
Contents
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3.1 Introduction 3.1 Introduction
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3.2 The probability framework 3.2 The probability framework
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3.3 What are credences? 3.3 What are credences?
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3.4 The credence framework 3.4 The credence framework
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3.5 Arguments for the probability axioms 3.5 Arguments for the probability axioms
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3.6 Other rules of rationality 3.6 Other rules of rationality
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3.7 Chapter summary 3.7 Chapter summary
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Cite
Abstract
This chapter introduces the credence framework. It begins with a description of the probability framework, introducing states, events, algebras, and probability functions. The probability axioms are defined and some of their implications explored. The question of how to interpret the probability framework is addressed, with a focus on interpreting probabilities as credences. This is followed by a discussion of the nature of credences and their relation to betting and choice behaviour more generally. Various further questions and details are addressed, including the problem of logical omniscience; the question of whether the credence framework is designed to apply to real or ideally rational agents; and whether it is supposed to be a description or a model. Various arguments for probabilism (dutch-book arguments, accuracy arguments, and the representation theorem) are set out, and some problems with these are briefly raised. Finally, some other rules for rationality are discussed, including conditionalization, the Principal Principle, and the Reflection Principle.
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