Categorical Versus Graded Beliefs

Categorical Versus Graded Beliefs

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This essay foot leveling 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 beliefs of both types simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem by Dietrich Sunflower Seeds and List.The nature, relevance, and implications of the tension are explained and assessed.