Abstract: Effective field theories (EFTs) form the basis of our most successful theories of matter, both in particle physics and in condensed matter physics. But the structure of EFTs poses a challenge to many standard philosophical accounts of theory structure and content. In particular, the inability to cast EFTs in terms of exact mathematical objects defined at all scales suggests that philosophical accounts of theory interpretation ought to be modified to deal with approximate, scale-relative ontologies. In this talk, I take some preliminary steps toward an alternative approach to theory interpretation, suitable to EFTs as well as other mathematized theories. Starting from the assumption that EFTs currently allow us to successfully learn about the world, I explicate some features the world must have for that to be true.
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