The article dwells upon the three systems of natural and scientific worldviews: anthropocentrism, biocentrism, ecocentrism. It states that each system has certain basic theses, plays the role of an aggregate of behavioral attitudes and theoretical theses. Their hierarchy is being revealed. The utopic nature of certain attitudes is shown by the authors. The article shows the interconnection between anthropocentrism, biocentrism, and ecocentrism and the respective types of knowledge: classical science, non-classical science, and post-non-classical science. It has been concluded that ecocentrism offers the best way of nature-society interaction. However, this worldview type needs further development at both natural and scientific knowledge levels.