A modification of the projection technique in convolutionless form is developed. The dynamical basis of macroscopic theory is discussed with the aid of this method in order to remove from it superfluous and artificial suppositions, in particular, those of a probability theory nature. It is shown that sufficient instability of the system with respect to the initial microstate naturally leads to the possibility of a macroscopic description, the latter proving to be closed, causal, and asymptotically exact. The objective sense of the theory and the principal questions of its interpretation are discussed.