100 THE WORLD-ENERGY 



to the realm of infinite. For in every such case measure 

 consists in the comparison of any given object with an 

 arbitrarily chosen, and therefore finite, standard. Every- 

 thing measured is by that fact limited. Hence it is that 

 the realm of mathematics is the realm of finite thought. 



At the same time, we have seen that the sum-total of 

 the extended world is necessarily a unit a whole of 

 which the infinitely varied phases constitute the specific 

 objects of all sense-perception. That is, these objects 

 are but the precisely defined forms resulting from the 

 activity of the total World-Energy. 



But measure is the comparison of these various forms, 

 one with another, or with some purely conventional stand- 

 ard. That is, these forms present the only realm of the 

 actually measurable ; so that the world, as a whole, thus 

 proves to be measureless. 



And yet these forms, we have just seen, are not only the 

 specific objects of sense-perception, but they are also the 

 direct product of the activity of the World-Energy. They 

 are modes of its manifestation. In other words, the 

 measurable proves to be just a phase of the measureless. 

 Or, again, the measurable is found to constitute the 

 modes in which the measureless manifests itself. Nay, 

 Mr. Spencer himself, as we remember, allows that even 

 the "Unknowable" has an established order of self- 

 manifestation. 



Thus the measurable is found to be the finite, while 

 the measureless is the infinite ; so that the finite is not 

 something contrasted with the infinite, but is in truth a 

 mode or phase of the infinite. Otherwise the infinite 

 would have to maintain itself in contrast with, or in 

 opposition to, the finite. It would then be in external 



