Chap.III. - ANTIENT METAPHYSICS. 8i 



roc, and very properly, as it comprehends all things in the univerfc. 

 This work Ariftotle has given us in his Logic, under the title of 

 KaT?;y;f<«<, as comprehending all the Praedicates of Propofiiions, 

 which are the fubje£t of his logic. I have faid a great deal clfe- 

 where in praife of this work of Archytas : But I will add here what 

 is perhaps the greateR praife of this work ; that it gives us a fyllem 

 of the univerfe, and of the whole of things, of which otherwife we 

 could have no comprehenfion; and, at the fame time, it fets bounds 

 to the univerfe, which would be infinite if the genufes of things 

 could not be numbered. 



But it is not fufficient that a fyftem have bounds and limits; fcK: 

 its parts muft be conneded together, fo as to make a whole. Now, 

 this, as I will fhow, is the cafe of the univerfe in a moft eminent de- 

 gree. And, firft, as to the conne<£lion of the genufes with one ano- 

 ther. And I fay the higher genus both contains and is contained in 

 the lower genus, which is the moft intimate connedlion that can be 

 imagined betwixt two things ; — fo intimate, that it appears at firft 

 fight to be impoflible ; but when explained it will appear to be truly 

 the cafe : For the higher genus contains virtually the lower genus, 

 which is produced out of it ; and the lower genus muft of neceffity 

 contain the higher genus aElually. — Thus animated body^ or the ra 

 ijx-^v-^Q')^ does virtually contain the genus animal^ which proceeds 

 from it; and, on the other hand, anijnal va.w^ coviX.'dAVL aBually \.\\z 

 TO i^A.-'^^vyov, otherwife it would not be animal. In this manner 

 body contains virtually both animated body and animal, and is a^ual- 

 ly contained in them ; and in the fame manner alfo all the three, 

 animal, animated body, and body, are contained in the firft of the Ca- 

 tegories, \'\z. fiibjliince; while, at the fame time, Subftance is aBiially 

 contained in each of the three. It is in this way that each of 

 the ten Categories virtually contains all the genules that are fubor- 

 dinate to it, and is actually contained in each of them : So that 



Vol. VI. L here 



