. The seminar is supported by the grant of Federal Programm "Integration" . annotation of talk . Yurij Victorovich Baryshev (Astronomical Inst. of St.-Petersburg University) . Conceptual problems of contemporary cosmology . Contents. 1. Modern tests of FRW models. 2. Results of study of 3-dimensional galaxy distribution. 3. Fractal distributions and Cosmological Principle. 4. Hubble-de Vaucouleurs paradox. 5. Possible solutions of Hubble-de Vaucouleurs paradox. 6. Conclusions.

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