Accuracy and the Laws of Credence
Richard Pettigrew
Abstract
This book explores a particular way of justifying the rational principles that govern credences (or degrees of belief). The main principles that the book justifies are the central tenets of Bayesian epistemology, though many other related principles are met along the way. These are: Probabilism, the claims that credences should obey the laws of probability; the Principal Principle, which says how credences in hypotheses about the objective chances should relate to credences in other propositions; the Principle of Indifference, which says that, in the absence of evidence, credences should be di ... More
This book explores a particular way of justifying the rational principles that govern credences (or degrees of belief). The main principles that the book justifies are the central tenets of Bayesian epistemology, though many other related principles are met along the way. These are: Probabilism, the claims that credences should obey the laws of probability; the Principal Principle, which says how credences in hypotheses about the objective chances should relate to credences in other propositions; the Principle of Indifference, which says that, in the absence of evidence, credences should be distributed equally over all possibilities that are entertained; and Conditionalization, the Bayesian account of how responses are planned when new evidence is received. Ultimately, then, the book is a study in the foundations of Bayesianism. To justify these principles, the book looks to decision theory. An agent’s credences are treated as if they were a choice she makes. The book appeals to the principles of decision theory to show that, when epistemic utility is measured in this way, the credences that violate the principles listed above are ruled out as irrational. The account of epistemic utility given is the veritist’s: the sole fundamental source of epistemic utility for credences is their accuracy. Thus, this is an investigation of the version of epistemic utility theory known as accuracy-first epistemology.
Keywords:
Epistemology,
probability,
Bayesian epistemology,
veritism,
accuracy,
Principle of Indifference,
Principal Principle,
chance,
scoring rules,
Conditionalization
Bibliographic Information
Print publication date: 2016 |
Print ISBN-13: 9780198732716 |
Published to Oxford Scholarship Online: May 2016 |
DOI:10.1093/acprof:oso/9780198732716.001.0001 |