This paper analyses the methodological ideas of Sergei Vsekhsvyatskii’s Studies on Philosophical Issues of Cosmology and Cosmogony. The article examines the background and history of the development of astronomy and cosmology in Ukraine and its gradual transition from a descriptive method to mathematical analysis. The authors have studied the influence of Ukrainian scholars and philosophers on studies in cosmology, astronomy, philosophical issues in cosmology, and computational cosmology. The philosophical understanding of cosmology and cosmogony is always a search for alternative views (...) on generally accepted ideas, not intending to deny the merits of other sciences but to critically analyse the conclusions of the natural sciences, made based on empirical data and mathematical calculations. The contribution to global knowledge by Ukrainian astronomers, astrophysicists, cosmologists, and other scientists who work on questions about the Universe has been studied. It is indicated in which modern research areas the main contributions were made (dark matter, dark energy, gravitational lensing). These contemporary problems of cosmology go beyond the usual field of understanding of the natural sciences, which actualises the possibility of an interdisciplinary dialogue between physicists and philosophers on the problems of cosmology and cosmogony. Using the example of Sergei Vsekhsvyatskii’s works, the authors showed how philosophical analysis can reveal the weaknesses of the methodology and ask key questions to understand the essence of the processes of space. In the 1960s, he investigated the density of space objects to find new ways to solve the cosmogonic processes of the past. However, even today, the density of the Universe raises major questions. Even though science has made a huge leap in half a century, the essence of scientific and philosophical search remains the same. (shrink)