises lead to more imprecise conclusions, i. e., to wider intervals. We distinguish different forms of degradation. We analyse Predictive Inference, Modus Ponens, Bayes' Theorem, and Modus Tollens. Special attention is devoted to the case where the conditioning events have zero probabilities. Finally, we discuss the relation of degradation to monotonicity.

Item Type: Article 10.14736/kyb-2014-2-0268 probability logic, generalized inference forms, degradation, total evidence, coherence, probabilistic Modus Tollens B Philosophy. Psychology. Religion > B Philosophy (General)B Philosophy. Psychology. Religion > BC Logic Faculties > Humanities > School of European Culture and Languages > Philosophy Fiona Godfrey 29 Jul 2015 15:34 UTC 29 May 2019 14:57 UTC https://kar.kent.ac.uk/id/eprint/49891 (The current URI for this page, for reference purposes)