Pitt (Analysis 77(4):735-741, 2017) has argued that reductive representationalism entails an absurdity akin to the "paramechanical hypothesis" Ryle (The concept of mind, Hutchinson, London, 1949) attributed to Descartes. This paper focuses on one version of reductive representationalism: the property-complex theory. We contend that at least insofar as the property-complex theory goes, Pitt is wrong. The result is not just a response to Pitt, but also a clarification of the aims and structure of the property-complex theory.