338 THE SCIENCE OF LOGIC 



(2) Bramantip is thus reduced to Barbara (B) : 

 P a M^^ j*M a S 



That is to say, we merely transpose the original premisses (m) 

 in order to get a syllogism in Barbara with conclusion PaS, 

 which must be converted per accidens (/&amp;gt;) to give the original 

 conclusion, S i P. 



(3) Fesapo is thus reduced to Ferio (F) : 



P e M - &amp;gt; M e P 



M a S ~ &amp;gt; 5 i M 



S o P S o P 



That is, we convert the major simply (.$), and the minor per 

 accidens (f\ in order to obtain a syllogism in the first figure. 



(4) Darapti is thus reduced to Darii (D] : 



M a P - &amp;gt; Ma P 



MaS~ &amp;gt;SiM 



S i P S i P 



That is, we obtain the same conclusion by Darii if we convert 

 per accidens (p} the minor premiss of Darapti. 



(5) Baroco (Faksoko] is thus reduced directly to Ferio (F) : 



Pa M - &amp;gt; M e P 



S o M - &amp;gt; S iM 



3 o P S o P 



That is, we obtain the same conclusion in Ferio by contraposition 

 (ks) of the major premiss and obversion (k) of the minor premiss 

 of a syllogism in Baroco (Faksoko}. 



(6) Bocardo (Doksamosk) is thus reduced directly to Darii 

 (D): 



M o P^^ ^M a S 



_ 

 S o P P i S 



S oP&amp;lt; - Si P 



That is, we transpose ,the premisses (m\ contraposing (ks) the 

 original major ; this gives us a syllogism in Darii with conclusion 



