This paper is a continuation of the previous work: V. Prits and V. Kuznetsov “The main fea- tures of the cosmological picture of the world.” After examining some of the discussions around newborn cosmology, the article considers cosmological problems from the point of view of the philosophy of modern cosmology. It is emphasized that today a single and coordi- nated view of cosmology and its philosophy has not been formed. The main objectives of the study are were, firstly, to identify (...) some philosophical, methodological and anthropological problems in the study of the Universe and, secondly, to focus on the interac- tion of philosophy and cosmology. It has been revealed that the cosmological principles on which almost all cosmological theories and models are based have a long and dramatic ideological history and philosophical founda- tion, and the concept of “Multiverse” is saturated with ontological and epistemological puzzles. The principles of Bruno-Copernicus and the anthropic cosmological principles are proposed to be considered in the light of the discovery of exoplanets. (shrink)