 Distributions (summations, aggregates) of individual intentions do not make for collective intentions, even if combined with common knowledge, or mutual belief. This is accepted by an increasing number of contributors to the recent debate. Collectively intentional attitudes are not just sets of run-of-the-mill individual intentional attitudes combined with common knowledge or mutual belief. Another way of putting this is to say that collective intentionality is irreducible to individual intentionality (though this is generally accepted only insofar as individual intentionality is narrowly understood). It is only in virtue of its irreducibility that the intentional state in question can be attributed to the participants as a group.