Quantifying Rational Belief

Details Quantifying Rational Belief Quantifying Rational Belief

2009-08-21

arxiv.org/abs/0908.3212v2

Physics

Data Analysis, Statistics and Probability

Presented at MaxEnt 2009, the 29th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Eng

Scientific paper

Some criticisms that have been raised against the Cox approach to probability theory are addressed. Should we use a single real number to measure a degree of rational belief? Can beliefs be compared? Are the Cox axioms obvious? Are there counterexamples to Cox? Rather than justifying Cox's choice of axioms we follow a different path and derive the sum and product rules of probability theory as the unique (up to regraduations) consistent representations of the Boolean AND and OR operations.

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