The authors present an argument which derives electron pairing correlations in a system whose many-body interactions are all repulsive. They analyse the spin-1/2 Anderson lattice in the nearly atomic limit through the nonlinear hopping Hamiltonian developed in the companion paper (ibid., vol.21, p.4567-89, (1988)). In a mean-field analysis, they find competition between magnetism in the truly atomic limit and superconducting pairing correlations as the kinetic energy is increased. They find singlet pairing solutions with a constant gap on the Fermi surface at some 'distance' from the magnetic solutions. Further, they find the possibility of a weaker instability towards odd-parity triplet pairing, with zeros of the gap on the Fermi surface, between these two coherent phases.