It is currently fashionable to take Putnamian model-theoretic worries seriously for mathematics, but not for discussions of ordinary physical objects and the sciences. However, I will argue that (under certain mild assumptions) merely securing determinate reference to physical possibility suffices to rule out the kind of nonstandard interpretations of our number talk Putnam invokes. So, anyone who accepts determinate reference to physical possibility should not reject determinate reference to the natural numbers on Putnamian model-theoretic grounds.

中文翻译：

---

物理可能性和确定数论

目前流行的是把普特南模型理论的担忧认真对待数学，而不是讨论普通的物理对象和科学。然而，我会争辩说（在某些温和的假设下）仅仅确保对物理可能性的确定参考就足以排除我们对普特南所引用的数字谈话的非标准解释。因此，任何接受对物理可能性的确定参考的人都不应该拒绝基于普特南模型理论基础的对自然数的确定参考。