Respecting evidence: belief functions not imprecise probabilities.

The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot cmake room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have...

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Publicado en:Synthese Vol. 200; no. 6; pp. 1 - 29
Autor principal: Smith, Nicholas J. J.
Formato: Artículo
Publicado: Springer Nature Dec2022
Acceso en línea:Ver este registro en EBSCOhost
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        au: Smith, Nicholas J. J.
        affil: Philosophy, The University of Sydney, Main Quadrangle A14, 2006, Sydney, NSW, Australia
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      keyword:
        Belief inertia
        Degree of belief
        Dempster–Shafer belief function
        Dilation
        Evidence
        Imprecise probability
        Probability
      ab: The received model of degrees of belief represents them as probabilities. Over the last half century, many philosophers have been convinced that this model fails because it cannot cmake room for the idea that an agent’s degrees of belief should respect the available evidence. In its place they have advocated a model that represents degrees of belief using imprecise probabilities (sets of probability functions). This paper presents a model of degrees of belief based on Dempster–Shafer belief functions and then presents arguments for belief functions over imprecise probabilities as a model of evidence-respecting degrees of belief. The arguments cover three kinds of issue: theoretical virtues (simplicity, interpretability and flexibility); motivations; and problem cases (dilation and belief inertia).
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    language: English
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