344 APPENDIX 13. 



rity has ratified the groat philosopher s &quot; Scala Intellectus,&quot; 

 it is riot tor nio to say. Some few Sciences would seem to ad 

 mit of such an arrangement ; hut this would not seem to 

 be so much for discovery, as for after-use. But, generally 

 speaking, genius still has play, and Sciences and Arts grow by 

 far different methods than this formal system : and had Bacon 

 lived to see (e.g.) the path of Chemistry and its methods of 

 discovery, he would have repeated the noble words which con 

 clude the First Book of the Novum Organon, &quot; nos. qni meu- 

 tem rcspicimus. mm tantnm in facilitate propria, sed qnatenus 

 copulatur cum rebus, Artan iiu enicntfi cum iuvcntix adole- 

 scere ])o$*c statuere dcbemus.&quot; 



It is just worth noticing that in one place in the Nov. Org. 

 (II. 2&quot; ad tin.) Bacon, in speaking of the Mathematical Axiom, 

 &quot; things which are equal to the same thing are equal to one 

 another,&quot; calls it a l j otit/&amp;lt;(f&amp;lt;-. so marking off most definitely 

 his usage of the term Axiom from the Mathematical usage. 



APPENDIX B, 



ON THE ANCIENT SYSTEM OF LOGIC. 



As Induction is expressly treated by Aristotle and the older 

 Logicians as a variation of the Syllogistic Method, the whole 

 discussion of the Ancient Logic may at first be conveniently 

 narrowed to a consideration of that process; especially as I 

 shall have occasion to refer to Ancient Induction as com 

 pared with Modern, in Appendix 1). It is not necessary to 

 say much as to that view of the Syllogistic Process, popular 

 once, but now abandoned, which regarded it as a Method for 

 the systematic discovery of Truth. This &quot; brandishing of Syl 

 logisms,&quot; as Locke terms it, this exorcism of Nature by means 

 of formulas, has passed away ; and the defenders of Syllogism 

 now stay themselves upon the position that &quot; Logic, though it 

 gives us no new Truths, still helps and directs us while we are 

 engaged upon the consideration of things. This is the old 



