Critics of the paradigm of enaction have long argued that enactive principles will be unable to account for the traditional domain of orthodox cognitive science, namely “higher-level” cognition and specifically human cognition. Moreover, even many of the paradigm’s “lower-level” insights into embodiment and situatedness appear to be amenable to a functionalist reinterpretation. In this review, I show on the basis of the recently published collection of papers, Enaction, that the paradigm of enaction has (a) a unique foundation in the notion of sense-making that places fundamental limits on the scope of functionalist appropriation; (b) a unique perspective on higher-level cognition that sets important new research directions without the need for the concept of mental representation; (c) a new concept of specifically human cognition in terms of second-order sense-making; and (d) a rich variety of approaches to explain the evolutionary, historical, and developmental origins of this sophisticated human ability. I also indicate how studies of the role of embodiment for abstract human cognition can strengthen their position by reconceiving their notion of embodiment in enactive terms.