Criticism and the History of Science deals with Thomas Kuhn's, Imre Lakatos's and Paul Feyerabend's criticism of Karl Popper's falsificationist conception of science. It argues that this criticism is based on two important methodological problems: the problem that observations and tests statements are fallible and impregnated with theory, and the problem of how to test complex theoretical systems. In order to solve these problems it shows how problematic test statements can be criticised and whole theoretical systems falsified. In this way the falsificationist conception of science is developed and defended in a way making a deeper understanding of science and its history possible.