Probability ratio and likelihood ratio measures of inductive support and related notions have appeared as theoretical tools for probabilistic approaches in the philosophy of science, the psychology of reasoning, and artificial intelligence. In an effort of conceptual clarification, several authors have pursued axiomatic foundations for these two families of measures. Such results have been criticized, however, as relying on unduly demanding or poorly motivated mathematical assumptions. We provide two novel theorems showing that probability ratio and likelihood ratio measures can be axiomatized in a way that overcomes these difficulties.
Titolo: | New axioms for probability and likelihood ratio measures. |
Autori: | Crupi, Vincenzo; N., Chater; Tentori, Katya |
Autori Unitn: | |
Titolo del periodico: | BRITISH JOURNAL FOR THE PHILOSOPHY OF SCIENCE |
Anno di pubblicazione: | 2013 |
Numero e parte del fascicolo: | 1 |
Codice identificativo Scopus: | 2-s2.0-84873391447 |
Codice identificativo ISI: | WOS:000314713200009 |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1093/bjps/axs018 |
Handle: | http://hdl.handle.net/11572/89605 |
Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |