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As a key figure of heteronomy, history dislodges subjects and groups from their narcissistic self-centering. At the same time, conflictuality constitutes one of the solutions proposed by social groups for dealing with the figure of alterity, with the other, with others. In this sense, conflictuality is opposed to conflict and constitutes a method of linking that is indispensable for institutional life. At the level of the subject, it is also conflictuality, internal this time, which, in correlation with external social conflictuality, opens out onto the work of thinking. In this article, the emphasis will be placed on the dynamics with which we are faced, in daily institutional life, and on the specific mutations brought about by current “terrorist” irruptions at the level of social linking. A situation of knotting points between a subject, a professional group, users and an institution make it possible to see how the processes of a failure of thinking and the destruction of internal dialogue operate. This text will question, therefore, the indispensable conflictual plurality that groups must embody and sustain so that human destructiveness is anchored in linking and in history.