 The mathematics of renormalization is best understood as an instance of this general strategy for homogenization or upscaling. (Batterman 2012) It is crucial for a contemporary understanding of relations between theories. It is fair to say, however, that being able to understand such intertheoretic relations via homogenization and renormalization techniques does not entail the existence of reductive relations between the theories either in the philosophers’ or the physicists’ sense of the term. However, such an understanding may very well lead to a more nuanced and precise characterization of the debates about reduction and emergence.