Conditional Probability formula as a consequence of the Insufficient Reason Principle
Probability
2025-07-14 v1 Information Theory
math.IT
Abstract
The standard conditional probability definition formula is derived as a consequence of the Insufficient Reason Principle expressed as the Maximum Relative Divergence Principle for grading (order-comonotonic) functions on a totally ordered set.
Cite
@article{arxiv.2507.08040,
title = {Conditional Probability formula as a consequence of the Insufficient Reason Principle},
author = {Alexander Dukhovny},
journal= {arXiv preprint arXiv:2507.08040},
year = {2025}
}