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A recent series of papers, sparked off by a note by Robert Walter (1996), has rekindled the debate over the possibility of creating a logic of normative concepts. The debate correctly centres on ways in which Jørgensen’s dilemma might be resolved (Jørgensen 1937–8), since a means of resolving that dilemma is the only apparently available way in which to establish that a logic of norms is possible. Two separate questions require answers: (i) what is the correct way in which to regard Jørgensen’s dilemma; and (ii) how should one face that dilemma? I shall argue that traditional responses to the first question are inadequate, and I shall then try to expose as flawed two recent attempts to resolve the dilemma. Finally, I shall relate my conclusions in the earlier part of the paper to the wider question of whether a logic of normative concepts is, after all, a possibility.