ABSTRACT
This chapter discusses the relation between premisses and conclusions of inductive arguments of the second order. The premisses of an inductive argument can be characterized as non-demonstrative evidence in favour of the conclusion. It is the aim of the various so-called methods of induction to afford principles guiding us in the accumulation and use of this evidence. Induction by elimination evidently represents a much more advanced mode of inductive procedure than induction by 'simple' enumeration. A convenient mode of studying the logic of elimination will be to study the eliminative method in its application to certain basic questions concerning nomic connexions between properties. The extension of the 'classical' logic of induction treating only the simple case, to a 'modern' logic of induction dealing with the complex case also to a main trend in the development of scientific ideas.
