  I address the problem of explaining why wave functions for identical
particles must be either symmetric or antisymmetric (the symmetry dichotomy)
within two interpretations of quantum mechanics which include particles
following definite trajectories in addition to, or in lieu of, the wave
function: Bohmian mechanics and Newtonian quantum mechanics (a.k.a. many
interacting worlds). In both cases I argue that, if the interpretation is
formulated properly, the symmetry dichotomy can be derived and need not be
postulated.
