The problem of human consciousness is a very old one in philosophy and religion. With beginning of enlightenment and the increasing importance of science the appearance of consciousness was shifted from philosophy to experimental methods in physics, chemistry, medicine, and, recently, to neurobiology. In philosophy, the two-aspect monism turned out to incorporate an acceptable way to approach the problem, since the pure monism cannot explain consciousness and all related aspects of psychology. The present study considers the problem of memory and based on quantum mechanics. In particular, the role of the Pauli exclusion principle is analyzed, since from its viewpoint, elementary particles like electrons must exhibit a certain kind of memory with regard to occupied or unoccupied quantum states. It is also very important with regard to long-range entangled states, which indicate to assume information functions in pyramidal cells.