Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

Stove argues that Popper and his successors in the philosophy of science, Kuhn, Lakatos and Feyerabend, were irrationalists because they were deductivists. That is, they believed all logic is deductive, and thus denied that experimental evidence could make scientific theories logically more probable. The book was reprinted as Anything Goes (1998) and Scientific Irrationalism: Origins of a Postmodern Cult (1998).

Probabilistic local realism for two correlated systems as formulated by Clauser and Horne in 1974 is shown to be necessarily based on a perfect specification of the state and on an individual definition of probability. All known realistic formulations of probability calculus are instead defined in terms of relative frequencies, and perfect specifications of states are impossible. We reformulate probabilistic local realism by using the relative frequency definition only and show that the Einstein, Podolsky, and Rosen paradox still obtains.