According to the sensitivity account of knowledge, if one knows that p, then (roughly) were p false, one would not believe that p. One important issue regarding sensitivity is whether or not it preserves inductive knowledge. Critics including Jonathan Vogel, Ernest Sosa, and Duncan Pritchard argue that it does not. Proponents including Kevin Wallbridge insist that it does. In this paper, I first draw attention to an often-neglected distinction between two different versions of sensitivity—a distinction that has important implications for (...) the debate regarding inductive knowledge. In particular, I distinguish between the sensitivity principle originally defended by Robert Nozick and another version that has been the focus of many recent discussions. With the distinction in place, it is shown that a sensitivity theorist cannot preserve inductive knowledge while being unscathed. For neither account can simultaneously preserve inductive knowledge while properly handling the Gettier problem. Overall, sensitivity theorists are in trouble. (shrink)