Categorical Versus Graded Beliefs

This essay discusses the difficulty to reconcile two paradigms about beliefs: the binary or categorical paradigm of houston texans shorts 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, simply boho classroom and more recently by a general impossibility theorem by Dietrich and List.The nature, relevance, and implications of the tension are explained and assessed.