We present a number of puzzles arising for the interpretation of modified numerals. Following Büring and others we assume that the main difference between comparative and superlative modifiers is that only the latter convey disjunctive meanings. We further argue that the inference patterns triggered by disjunction and superlative modifiers are hard to capture in existing semantic and pragmatic analyses of these phenomena (neo-Gricean or grammatical alike), and we propose a novel account of these inferences in the framework of bilateral state-based modal logic defining a first order extension of Aloni (Semant Pragmat 15:5-EA, 2022. https://doi.org/10.3765/sp.15.5)’s BSML.

我们提出了一些因修改数字的解释而产生的难题。继 Büring 和其他人之后，我们假设比较级和最高级修饰语之间的主要区别在于只有后者传达了分离意义。我们进一步争辩说，由析取和最高级修饰语触发的推理模式很难在这些现象的现有语义和语用分析（新格里斯或语法类似）中捕捉到，我们提出了在双边状态框架中对这些推理的新解释基于模态逻辑定义 Aloni 的一阶扩展（Semant Pragmat 15:5-EA, 2022. https://doi.org/10.3765/sp.15.5）的BSML。