CORROBORATIVE READINGS 



" The gift of pure mathematics, on the other hand, is 

 primarily to the mind and spirit: the fact that man uses 

 it to get himself out of his physical predicaments is more 

 or less by the way. . . . 



" Common sense, immersed in the mere business of 

 living, knows no more about life than a fish knows about 

 water. The play of reason upon phenomena dissects 

 life, and translates it in terms of inertia. The pure logic 

 of mathematics ignores life and disdains its limitations, 

 leading away into cold, free regions of its own. Now 

 our desire for freedom is not to vibrate in a vacuum, but 

 to live more abundantly. Intuition deals with life di- 

 rectly, and introduces us into life's own domain: it is 

 related to reason as flame is related to heat. All of the 

 great discoveries in science, all of the great solutions 

 in mathematics, have been the result of a flash of intu- 

 ition, after long brooding in the mind. Intuition il- 

 lumines. Intuition is therefore the light which must 

 guide us into that undiscovered country conceded by 

 mathematics, questioned by science, denied by common 

 sense The Fourth Dimension of Space." 



CLAUDE BRAGDON : Four-Dimensional 



Vistas, pp. 6-8. 



" The question relates rather to the greater and more 

 advanced part of geometry whether that tends in 

 any degree to make more easy the vision of the idea of 

 good. . . . 



177 



