Revisiting Lacan's discussion of the puzzle of the prisoner's dilemma provides a means of elaborating a theory of the trans‐subjective. An illustration of this dilemma provides the basis for two important arguments. Firstly, that we need to grasp a logical succession of modes of subjectivity: from subjectivity to inter‐subjectivity, and from inter‐subjectivity to a form of trans‐subjective social logic. The trans‐subjective, thus conceptualized, enables forms of social objectivity that transcend the level of (inter)subjectivity, and which play a crucial role in consolidating given societal groupings. The paper advances, secondly, that various declarative and symbolic activities are important non‐psychological bases—trans‐subjective foundations—for psychological identifications of an inter‐subjective sort. These assertions link interesting to recent developments in the contemporary social psychology of interobjectivity, which likewise emphasize a type of objectivity that plays an indispensible part in co‐ordinating human relations and understanding.