The specter of the 'group mind' or 'collective subject' plays a crucial and fateful role in the current debate on collective intentionality. Fear of the group mind is one important reason why philosophers of collective intentionality resort to individualism. It is argued here that this measure taken against the group mind is as unnecessary as it is detrimental to our understanding of what it means to share an intention. A non-individualistic concept of shared intentionality does not necessarily have to get stuck with some collectivist super-agent. Rather, the specter of the group mind arises from a deep-seated 'Cartesian' preconception concerning intentionality, which we should try to overcome.