of some Doctrines of Political Economy. 193 



rise of — in the price of goods produce a rise of — in wages 



(not so much as—, because only a part, say-, of the labourer's 

 consumption is manufactures;) and so on. Then it is manifest 

 that the whole rise in wages is ,-— + -;: + -^-, &c. and that the 



" 10 40 loo 



whole rise in goods is — -- + —- + — — , &c. And the simplest prin- 



20 oO 320 



ciples of systematic arithmetic informs us, that these are not 

 quantities having " no assignable limit," but that according to 



.4 



these suppositions, the whole rise of wages \\\\\ be — , and the 



whole rise of manufactured goods — . And if the result of these 



suppositions had been determined by expressing the conditions 

 algebraically, we should have had the same result directly and 

 immediately, without even the process which we have had to in- 

 troduce, of summing a geometrical series*. 



3. It is clear that the proper remedy for such mistakes into 

 which even acute and ingenious men may be led, not knowing 

 or not using mathematical rules, is to make all such calculations 

 the business of a .systematic jjrocess, which from its nature, cannot 

 neglect any proper numerical considerations, or leave the accuracy 

 of the result questionable. Such a .system of calculation must 

 of course borrow the elements and axioms which are its materials, 

 from that higher department of the science of Political Economy, 

 which is concerned with the moral and social principles of men's 

 actions and relations. These materials thus received, stated in 

 the simplest manner, must be subjected to the processes of a 

 ])roper calculus, and we may thus obtain all the results to which 



* Tliis calculation will be given at the end of the paper. 

 Vol. III. Part I. Bb 



