70 TWO NEW WORLDS 



fully. The advance of science leads to simpler and 

 fewer formulae, just as the advance of civilisation 

 simplifies the satisfaction of our elementary needs. 

 Every new natural law discovered registers a vast 

 array of facts automatically in order. The out- 

 standing puzzles largely concern the infinite and 

 the infinitesimal. It has often been supposed that 

 these two regions are beyond the grasp of the 

 human intellect. But that has been shown to be 

 fallacious ever since the discovery of the infinitesi- 

 mal calculus. 



The infra-world is not an infinitesimal world, 

 except in a relative sense. It can be dealt with 

 on a finite scale, just as a differential coefficient 

 can, and a succession of infinitesimals and infini- 

 tudes of several orders can be dealt with according 

 to recognised algebraic principles. This indicates 

 the possibility of bringing the whole chain of 

 universes within the purview of our present-day 

 science. 



