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Putting Logic in its Place$
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David Christensen

Print publication date: 2004

Print ISBN-13: 9780199263257

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0199263256.001.0001

Logic, Graded Belief, and Preferences

Chapter:
(p. 106 ) 5 Logic, Graded Belief, and Preferences
Source:
Putting Logic in its Place
Author(s):

David Christensen

Publisher:
Oxford University Press
DOI:10.1093/0199263256.003.0005

Defends probabilistic coherence as a logical constraint on graded belief. Standard Dutch Book and Representation Theorem arguments seek to defend coherence by positing very tight—even definitional—connections between graded beliefs and preferences, which are not clearly within the epistemic domain; thus they seem to change the subject away from epistemology proper. Argues that defining graded belief in terms of preferences requires an insupportable metaphysics of belief. Nevertheless, the arguments can be ’depragmatized’—reworked in a way that employs intuitively plausible normative principles connecting preference with beliefs, eliminating the need for positing implausible metaphysical or definitional connections. Thus, probabilistic coherence can be defended without making beliefs into something they are not.

Keywords:   degrees of belief, depragmatized, Dutch Book, graded belief, preferences, probabilistic coherence, Representation Theorem

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