Putting Logic in its Place
Formal Constraints on Rational Belief
Christensen, David Department of Philosophy, University of Vermont
Print publication date: 2004 (this edition)
Published to Oxford Scholarship Online: July 2005
Print ISBN-13: 978-0-19-926325-7
doi:10.1093/0199263256.003.0005
David Christensen
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,
doi:10.1093/0199263256.003.0005
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