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Philosophical Foundations of Probabilities

Pierre Dangauthier 1
1 E-MOTION - Geometry and Probability for Motion and Action
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes
Abstract : This document presents some views on the semantic of the probability notion. It's mainly a summary of different readings, in particular of a Stanford Encyclopaedia of Philosophy article. Probabilities are daily used in real world application, often without a clear understanding of their mathematical foundation and of the meaning we attach to them. This lack of understanding often leads to bad interpretations of statistical/probabilistic procedures (e.g. p-values of tests), and is an obstacle for research. Nowadays there is a debate opposing frequentists to bayesians, but we'll see that the problem of interpreting probabilities is broader, even if we'll present some strong clues in favour of bayesianism.
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https://hal.inria.fr/inria-00102049
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, September 29, 2006 - 9:38:39 AM
Last modification on : Monday, December 28, 2020 - 3:44:02 PM
Long-term archiving on: : Monday, September 20, 2010 - 5:04:25 PM

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  • HAL Id : inria-00102049, version 2

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Pierre Dangauthier. Philosophical Foundations of Probabilities. [Research Report] RR-5988, INRIA. 2006, pp.14. ⟨inria-00102049v2⟩

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