CHAP. III.] DERIVATION OF THE LAWS. 51 



opposites, or, as it is technically said, by dichotomy. Now if the 

 equation in question had been of the third degree, still admitting 

 of interpretation as such, the mental division must have been 

 threefold in character, and we must have proceeded by a species 

 of trichotomy, the real nature of which it is impossible for us, 

 with our existing faculties, adequately to conceive, but the laws 

 of which we might still investigate as an object of intellectual 

 speculation. 



16. The law of thought expressed by the equation (1) will, 

 for reasons which are made apparent by the above discussion, be 

 occasionally referred to as the " law of duality." 



E 2 



