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The Stability of Belief - How Rational Belief Coheres with Probability (Hardcover)
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The Stability of Belief - How Rational Belief Coheres with Probability (Hardcover)
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In everyday life we normally express our beliefs in all-or-nothing
terms: I believe it is going to rain; I don't believe that my
lottery ticket will win. In other cases, if possible, we resort to
numerical probabilities: my degree of belief that it is going to
rain is 80%; the probability that I assign to my ticket winning is
one in a million. It is an open philosophical question how
all-or-nothing belief and numerical belief relate to each other,
and how we ought to reason with them simultaneously. The Stability
of Belief develops a theory of rational belief that aims to answer
this question. Hannes Leitgeb develops a joint normative theory of
all-or-nothing belief and numerical degrees of belief. While
rational all-or-nothing belief is studied in traditional
epistemology and is usually assumed to obey logical norms, rational
degrees of belief constitute the subject matter of Bayesian
epistemology and are normally taken to conform to probabilistic
norms. One of the central open questions in formal epistemology is
what beliefs and degrees of belief have to be like in order for
them to cohere with each other. The answer defended in this book is
a stability account of belief: a rational agent believes a
proposition just in case the agent assigns a stably high degree of
belief to it. Leitgeb determines this theory's consequences for,
and applications to, learning, suppositional reasoning,
decision-making, assertion, acceptance, conditionals, and chance.
The volume builds new bridges between logic and probability theory,
traditional and formal epistemology, theoretical and practical
rationality, and synchronic and diachronic norms for reasoning.
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