It is interesting to speculate about the brain's psychological arrow of time in the last few seconds before the conguration A0 is reached. Does the brain experience a reversed arrow of time, with memories of the future? In real brains, quantum processes occur and decohere on a very short timescale, generating entropy along the way. It is at least conceivable that the brain's psychological arrow remains synchronized with the thermodynamic arrow of its environment. However, the macroscopic processes that characterize any particular brain state may be sufficiently robust that the psychological arrow (to the extent that it is well-defined) remains consistent, and the pre-completion brain "observes" an environment of decreasing entropy. In this context we will note that the question of whether the "psychological" arrow of time of an abstract computing machine must align with the thermodynamic arrow is a controversial one.