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New axioms for probability and likelihood ratio measures
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Crupi, V., Chater, Nick and Tentori, K. (2013) New axioms for probability and likelihood ratio measures. The British Journal for the Philosophy of Science, Volume 64 (Number 1). pp. 189-204. doi:10.1093/bjps/axs018 ISSN 0007-0882.
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Official URL: http://dx.doi.org/10.1093/bjps/axs018
Abstract
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Social Sciences > Warwick Business School > Behavioural Science Faculty of Social Sciences > Warwick Business School |
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Journal or Publication Title: | The British Journal for the Philosophy of Science | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 0007-0882 | ||||
Official Date: | 1 March 2013 | ||||
Dates: |
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Volume: | Volume 64 | ||||
Number: | Number 1 | ||||
Page Range: | pp. 189-204 | ||||
DOI: | 10.1093/bjps/axs018 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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