The article shows that the quantum paradigm makes it possible to break the deadlock of the free will problem of Laplacian determinism, since the phase trajectory of a quantum object has ramification points. The key point in the quantum approach is the introduction into consideration of the extraphysical Self, which observes the contents of consciousness, which are a reflection of the information processes occurring in the brain. At the same time, the contents of consciousness are connected both with the actual invironment and with the world of potential capabilities of a living being. It is pointed out that this connection of consciousness with the timeless world of potential possibilities of the Universe which should be considered as the Kantian region of the transcendental and the “chessboard” within which living beings make a free choice of their actions. It is shown that the quantum approach to the problem of freedom and consciousness allows us to explain the non-algorithmic nature of human thinking.