* Galileo's demonstrative method, Bacon's inductive method, and Newton's rules of reasoning
* the rise of probabilistic `Bayesian' methods in the eighteenth century
* the method of hypotheses through the work of Herschel, Mill and Whewell
* the conventionalist views of Poincaré and Duhem
* the inductivism of Peirce, Russell and Keynes
* Popper's falsification compared with Reichenbach's enumerative induction
* Carnap's scientific method as Bayesian reasoning
The debates are brought up to date in the final chapters by considering the ways in which ideas about method in the physical and biological sciences have affected thinking about method in the social sciences. This debate is analyzed through the ideas of key theorists such as Kuhn, Lakatos, and Feyerabend.
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