There really is such a thing as collective intentionality.
It is not the same as the summation of the individual intentions, but that it is specifically the intentionality of the collective agent, where this collective agent is biologically primitive.
A collective intention is a structure that inherently contains the idea of cooperation.
The cooperative element is given by the fact that the content of the intention specifies the action as part of the cooperative action of the group.
In the ordinary cases, where we capture the structure of group behavior, the notion of **collective intentions** seems to have a function that cannot be reduced to the sum of individual intentions.
Individual intentions cannot be analyzed adequately without relating them to the intentions of other members of a group.
The capacity to engage in collective intentionality is something that exists only within a high-level form of culture and cooperation.