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Problems of Precision in Fuzzy Theories of Vagueness and Bayesian Epistemology

In Richard Dietz (ed.), Vagueness and Rationality in Language Use and Cognition. Springer Verlag. pp. 31-48 (2019)

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  1. Vagueness by numbers.Rosanna Keefe - 1998 - Mind 107 (427):565-579.
    Degree theories of vagueness build on the observation that vague predicates such as 'tall' and 'red' come in degrees. They employ an infinite-valued logic, where the truth values correspond to degrees of truth and are typically represented by the real numbers in the interval [0,1]. In this paper, the success with which the numerical assignments of such theories can capture the phenomenon of vagueness is assessed by drawing an analogy with the measurement of various physical quantities using real numbers. I (...)
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  • A defense of imprecise credences in inference and decision making1.James M. Joyce - 2010 - Philosophical Perspectives 24 (1):281-323.
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  • Theory of Probability: A Critical Introductory Treatment.Bruno de Finetti - 1979 - Wiley.
    First issued in translation as a two-volume work in 1975, this classic book provides the first complete development of the theory of probability from a subjectivist viewpoint. It proceeds from a detailed discussion of the philosophical mathematical aspects to a detailed mathematical treatment of probability and statistics. De Finettiā€™s theory of probability is one of the foundations of Bayesian theory. De Finetti stated that probability is nothing but a subjective analysis of the likelihood that something will happen and that that (...)
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