  I discuss a few aspects of dense hadronic matter and superdense QCD matter
that are considered to be relevant to the physics of compact astrophysical
systems. The connection between a "bottom-up approach" and a "top-down
approach" is made with the help of an effective field theory strategy. Topics
treated are meson condensation going up from low density and color
superconductivity going down from asymptotic density with the approach to the
chiral phase transition made in terms of Brown-Rho scaling.
