Abstract
The problem of complexity is considered within the framework of concepts developed in recent studies in the philosophy of chemistry. According to previously expressed ideas about diminishing interactions (Vančik, 1999), as well as on the basis of the concept of levels of complexity, we speculate here that the complexity should approach its final limit. On the other hand, dynamical complexity may grow ad infinitum, and relativistic effects can only limit it. Impacts of these considerations on a possible change of actual paradigm of cosmology, especially on the anthropic principle, are also discussed.