THE STUDY OF MATHEMATICS 73 



of an age or a nation, the austerer virtues have a strange 

 power, exceeding the power of those not informed and 

 purified by thought. Of these austerer virtues the love of 

 truth is the chief, and in mathematics, more than else- 

 where, the love of truth may find encouragement for wan- 

 ing faith. Every great study is not only an end in itself, but 

 also a means of creating and sustaining a lofty habit of 

 mind ; and this purpose should be kept always in view 

 throughout the teaching and learning of mathematics. 



