Could anyone reasonably oppose the idea that quality and excellence are essential to the university? However unlikely it seems, that is exactly what we would like to do in this article: we would like to reject the demand for quality and excellence in the university. We would like to arrive at a point at where the need for quality is no longer necessary. In this article, such a refusal will direct us to a proposal for using the spaces offered by the university and its teaching and research in a different way; in a way that transforms the university into a world university. This paper will argue that a world university is concentrated around attentive pools of worldly study. It is a university that has to invent new languages in order to answer the question “How can we live together?” In order to answer this question, and to be “present in the present,” we will clarify our argument that both acceptance and attention are needed in the world university. This position implies a kind of curiosity that is not driven by the “will to know” but by a caring attitude to what is happening now.