102 THE WORLD-EKEKGY 



new value. So again 1 x 1 x 1, is a solid. It is still 1, but 

 1 with added wealth of meaning. 



And what do the higher "powers" of numbers signify 

 but varying degrees of "solidity"? And what are these 

 varying degrees of solidity but varying degrees of tension 

 within a given mass, resulting in qualities that is, in 

 enriched modes of existence? That plaything of modern 

 mathematics the "fourth dimension in space" is in 

 truth a symbol representing the transition from extensive 

 to intensive quantity. And the higher "powers" of 

 numbers in general are nothing else than abstract ex- 

 pressions hinting obscurely at the concrete fact that the 

 more intensive a given quantity of energy becomes, the 

 richer does it become in quality. 



In other words, what is commonly called quality as 

 distinguished from quantity is in reality, let us repeat, 

 nothing else than intensive quantity, which is the recip- 

 rocal of quantity in its aspect of extent. 



But again, the abstract formula, 1x1 = 1, not only 

 seems unquestionable. It is unquestionable from two 

 points of view. The first is that point of view (the usual 

 one) from which the formula is taken in its purely ab- 

 stract sense. In pure or formal mathematics the express- 

 ion: Ixl=l 2 =l is faultless. On the other hand, the 

 second point of view is that in which unity is taken in its 

 richest, most concrete significance. From this point of 

 view it is equally unquestionable that the absolutely per- 

 fect unit, the total, self-sufficing Energy, maintains its 

 eternal self-equality by the faultless continuity of its 

 fusion, its combination, its multiplication of itself with 

 itself. And here indeed the formula is no longer 1x1 = 

 l a =l;but 1x1 = 1 a =1. 



