  Spatially homogeneous but possibly anisotropic cosmologies have two main
types of singularities: (1) asymptotically velocity term dominated (AVTD) -
(reversing the time direction) the universe evolves to the singularity with
fixed anisotropic collapse rates ; (2) Mixmaster-the anisotropic collapse rates
change in a deterministicaly chaotic way. Much less is known about spatially
inhomogeneous universes. It has been claimed that a generic universe would
evolve toward the singularity as a different Mixmaster universe at each spatial
point. I shall discuss how to predict whether a cosmology has an AVTD or
Mixmaster singularity and whether or not our numerical simulations agree with
these predictions.
