Degradation in probability logic: when more information leads to less precise conclusions

Title:

Degradation in probability logic: when more information leads to less precise conclusions

Creator:

Wallmann, Christian and Kleiter, Gernot D.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:78eddf2b-c907-479d-b8b9-3f3f055dcdbc
uuid:78eddf2b-c907-479d-b8b9-3f3f055dcdbc

Subject:

probability logic, generalized inference forms, degradation, total evidence, coherence, and probabilistic ModusTollens

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[268]-283

Source:

Kybernetika | 2014 Volume:50 | Number:2

Harvested from:

CDK

Metadata only:

false