 One main worry that Stanley (2001) presses with respect to hermeneutic fictionalism concerns systematicity. Take the case of mathematics. Infinitely many sentences belong to mathematical discourse, and to be competent with mathematical discourse involves having the competence to grasp these infinitely many sentences. Standard considerations concerning the finitude of our minds require that our grasp of these infinitely many sentences is something we have by virtue of our grasp of some finite set of principles: a compositional semantic theory is required. But it is, the worry goes, unclear what a compositional fictionalist semantic theory might conceivably look like.