{"ID":2863581,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.24735","arxiv_id":"2509.24735","title":"Resolution of the Borel-Kolmogorov Paradox via the Maximum Entropy Principle","abstract":"This paper presents a rigorous resolution of the Borel-Kolmogorov paradox using the Maximum Entropy Principle. We construct a metric-based framework for Bayesian inference that uniquely extends conditional probability to events of null measure. The results unify classical Bayes' rules and provide a robust foundation for Bayesian inference in metric spaces.","short_abstract":"This paper presents a rigorous resolution of the Borel-Kolmogorov paradox using the Maximum Entropy Principle. We construct a metric-based framework for Bayesian inference that uniquely extends conditional probability to events of null measure. The results unify classical Bayes' rules and provide a robust foundation fo...","url_abs":"https://arxiv.org/abs/2509.24735","url_pdf":"https://arxiv.org/pdf/2509.24735v3","authors":"[\"Raphaël Trésor\",\"Mykola Lukashchuk\"]","published":"2025-09-29T12:58:56Z","proceeding":"math.ST","tasks":"[\"math.ST\"]","methods":"[]","has_code":false}