Number words seemingly function both as adjectives attributing cardinality properties to collections, as in Frege’s ‘Jupiter has four moons’, and as names referring to numbers, as in Frege’s ‘The number of Jupiter’s moons is four’. This leads to what Thomas Hofweber calls Frege’s Other Puzzle: How can number words function as modifiers and as singular terms if neither adjectives nor names can serve multiple semantic functions? Whereas most philosophers deny that one of these uses is genuine, we instead argue that number words, like many related expressions, are polymorphic, having multiple uses whose meanings are systematically related via type shifting.

中文翻译：

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解决弗雷格的另一个难题

数字词似乎既可以用作形容集合的基数属性的形容词，如弗雷格的“木星有四个卫星”，也可以用作指代数字的名称，如弗雷格的“木星卫星的数量是四个”。这导致了 Thomas Hofweber 所称的弗雷格的另一个谜题：如果形容词和名称都不能提供多种语义功能，那么数字词如何作为修饰语和单数词发挥作用？尽管大多数哲学家否认其中一种用途是真实的，但我们相反认为，数字词，就像许多相关的表达方式一样，是多态的，具有多种用途，其含义通过类型转换系统地相关。