508 LAWS OF MULTIPLICATION. 



must be great, and vice versd. Whence it follows that the 

 evolution of a race more in equilibrium with the environment, 

 is also the evolution of a race in which there is a correlative 

 approach towards equilibrium between the number of new 

 individuals produced and the number which survive and 

 propagate. 



The final result to be observed, is, that in Man, all these 

 equilibrations between constitution and conditions, between 

 the structure of society and the nature of its members, be- 

 tween fertility and mortality, advance simultaneously towards 

 a common climax. In approaching an equilibrium between his 

 nature and the ever- varying circumstances of his inorganic 

 environment, and in approaching an equilibrium between his 

 nature and all the requirements of the social state, Man is at 

 the same time approaching that lowest limit of fertility at 

 which the equilibrium of population is maintained by the 

 addition of as many infants as there are subtractions by death 

 in old age. Changes numerical, social, organic, must, by their 

 mutual influences, work unceasingly towards a state of har- 

 mony a state in which each of the factors is just equal to its 

 work. And this highest conceivable result must be wrought 

 out by that same universal process which the simplest inor- 

 ganic action illustrates. 



THE 



