We are still unable to correctly identify the true crisis in Europe: whether it is a question of a lack of a demos or cratos; whether it is the democracy, legitimacy, or justice that is inadequate; whether we are facing a problem of intelligibility or of too little politicization. The article begin the analysis with three hypotheses: (1) none of the attempts to explain the crisis that focus on a single deficit or weakness seems satisfactory, so the discussion should focus on the way these types of deficiencies are expressed and the extent to which each one of them is involved. For this very reason, it makes no sense to entrust the entire solution to the strengthening of one single criterion (participation, effectiveness, or communication, for example). (2) Polarizing the legitimacy framework around two possibilities (input and output) seems to be a simplification that does not do justice to the intricate way in which the results and the procedures, effectiveness and consent are related in a democracy. (3) The resulting description cannot be less complex than that which it is attempting to describe, so the task of repairing EU legitimacy should be carried out through a sophisticated division of labor (between institutions, criteria, and values). The process of European integration may be one of the most interesting manifestations of a general problem in today’s societies: how to reconstruct political authority to confront the new challenges of communal life.