Handbook of the History of Logic: - Fordham University Faculty

662 Petr Dvoˇrák
As has been said, apart from pure and mixed relational syllogisms in which the
oblique statements were of the type called postposition, Caramuel now gives valid
moods in all four figures of mixed relational syllogisms where the oblique statements
are prepositions. 40 Recall that while postposition places the oblique term,
connotatus, into the predicate position (of the principal predication, one might
say, although postpositions do not contain any other predication, “principal” thus
being redundant), preposition, containing embedded predication attached to the
subject, places connotatus into the predicate position of the embedded predication.
The numbering (and naming) of the moods is taken from postpositional mixed syllogisms.
Caramuel points out the moods in which the change from postposition
to preposition results in the mood being invalid. Some prepositional moods do
not have correlates in postpositions. Consequently, they are listed without any
number. By way of an example, let us present the prepositional moods only in the
Platonic figure, since the postpositional moods in the same figure are given above:
M ...invalid (malus)
B . . . valid (bonus)
P . . . dangerous (periculosus)
1. aa*a.ai* M 24. ein*a.ai* M
2. aa*a.ii* 25. ein*a.ein* M
3. ae*a.ain* M - ein*a.ei*n M
4. ae*a.ea* 26. ein*a.ii*
- ae*a.ae* 27. ia*a.ii*
5. ae*a.iin* 28. ian*a.iin* B
6. ae*a.ina* - ian*a.ii*n M
7. ai*a.ai* M 29. ian*a.ina*
8. ai*a.ein* 30. ina*a.iin* B
9. ai*a.ii* - ina*a.ii*n M
10. ai*a.iin* P 31. ie*a.iin*
11. ain*a.ain* - ie*a.ii*n M
12. ain*a.ea* 32. ie*a.ina* M
13. ain*a.ina* 33. ine*a.ine*
14. ea*a.ain* M 34. ine*a.ii*
15. ea*a.ea* 35. ien*a.ii*
16. ea*a.iin* M 36. ii*a.ii*
- ea*a.ii*n B 37. iin*a.iin* B
17. ea*a.ini* - iin*a.ii*n M
18. ee*a.ai* M 38. ina*a.iin* B
19. ee*a.ee* - ina*a.ii*n M
40 Caramuel treats the prepositional relational syllogism in LO, Pars II, disp. XII De Praepositivo
Obliquorum Genere, pp. 458-464.