In the field of cultural evolution it is generally assumed that the study of culture and cultural change would benefit enormously from being informed by evolutionary thinking. Recently, however, there has been much debate about what this "being informed" means. According to the standard view, an interesting analogy obtains between cultural and biological evolution. In the literature, however, the analogy is interpreted and used in at least three distinct, but interrelated ways. We provide a taxonomy in order to clarify these different meanings. Subsequently, we discuss the alternatives model of cultural attraction theory and memetics, which both challenge basic assumptions of the standard view. Finally, we briefly summarize the contributions to the special issue on Darwin in the Humanities and the Social Sciences, which is the result of a collaborative project between scholars and scientists from the universities of Lille and Ghent. Furthermore, we explain how they add to the discussions about the integration of evolutionary thinking and the study of culture.