Strict finitism posits a largest natural number. The view is usually thought to be objectionably arbitrary. After all, there seems to be no apparent reason as to why the natural numbers should ‘stop’ at a specific point and not a bit later on the natural line. Drawing on how arguments from arbitrariness are employed in mereology, I propose several ways of understanding this objection against strict finitism. No matter how it is understood, I argue that it is always found wanting.

中文翻译：

---

严格有限论是任意的吗？


严格有限论假定了一个最大的自然数。这种观点通常被认为是令人反感的武断。毕竟，似乎没有明显的理由说明为什么自然数应该“停止”在特定点，而不是在自然线上稍后一点。借鉴分体学中如何运用任意性论证，我提出了几种理解这种反对严格有限论的方法。无论如何理解，我认为它总是被发现有缺陷。