Conditional Probability formula as a consequence of the Insufficient Reason Principle

2025/07/09 by Dukhovny, Alexander · 2 citations
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR) #primary 60

paper · doi:10.48550/arxiv.2507.08040

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.

Citations

• Axiomatic Origins of Mathematical Entropy: Grading Ordered Sets

Cited by

• Relative Divergence and Maximum Relative Divergence Principle for Grading Functions on Partially Ordered Sets
• Definition formula for probabilities of independent events as a consequence of the Insufficient Reason Principle

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