Fundamentals Of Bayesian Epistemology 1  at Meripustak

Fundamentals Of Bayesian Epistemology 1

Books from same Author: Titelbaum Michael G

Books from same Publisher: Oxford University Press

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  • General Information  
    Author(s)Titelbaum Michael G
    PublisherOxford University Press
    ISBN9780198707615
    Pages224
    BindingSoftcover
    LanguageEnglish
    Publish YearOctober 2022

    Description

    Oxford University Press Fundamentals Of Bayesian Epistemology 1 by Titelbaum Michael G

    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.