Abstract : 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 beliefs of both types simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem by Dietrich and List. The nature, relevance, and implications of the tension are explained and assessed.
https://halshs.archives-ouvertes.fr/halshs-03615028 Contributor : Franz DietrichConnect in order to contact the contributor Submitted on : Wednesday, March 23, 2022 - 6:10:42 PM Last modification on : Monday, May 9, 2022 - 10:26:05 AM Long-term archiving on: : Friday, June 24, 2022 - 7:55:37 PM