 The shift in the accounts of scientific theory from syntactic to semantic approaches has changed conceptual perspectives and, accordingly, formulations and evaluations of reductive relations and reductionism. However, examples of the semantic approach focusing on mathematical structures and satisfaction of set-theoretic relations have focused on syntactic features—including the axiomatic form of a theory—in the discussion of reduction (Sarkar 1998, da Costa and French 2003). In this sense, the structuralist approach can be construed as a neo-Nagelian account, while an alternative line of research has championed the more traditional structuralist semantic approach (Balzer and Moulines 1996; Moulines 2006; Ruttkamp 2000; Ruttkamp and Heidema 2005).