The strength of de Finetti's coherence theorem

DOI10.1007/s11229-020-02825-7zbMath1525.60004OpenAlexW3048652354MaRDI QIDQ6067008

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Publication date: 14 December 2023

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-020-02825-7

zbMATH Keywords

Hahn-Banach theoremcoherencesubjective probabilitynon-measurable setsde Finettifoundations of probabilityfinite and countable additivity

Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05)

Cites Work

• Finitely additive equivalent martingale measures
• Notes on conditional previsions
• On finitely additive priors, coherence, and extended admissibility
• The Hahn-Banach theorem: The life and times
• What conditional probability could not be
• Regular probability comparisons imply the Banach-Tarski paradox
• Uniform distributions on the natural numbers
• Fair infinite lotteries
• A model of set-theory in which every set of reals is Lebesgue measurable
• Underdetermination of infinitesimal probabilities
• De Finetti, Countable Additivity, Consistency and Coherence
• The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set
• The Hahn-Banach theorem implies the Banach-Tarski paradox
• Introduction to Imprecise Probabilities
• Bayes' Method for Bookies
• On a Theorem of De Finetti, Oddsmaking, and Game Theory
• Independence of the prime ideal theorem from the Hahn Banach theorem
• Axiom of choice
• The axiom of choice
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