Conditioning using conditional expectations: the Borel-Kolmogorov paradox

DOI10.1007/s11229-016-1070-8zbMath1390.60005OpenAlexW1900523596WikidataQ59614141 ScholiaQ59614141MaRDI QIDQ1708813

Miklós Rédei, Zalán Gyenis, Gábor Hofer-Szabó

Publication date: 27 March 2018

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-016-1070-8

zbMATH Keywords

interpretation of probabilityconditionalizationBorel-Kolmogorov paradox

Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05)

Related Items (7)

Jeffrey meets Kolmogorov. A general theory of conditioning ⋮ A DUTCH BOOK THEOREM AND CONVERSE DUTCH BOOK THEOREM FOR KOLMOGOROV CONDITIONALIZATION ⋮ KOLMOGOROV CONDITIONALIZERS CAN BE DUTCH BOOKED (IF AND ONLY IF THEY ARE EVIDENTIALLY UNCERTAIN) ⋮ The maxim of probabilism, with special regard to Reichenbach ⋮ GENERAL PROPERTIES OF BAYESIAN LEARNING AS STATISTICAL INFERENCE DETERMINED BY CONDITIONAL EXPECTATIONS ⋮ Having a look at the Bayes blind spot ⋮ A NEW ARGUMENT FOR KOLOMOGOROV CONDITIONALIZATION

Uses Software

• Mathematica

Cites Work

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• You can't always get what you want some considerations regarding conditional probabilities
• Finite additivity, another lottery paradox and conditionalisation
• Some epistemological ramifications of the Borel-Kolmogorov paradox
• Conditional probability in the light of qualitative belief change
• The role of axioms in mathematics
• Paradoxes in conditional probability
• A method for generating uniformly distributed points on \(N\)-dimensional spheres
• On methods for generating uniform random points on the surface of a sphere
• Rational belief change, Popper functions and counterfactuals
• Representational of conditional probabilities
• What conditional probability could not be
• Improper regular conditional distributions
• Defusing Bertrand’s Paradox
• Statistical inference in non-commutative probability
• On a new axiomatic theory of probability
• A note on a method for generating points uniformly on n -dimensional spheres
• A First Look at Rigorous Probability Theory
• On the Uniqueness of Lebesgue and Borel Measures
• Probability Theory
• GENERAL PROPERTIES OF BAYESIAN LEARNING AS STATISTICAL INFERENCE DETERMINED BY CONDITIONAL EXPECTATIONS
• The Development of Rigor in Mathematical Probability (1900-1950)
• Choosing a Point from the Surface of a Sphere
• Principles of harmonic analysis

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