We present “applied theory of knowledge” (some useful rules and tendencies of science development) in the form of dialoge “teacher-pupil”. The theacher suggests several lows from the theory of knowledge: 1. “Hegelian Triad” (thesis→antithesis→synthesis), 2. Dialectical lows, 3. The low of “Three Non-” (the theory evolves from uniform to non-uniform, from static to dynamic, from linear to non-linear) 4. The transition from qualitative description to quantitative description, etc, and different types of logic.