Preface; M. Plionis, S. Cotsakis. Theoretical Cosmology. Current Trends in Mathematical Cosmology; S. Cotsakis. Casimir Effect Contribution to the Cosmological Constant; E. Elizalde. Masses of Cosmological Structures; N.K. Spyrou. Geometrical Aspects of Cosmic Magnetic Fields; C.G. Tsagas. Galactic Magnetic Field as a consequence of Inflation; K. Dimopoulos. Relaxation of the Cosmological Principle; M. Tsamparlis. A Note on Wavemap-Tensor Cosmologies; S. Cotsakis, J. Miritzis. Inflation in String Theory and how you can get out of it; E. Papantonopoulos. Quantum Cosmology for the General Bianchi Vacuum Geometries; T. Christodoulakis, G.O. Papadopoulos. Black Hole Entropy, Topological Entropy, Baum-Connes Conjecture; I.P. Zois. Observational Cosmology. Froth across the Universe; R. van de Weygaert. Cosmological Parameters; E. Gaztañana. Forming Counterrotating Galaxies; N. Voglis, M. Harsoula. Cosmological Parameters from the Clustering of AGN; S. Basilakos. Large-Scale Environmental Effects of the Cluster Distribution; M. Plionis. Scale Dependence of Dark Energy Antigravity; L. Perivolaropoulos. Probing the Evolution of Galaxies using Redshifted Halpha Emission; P.P. van der Werf, et al. Gas in the Universe; P. Papadopoulos. Summary. Report to Anaximander; R. van de Weygaert.