Categorical Versus Graded Beliefs

Categorical Versus Graded Beliefs

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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 bushranger awning hold beliefs of both types simultaneously is challenged by the lottery paradox, and more recently lochby venture pouch by a general impossibility theorem by Dietrich and List.The nature, relevance, and implications of the tension are explained and assessed.