The situation in the conventional thermodynamics is in fact paradoxical. On the one hand, it is a knowledge field of the utmost importance, but, on the other hand its, logical build-up is clearly deficient. We would herewith like to discuss several important questions:
1. How many Basic Laws has thermodynamics?
2. Thermodynamics and Time – a profound conceptual incompatibility?
3. What is the actual physical sense of the entropy notion?
4. What could be the proper mathematical tools for the true thermodynamics?