ABSTRACT
This chapter indicates the way in which logic has developed from the science of reflective thinking, or reasoning, to the science of form. It shows that the traditional Aristotelian logic and the development of the science of pure form have had a common origin in reflection upon the nature and conditions of valid reasoning. The generalization of logic has resulted in a science of pure form not to be distinguished from mathematics. The chapter is concerned with ascertain how Aristotle was led to the discovery of syllogistic form. It refers to Aristotle's conception of mathematical reasoning. It shows that the generalization of logic as the science of pure form resulted from the attempt to make explicit all the premisses which enter into the construction of a system of geometry. The development of a science is an historical process dependent upon the ways in which men think. The theory of scientific method is sometimes described as 'inductive logic'.
