We exclude here the possibility to ’complete’ the probabilistic theory by admitting delta-function-like initial conditions. The
latter provide in this theory a deterministic description for all times. A probabilistic theory which contains deterministic
predictions - if only in a limiting case - is not a probabilistic theory anymore but a hybrid, containing predictions from
two completely different categories. It is, of course, acceptable as a generalization from a formal point of view. The
fundamental difference between probabilistic and deterministic is expressed by a completely different mathematical
realization of the two categories - partial differential equations for probabilistic theories and ordinary differential
equations for deterministic theories; note also the singular nature of the “function” bridging the gap between the two
categories