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MATHEMATICS 



A COURSE of lectures on the Problems of 

 Modern Science, designed on the present 

 lines, may well raise the question of the 

 exact position which the problems of Mathematics 

 should occupy. Is Mathematics to be regarded as 

 an Art or a Science ? This old question has never 

 been solved by any individual or corporate body, 

 and for the sufficient reason, perhaps, that Mathe- 

 matics is neither Art nor Science exclusively. 

 Our University shelves the question entirely by 

 placing the subject in three distinct Faculties 

 Arts, Science, and Engineering this is perhaps the 

 solution, and not a mere shelving. For it is neces- 

 sary to realise that the subject is not like, for 

 instance, any other scientific subject it is a class 

 of subjects of very different types, connected only 

 by the one dominating characteristic of being 

 logical accounts of some set of conceptions or of 

 phenomena which can be stated in quantitative, 

 and not merely general or qualitative terms. 

 These conceptions or phenomena form the 

 subject-matter on which it operates, and the 

 subject-matter determines, in any case, whether 



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