In the last decades, scientific laws and concepts have been increasingly conceptualized as a patchwork of contextual and indeterminate entities. These patchwork constructions are sometimes claimed to be incompatible with traditional views of scientific theories and concepts, but it is difficult to assess such claims due to the informal character of these approaches. In this paper, we will show that patchwork approaches pose a new problem of theoretical terms. Specifically, we will demonstrate how a toy example of a patchwork structure might trivialize Carnap’s semantics for theoretical terms based upon epsilon calculus. However, as we will see, this new problem of theoretical terms can be given a neo-Carnapian solution, by generalizing Carnap’s account of theoretical terms in such a way that it applies also to patchwork constructions. Our neo-Carnapian approach to theoretical terms will also demonstrate that the analytic/synthetic distinction is meaningful even for patchwork structures.