  In contrast to conventional, dynamical entanglement, in which particles with
definite identity have uncertain properties, in so-called statistical
entanglement, which arises between indistinguishable particles because of
quantum symmetry rules, even particle identities are uncertain. The Bell and
Kochen-Specker theorems imply that quantum properties either lack realism or
possess it with a caveat of contextuality or nonlocality. In the matter of
identity of multi-particle states of indistinguishable particles, these
contrasting ontological attitudes are mirrored by the "bundle" vs. haecceity
views. We offer some arguments aimed at importing the above theorems to the
issue of identity in quantum theory, with the conclusion (under certain
assumptions) that indistinguishable particles either lack individualism or
possess a definite identity with a caveat of contextuality or nonlocality.
