This article builds on a recent paper coauthored by the present author, H. Hosni and F. Montagna. It is meant to contribute to the logical foundations of probability theory on many-valued events and, specifically, to a deeper understanding of the notion of strict coherence. In particular, we will make use of geometrical, measure-theoretical and logical methods to provide three characterizations of strict coherence on formulas of infinite-valued Łukasiewicz logic.

中文翻译：

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无限值事件上严格一致性的三个特征

本文建立在当前作者 H. Hosni 和 F. Montagna 合着的近期论文的基础上。它旨在为多值事件的概率论的逻辑基础做出贡献，特别是有助于更深入地理解严格连贯的概念。特别是，我们将利用几何学、测度论和逻辑学的方法，对无限值 Łukasiewicz 逻辑公式提供严格相干性的三种表征。