Abstract
If the ideas about the pion-nucleon interaction discussed by Chew are taken seriously, it is important to know the accuracy of his calculation of the phase shifts for pion-nucleon scattering resulting from the second-order Tamm-Dancoff approximation. In this paper, exact solutions (found by numerical methods) of the integral equations for the scattering amplitudes resulting from the second-order Tamm-Dancoff approximation are compared with his approximate results.