A (1) _Given: A syllogism in Darapti_ A I M G A All true teachers are just, M S A All true teachers are sympathetic, S G I ∴ Some sympathetic persons are just. A The symbols indicate that the mood is A or is in Darapti and that this I mood is used in the third figure. A _Problem_: To reduce A of the third figure to some mood of the first I figure. _Process_: D, being the initial letter of Darapti, suggests that its mood must be reduced to one indicated by a word of the first figure A whose initial letter is D. This mood is in Darii, or is I. I The _p_ in Darapti indicates that the proposition represented by the preceding vowel must be converted by limitation. This proposition is the minor premise; converting it by limitation gives: “Some sympathetic persons are true teachers.” As there are no other significant letters the reduction is complete and we have this: M G A All true teachers are just, S M I Some sympathetic persons are true teachers, S G I ∴ Some sympathetic persons are just. A The symbolization indicates that the mood is I of the first figure, or I is in Darii. A (2) _Given: A syllogism in Camestres_ E E G M A All true teachers are just, S M E No one who shows partiality is just, S G E ∴ No one who shows partiality is a true teacher. The symbols show that the mood is AEE of the second figure or in Camestres. Judging from the initial letter C, the mood in Camestres E must be reduced to the mood in Celarent A. E The letter m between a and e indicates that the major and minor premises of the given syllogism must be interchanged. The letters following both e’s suggest that the minor premise and the conclusion of the syllogism must be converted simply. This is the resulting syllogism: M G E No just person shows partiality, S M A All true teachers are just persons, S G E ∴ No true teacher shows partiality. E Here, then, is the A of the first figure or the mood in Celarent. E