(i) It covers a complete group of topics in the physics of complex systems that is currently a hot topic in the physical community, (ii) it considers epistemological problems of physics through Gödel’s Incompleteness Theorems and (iii) it singles out problems in physics which could be solved through the synergy of physics and other sciences. (iv) The audience is divided into two groups: experienced researchers and the young scientists contemplating their future perspectives. This is a valuable text for researchers, postdoctoral students and university professors who teach advanced courses in certain fields of physics of complex systems.