Dutch Book against Lewis

Article Linguistics

A graph model for probabilities of nested conditionals

Anna Wojtowicz et al.

Summary: The study focuses on computing probabilities of right-nested conditionals using graph representations of Markov chains. It extends a model for simple conditionals and provides formal yet simple descriptions of different interpretations of right-nested conditionals. The research illustrates the application of mathematical methods in analyzing philosophical issues and finding formal explications for philosophically important notions.

LINGUISTICS AND PHILOSOPHY (2022)

添加到收藏夹

Article Philosophy

An Improved Dutch Book Theorem for Conditionalization

Michael Rescorla

Summary: The researcher proves a Dutch book theorem for non-factive Conditionalization, showing that an agent who follows any credal update rule other than Conditionalization is susceptible to bets that result in certain loss. This theorem is significant for scientific and philosophical applications of Bayesian decision theory.

ERKENNTNIS (2022)

添加到收藏夹

Article Philosophy

A Stochastic Graphs Semantics for Conditionals

Krzysztof Wojtowicz et al.

Summary: The stochastic graph semantics offers a simple and direct method for evaluating the probabilities of conditionals, allowing for multiple interpretations and handling complex issues. It effectively responds to Lewis's arguments and defends important intuitions regarding the connection between the probability of a conditional and conditional probability concepts.

ERKENNTNIS (2021)

添加到收藏夹

Article Philosophy