In this paper, we introduce a notion of ‘disjunctive ignorance’, which is a weak combination of two forms of ignorance in the literature. We propose a logical language with ‘disjunctive ignorance’ as a sole modality, explore the logical properties of this notion and its related notions, and axiomatize it over various frame classes. By finding suitable reduction axioms, we extend the results to the case of public announcements and apply it to Moore-like sentences.

中文翻译：

---

析取无知的逻辑

在本文中，我们引入了“析取无知”的概念，这是文学中两种无知形式的弱组合。我们提出一种以“析取无知”为唯一形式的逻辑语言，探讨该概念及其相关概念的逻辑特性，并在各种框架类别上公理化它。通过找到合适的归约公理，我们将结果扩展到了公告的情况，并将其应用于类似摩尔的句子。