Quantifying Rational Belief
Data Analysis, Statistics and Probability
2015-05-14 v2 Artificial Intelligence
Abstract
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.
Keywords
Cite
@article{arxiv.0908.3212,
title = {Quantifying Rational Belief},
author = {Ariel Caticha},
journal= {arXiv preprint arXiv:0908.3212},
year = {2015}
}
Comments
Presented at MaxEnt 2009, the 29th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (July 5-10, 2009, Oxford, Mississippi, USA.) In version 2 one mistake and a few typos have been corrected