Before revision:  The saturating function is the only nonlinearity in the model, yet we prove how it yields rapid and reliable formation of consensus, dissensus , and opinion cascades as a function of just a few parameters.
After revision:  The saturating function is the only nonlinearity in the model, yet we prove how it yields rapid and reliable formation of multistable consensus and dissensus states, even in homogeneous networks, as well as ultra-sensitivity to inputs , and opinion cascades as a function of just a few parameters.