Among the many reasons why John Searle is important in the debate revolving around the structure of collective intentionality is the fact that even though the history of the analysis of collective intentionality has roots that go further back,1 it was him who coined the term (Searle 1990). The following chapter sheds some critical light on a feature which Searle's account shares with most of the received accounts of collective intentionality. It is argued that fear of the group mind has played a fateful role in the early stages of the current debate by driving most philosophers of collective intentionality into accepting one or another version of intentional individualism.