There are many persons no doubt who regard utility, not as a primary stage, but as the final and highest result of science. But the highest achievements of science, even the highest practical achievements, would never have been reached by the mere utilitarian. There is a force within us by which we are moved in the direction of acquiring knowledge for its own sake and for the sake of truth, regardless of any material advantage to be derived from such knowledge. Sooner or later such knowledge is sure to bear practical fruits, even though we may not live to realize them.

It is in this spirit that men of science have advanced to the second or classificatory stage, in which, with a view to higher generalization, the subjects studied are grouped together according to their affinities, and specific points of resemblance are taken as the representatives of each class.

These classes are at first grouped round independent centres; but such an arrangement of them, having no existence in reality, is purely subjective and can only be transitional. The margins of the classes so formed represent only the margins of our knowledge or our ignorance, as the case may be.

By degrees, as the classes become extended, sub-classes are formed, and they are seen to arrange themselves in the form of branches radiating from a central stem. By still further observation, the stems of the several classes are seen to tend towards each other, and we are led to trace them to a point of union.

Thus from the classificatory or comparative we pass gradually into the third stage, which I have spoken of as the theoretical, but which may perhaps be more clearly defined as the evolutionary. By the use of this term ‘evolutionary’ we make it apparent that our third stage is but a development of the second, evolution being merely the necessary and inevitable result of the extension of classification, implying greater unity and broader generalizations.

These three stages then, the empirical or practical, the classificatory or comparative, and the evolutionary, are applicable to the development of all the inductive sciences.

But it has been held by some that a broad line of demarcation must be drawn between the physical sciences properly so called, such as zoology, botany, and geology, which deal with external nature, and those sciences which have been termed historic, which deal with the works of man.

This question has been ably treated by Professor Max Müller in the series of lectures to which I have referred, a course of lectures which must be regarded as a starting-point and basis of instruction for all who follow after him in the same path.

But in claiming for the science of language, and for language only, a place amongst the physical sciences, he has made admissions to opponents which, in my humble judgement, ought not to be made, and which are inconsistent with that more extended view of the subject by which I contend that, if language, then all that comes under the head of culture must be included amongst the physical sciences. Thus, for example, we find him admitting this passage as a sound and reasonable argument on the part of those who deny the claim of language to be included amongst the physical sciences: ‘Physical science,’ he says, ‘deals with the work of God, historical science with the works of man.’

Now if in dealing with what are here termed the historical sciences, we were to take the subjects of such sciences, as for example the arts or language, implements or words, and were to regard them as entities to be studied apart from their relation to mind, and were to endeavour to deduce from them the laws by which they are related to each other, it is evident that we should be dealing with a matter which could not be correlated with the physical sciences; but such a course would be absurd. It would be as absurd to speak of a boomerang as being derived by inheritance from a waddy, as to speak of a word in Italian being derived by inheritance from a corresponding word in Latin; these words and these implements are but the outward signs or symbols of particular ideas in the mind; and the sequence, if any, which we observe to connect them together, is but the outward sign of the succession of ideas in the brain. It is the mind that we study by means of these symbols.