This lecture is a discussion of the problem of induction. I begin by looking at the structure of logical reasoning with a view to delineating the ‘problem’ with inductive reasoning; this is a problem for scientific knowledge as inductive reasoning is essential to science. I explore Hume's analysis of the problem of induction with a view to showing how deep the problem runs. I explain Hume's ultimate resolution to the problem in modern parlance as a type of naturalism. Copyright 2013 Jack Reynolds / La Trobe University, all rights reserved. Contact for permissions.