A cosmological model is proposed which contains features of both the big-bang and steady-state theories but avoids many of their problems. In a universe that starts from zero mass, creation occurs at discrete sites which eventually form the galaxies. The universe shows symmetry between both matter and antimatter and between real matter and virtual matter. The repulsive force produced by virtual matter balances gravitation on the cosmological scale. Annihilation of matter and antimatter in the early dense phases could account for many of the large-scale features of the observed universe.