ABSTRACT

The useful part that is played in the physical sciences by the theorists, in so far as they are mathematicians, may be tried with advantage by other theorists, even in those domains of the knowable which do not lend themselves to the application of the mathematical method. Mathematics are very far from being necessary and indispensable in every method by which a theory is worked up, and there is therefore no reason to doubt the utility and fertility of theories constructed without mathematical aid in those sciences which do not admit of the use of calculation. As in the physical sciences, so in the biological and sociological there are many reasons, why the "theorist" is inferior to the man who has made experiment his special field of labour. This chapter shows the value of the function which, even in the biological and sociological sciences, the theorist may exercise in questions which emerge from the necessarily restricted domain of the specialist.