The article provides a solution to the three-dimensional classification problem of the Sciences obtained on a new Cognition Theory basis, which is built proceeding from some general physical representations and a new look at the General Psychology basics. The foundation completeness criteria of any cognitive system and any research, which are critical for the Sciences classification, is also formulated and justified. Proceeding from the natural classification principle of the Sciences, Operator Sciences for studying cognition various levels objects are presented in the Two-Dimensional Tables form, which are corresponding cuts of Three-Dimensional Tables of the Sciences, briefly 3-DTS. It is shown that 3-DTS is a reliable tool for forecasting the development of existing and emergence of new Sciences, both Differential and Interdisciplinary. Thanks to 3-DTS, all possible Complexes of Differential Sciences, which can be spatial, flat and linear, are revealed.