Complexity is among the main drivers that justify and guide the genesis and establishment of multi-, inter- and transdisciplinary approaches to the production and application of knowledge. Complexity can be read in the relatively canonical taxonomy of these concepts that structure epistemological reflections on the dynamics of knowledge production lying between and beyond disciplinary boundaries, a taxonomy that Julie Thompson Klein and other leading interdisciplinarians have proposed. The introduction of the concept of postdisciplinarity into this conceptual evolution allows for further reflection on more or less likely scenarios for the development of university institutions, scenarios more or less transgressive of the disciplinary status quo. These possible epistemological and institutional mutations would require actors who are cognitively available and open to change, or even frankly "undisciplined," with the goal of transforming academic institutions into the university of the future by fostering breakthrough innovation.