10.1184/R1/6491159.v1 Kevin T. Kelly Kevin T. Kelly Oliver Schulte Oliver Schulte Church's Thesis and Hume's Problem Carnegie Mellon University 1997 Philosophy 1997-01-01 00:00:00 Journal contribution https://kilthub.cmu.edu/articles/journal_contribution/Church_s_Thesis_and_Hume_s_Problem/6491159 We argue that uncomputability and classical scepticism are both reflections of inductive underdetermination, so that Church's thesis and Hume's problem ought to receive equal emphasis in a balanced approach to the philosophy of induction. As an illustration of such an approach, we investigate how uncomputable the predictions of a hypothesis can be if the hypothesis is to be reliably investigated by a computable scientific method.