Abstract
At every stage of development cosmology is resting not only on the laws connected with empiric observations, but also on more general principals of methodological character. The conceptual function of the principals of symmetry in cosmology lies, firstly, in their special constructive part in the development of physical interpretation and extraction of the contents of the subject, and, secondly, in search of new solutions of some of the old problematic situations connected with principal contradictions of micro- and macroregularities. For example, the present conceptions of the plurality of Universes, which have various structures and are in different dynamic conditions can be comprehended on a synthetic basis of conceptions of a symmetrical Universe and Cosmic pluralism.