2016/07/26 by Sergio Davis, Davis, Sergio
Decision Sciences · Physics and Astronomy · #FOS: Mathematics #Forecasting Techniques and Applications #Probability (math.PR) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1607.07890
openalex publication_date 2016/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The probability axioms by R. T. Cox can be regarded as the modern foundations of Bayesian inference, the idea of assigning degrees of belief to logical propositions in a manner consistent with Boolean logic. In this work it is shown that one can start from an alternative point of view, postulating the existence of an operation for estimating magnitudes given a state of knowledge. The properties of this operation can be established through basic consistency requirements. Application of this estimation operation to the truth values of propositions in an integer representation directly yields non-negative, normalized quantities following the sum and product rules of probability.