Recent work on the hole argument in general relativity by Weatherall (Br J Philos Sci 69(2):329–350, 2018 ) has drawn attention to the neglected concept of (mathematical) models’ representational capacities. I argue for several theses about the structure of these capacities, including that they should be understood not as many-to-one relations from models to the world, but in general as many-to-many relations constrained by the models’ isomorphisms. I then compare these ideas with a recent argument by Belot (Noûs, 2017 . https://doi.org/10.1111/nous.12200 ) for the claim that some isometries “generate new possibilities” in general relativity. Philosophical orthodoxy, by contrast, denies this. Properly understanding the role of representational capacities, I argue, reveals how Belot’s rejection of orthodoxy does not go far enough, and makes better sense of our practices in theorizing about spacetime.

中文翻译：

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表象容量，在广义相对论中的应用

Weatherall (Br J Philos Sci 69(2):329–350, 2018 ) 最近关于广义相对论中的空洞论证的工作引起了人们对（数学）模型表示能力被忽视的概念的关注。我论证了关于这些能力结构的几个论点，包括不应将它们理解为从模型到世界的多对一关系，而应理解为受模型同构约束的多对多关系。然后，我将这些想法与 Belot 最近的论点（Noûs，2017 年。https://doi.org/10.1111/nous.12200）进行了比较，该论点声称某些等距线在广义相对论中“产生了新的可能性”。相比之下，正统哲学则否认这一点。我认为，正确理解表征能力的作用揭示了贝洛特对正统观念的拒绝是不够的，