A syllogism consists of three categorical propositions and contains three terms each of which appears in propositions. Key Points Mood depends upon the type of propositions (A, E, I, O). Propositions From Example A All S is P All barbers are Musicians E No S are P No Musicians are Italians I Some S are P Some Musicians are barbers O Some S are not P Some women are not Italians Valid Forms: There are 15 combinations of mood and figure that are valid from the Boolean standpoint. Figure Mood First Figure AAA,EAE,AII,EIO Second Figure EAE,AEE,EIO,AOO Third Figure IAI, AII, OAO, EIO Fourth figure AEE,IAI,EIO For example, No musicians are Italians ( E ) All barbers are Musicians (A ) Therefore, No barbers are Italians ( E ) Based on the above chart mood of argument is EAE. Thus, the Mood of the argument is EAE. The figure depends on the arrangement of the middle term in the proposition. There are four types of figures in syllogism which are mentioned below: First figure Second figure Third figure Fourth figure M-P P-M M-P P-M S-M S-M M-S M-P S-P S-P S-P S-P Whereas M is Middle Term, S is Subject, P stands for Predict. No musicians are Italians, whereas musicians are middle Term and Italians are Predict All barbers are Musicians, whereas barbers are subjects and musicians are middle term Based on the position of the middle term in the argument this belongs to First Figure. Therefore, E A E ‐ I is correct.