MATHEMATICAL CONCEPTS OF THE MATERIAL WORLD. 525 



What is wanted at this stage is some simple hypothesis concerning the motion of 

 objective reals and correlating it with the motion of electric points and electrons. 

 From such a hypothesis the whole electromagnetic and gravitational laws might 

 follow with the utmost simplicity. The complete concept involves the assumption of 

 only one class of entities as forming the universe. Properties of " space" and of the 

 physical phenomena " in space " become simply the properties of this single class 

 of entities. In regard to the simplification of the preceding axioms, viz., of 

 (I. -XVI.) Hp R, the ideal to be aimed at would be to deduce some or all of them 

 from more general axioms which would also embrace the laws of physics. Thus these 

 laws should not presuppose geometry, but create it. 





