The Principle of Redundant Reflection
Methodology
2025-09-19 v3 Other Statistics
Abstract
The fact that redundant information does not update a rational belief implies that rational beliefs are updated using Bayes rule. In the framework of Hild (1998a), this is true under mild conditions for discrete, continuous, and arbitrary measure spaces. We prove this result and illustrate it with two examples.
Cite
@article{arxiv.2503.21719,
title = {The Principle of Redundant Reflection},
author = {Martin Metodiev and Maarten Marsman and Lourens Waldorp and Quentin F. Gronau and Eric-Jan Wagenmakers},
journal= {arXiv preprint arXiv:2503.21719},
year = {2025}
}
Comments
11 pages, 0 figures