Whether we adopt a representationalist or an inferentialist metasemantics for standard quantum mechanics (QM), categoricity turns out to be a problem. One might be inclined to think that the ensuing semantic indeterminacy of QM is inevitable. This chapter aims to oppose this inclination: first, categoricity, as a property apt to characterize physical theories, should be pursued, at least as a metasemantic ideal; and secondly, despite almost unanimous rejection, the rational reconstruction of QM, as a Carnapian language, should not really be thought impossible as a basis for further metasemantic investigations.