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  1. The Relation Between Degrees of Belief and Binary Beliefs: A General Impossibility Theorem.Franz Dietrich & Christian List - forthcoming - In Lotteries, Knowledge, and Rational Belief. Essays on the Lottery Paradox.
    Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this problem (...)
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  • The Joint Aggregation of Beliefs and Degrees of Belief.Paul D. Thorn - forthcoming - Synthese:1-21.
    The article proceeds upon the assumption that the beliefs and degrees of belief of rational agents satisfy a number of constraints, including: consistency and deductive closure for belief sets, conformity to the axioms of probability for degrees of belief, and the Lockean Thesis concerning the relationship between belief and degree of belief. Assuming that the beliefs and degrees of belief of both individuals and collectives satisfy the preceding three constraints, I discuss what further constraints may be imposed on the aggregation (...)
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  • The Normative Force of Logical and Probabilistic Reasoning in Improving Beliefs.Corina Strössner - 2019 - Theoria 85 (6):435-458.
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