Conditional Probability formula as a consequence of the Insufficient Reason Principle

TL;DR

This paper derives the standard conditional probability formula from the Insufficient Reason Principle, framing it as a consequence of the Maximum Relative Divergence Principle for specific functions on ordered sets.

Contribution

It introduces a novel derivation of conditional probability from the Insufficient Reason Principle using the Maximum Relative Divergence framework.

Findings

Conditional probability formula derived from Insufficient Reason Principle

Framework based on Maximum Relative Divergence for order functions

Provides a new foundational perspective on probability rules

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.