3 oo 



ELEMENTS OF SCIENCE 



fluous, because the former is contained in AAA and the 

 latter in EAE. 



These four valid moods may be thus represented. 



FIG. 59. 



The last of the four moods of the first figure will run : 



No M is A. 



Some B is M. 



Therefore some B is not A. 



There are two rules for syllogisms of the first figure. 



(1) The major premiss must not be a particular pro- 

 position. 



(2) The minor must not be negative. 



