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- handle: 10670/1.bjh9yv
- halshs: halshs-03500542
info:eu-repo/semantics/OpenAccess
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general impossibility theorem lottery paradox yes/no belief vs subjective probabilities logic vs rational choice theory D - Microeconomics/D.D8 - Information, Knowledge, and Uncertainty/D.D8.D80 - General D - Microeconomics/D.D8 - Information, Knowledge, and Uncertainty/D.D8.D83 - Search • Learning • Information and Knowledge • Communication • Belief • UnawarenessSujets proches
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Franz Dietrich, « Categorical versus graded beliefs », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.bjh9yv
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This essay discusses the difficulty to reconcile two paradigms about beliefs: the binary or categorical paradigm of yes/no beliefs and the probabilistic paradigm of degrees of belief. The possibility for someone to hold both types of belief simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem. The nature, relevance, and implications of the tension are explained and assessed. A more technical elaboration can be found in Dietrich and List (2018, 2021).