Why Quantum Statistics?
Consider the following scenario. An initial measurement indicates that two indistinguishable particles – particles of the same type, carrying no kind of identity tag – are headed northward and southward, respectively. The next (relevant) thing that is indicated by a measurement is that two particles of exactly the same type are headed eastward and westward, respectively. We also assume that the scattering is elastic – no particles are created or annihilated in the meantime – and that the pair of outgoing particles is in some sense the same as the pair of incoming particles: no other particle has entered or left the scene in the meantime.