Fundamentals of Bayesian Epistemology 1: Introducing Credences

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Michael G. Titelbaum (Vilas Distinguished Achievement Professor in the Department of Philosophy, University of Wisconsin-Madison)

Fundamentals of Bayesian Epistemology 1

Introducing Credences

Michael G. Titelbaum (Vilas Distinguished Achievement Professor in the Department of Philosophy, University of Wisconsin-Madison)

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English

Oxford University Press
21 July 2022

Philosophy: epistemology & theory of knowledge; Philosophy of mathematics; Philosophy of science

Bayesian ideas have recently been applied across such diverse fields as philosophy, statistics, economics, psychology, artificial intelligence, and legal theory. Fundamentals of Bayesian Epistemology examines epistemologists' use of Bayesian probability mathematics to represent degrees of belief. Michael G. Titelbaum provides an accessible introduction to the key concepts and principles of the Bayesian formalism, enabling the reader both to follow epistemological debates and to see broader implicationsVolume 1 begins by motivating the use of degrees of belief in epistemology. It then introduces, explains, and applies the five core Bayesian normative rules: Kolmogorov's three probability axioms, the Ratio Formula for conditional degrees of belief, and Conditionalization for updating attitudes over time. Finally, it discusses further normative rules (such as the Principal Principle, or indifference principles) that have been proposed to supplement or replace the core five.

Volume 2 gives arguments for the five core rules introduced in Volume 1, then considers challenges to Bayesian epistemology. It begins by detailing Bayesianism's successful applications to confirmation and decision theory. Then it describes three types of arguments for Bayesian rules, based on representation theorems, Dutch Books, and accuracy measures. Finally, it takes on objections to the Bayesian approach and alternative formalisms, including the statistical approaches of frequentism and likelihoodism.

By: Michael G. Titelbaum (Vilas Distinguished Achievement Professor in the Department of Philosophy University of Wisconsin-Madison)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 241mm, Width: 164mm, Spine: 20mm
Weight: 492g
ISBN: 9780198707608
ISBN 10: 0198707606
Pages: 218
Publication Date: 21 July 2022
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Quick Reference Preface I Our Subject 1: Beliefs and Degrees of Belief II The Bayesian Formalism 2: Probability Distributions 3: Conditional Credences 4: Updating by Conditionalization 5: Further Rational Constraints

Michael G. Titelbaum is a Vilas Distinguished Achievement Professor in the Department of Philosophy at the University of Wisconsin-Madison. After majoring in philosophy at Harvard, he had a brief career as a high school teacher. He then earned a PhD in philosophy from the University of California, Berkeley, and completed a Visiting Research Fellowship at the Australian National University. He began at UW-Madison in 2009, and was Chair of the Department of Philosophy 2019-2022.