354 APPENDIX I). 



Deductively. 



11 \ r A 



All creatures without gall J (. longlived. 



c i r B 



The horse. &c. J \ a creature without gall. 



c ^ r A 



The hor-M 1 . &c. J (_ loiighved. 



This Indnctivelv will he 



( j A 



The hors t &amp;gt;. as&amp;gt;. mule. man. c. longlived 



&amp;gt; are &amp;lt; // the animals 

 1 he horse, ass. mule. man. c. j [ with()(lt ga u. 



M | , m . r A 



All thf animals without ^all \ longlived. 



And in another place Aristotle confirms this principle of simple 

 enumeration l&amp;gt;v sayini;, on nav oiJrco? oi /j./;8^f aAAcos i. e. em 

 nihil occurrit in contrarium.&quot; Anal. Post. Il.vii. i. 



This is the Ancient Induction: a Syllogism in the Third 

 Figure with a necessary condition attached, which, strictly 

 speaking, takes it out of the domain of Lo^ie altogether. 



This is very different from the Scholastic Induction which 

 Aldrich, or that which Ahp. Wliately have tried to explain. 

 Aldrich s Induction is &quot; Syllogismus cujus Minor reticetur&quot;- 

 a sort of Knthymemc : and the Minor is the assumption hy the 

 mind that the eases hefore us may stand for all cases. He 

 thus throws Induction into tt&amp;lt;irl&amp;gt;am and reduces it to precise 

 Logical laiiua&amp;lt;re. I presume that the meaning of his method 

 of analysis is simply this that having gathered certain in 

 stances, we ohscrve that a certain quality is attached to each 

 O f them &quot; Hie et iste et ille magncs trahit ferrum&quot; and then 

 we assume that till tlu; contrary is proved in any instance, this 

 quality may he believed to he present in all eases ; i.e. ; Omnis 

 magncs cst hie et iste et illc: Ergo ; omnis magncs trahit ferrum.&quot; 



This is then, practically, a somewhat altered way of regard 

 ing Ancient Induction : hut is still really &quot; per enumerationem 

 simplicem&quot; of all known cases. 



Ahp. Whately holds that Induction is a Syllogism in Bar- 



