Book contents
- Lotteries, Knowledge, and Rational Belief
- Lotteries, Knowledge, and Rational Belief
- Copyright page
- Contents
- Contributors
- Introduction
- Chapter 1 Rational Belief and Statistical Evidence
- Chapter 2 Knowledge Attributions and Lottery Cases
- Chapter 3 The Psychological Dimension of the Lottery Paradox
- Chapter 4 Three Puzzles about Lotteries
- Chapter 5 Four Arguments for Denying that Lottery Beliefs Are Justified
- Chapter 6 Rethinking the Lottery Paradox
- Chapter 7 Rational Belief in Lottery- and Preface-Situations
- Chapter 8 Stability and the Lottery Paradox
- Chapter 9 The Lottery, the Preface, and Epistemic Rule Consequentialism
- Chapter 10 Beliefs, Probabilities, and Their Coherent Correspondence
- Chapter 11 The Relation between Degrees of Belief and Binary Beliefs
- Bibliography
- Index
Chapter 4 - Three Puzzles about Lotteries
Published online by Cambridge University Press: 29 January 2021
- Lotteries, Knowledge, and Rational Belief
- Lotteries, Knowledge, and Rational Belief
- Copyright page
- Contents
- Contributors
- Introduction
- Chapter 1 Rational Belief and Statistical Evidence
- Chapter 2 Knowledge Attributions and Lottery Cases
- Chapter 3 The Psychological Dimension of the Lottery Paradox
- Chapter 4 Three Puzzles about Lotteries
- Chapter 5 Four Arguments for Denying that Lottery Beliefs Are Justified
- Chapter 6 Rethinking the Lottery Paradox
- Chapter 7 Rational Belief in Lottery- and Preface-Situations
- Chapter 8 Stability and the Lottery Paradox
- Chapter 9 The Lottery, the Preface, and Epistemic Rule Consequentialism
- Chapter 10 Beliefs, Probabilities, and Their Coherent Correspondence
- Chapter 11 The Relation between Degrees of Belief and Binary Beliefs
- Bibliography
- Index
Summary
It is widely accepted that our belief-attitudes come in two kinds: so-called outright beliefs and degrees of belief. Outright beliefs are coarse-grained: I can believe something, disbelieve it, or suspend judgment about it. Degrees of belief, by contrast, are fine-grained. I can be completely certain that something is false, or completely certain that it is true, or have any degree of confidence in between those extremes. We can model those fine-grained degrees of belief using real numbers, with 0 representing the lowest possible degree of belief, and 1 the highest.1
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- Lotteries, Knowledge, and Rational BeliefEssays on the Lottery Paradox, pp. 74 - 94Publisher: Cambridge University PressPrint publication year: 2021
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