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arXiv · 2511.00228

Probabilities are always axiomatizable

Zalán Gyenis
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Abstract

In this paper we study the interaction between logic and probability. In particular, we show that the convex hull of evaluations of a broad class of logics is always effectively axiomatizable. We define a Birkhoff-style calculus for probability axioms for which compactness, and finite completeness is proved. We give example for a logic for which probabilities are not finitely axiomatizable.

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Zalán Gyenis. 2025-10-31. Probabilities are always axiomatizable. https://arxiv.org/abs/2511.00228

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