Strict syllogistic form (http://plato.stanford.edu/entries/medieval-syllogism/#1) is how Scholastic philosophers and theologians performed disputations in the Middle Ages.
A syllogism consists of:
- Major premise
- Minor premise
A premise can be a so-called A, E, I, O proposition. From here (http://plato.stanford.edu/entries/square/#Int):
The diagram for the traditional square of opposition (http://plato.stanford.edu/entries/square/image-a.jpg) is:
|A||Every S is P||Universal Affirmative|
|E||No S is P||Universal Negative|
|I||Some S is P||Particular Affirmative|
|O||Some S is not P||Particular Negative|
For more information on Scholastic disputations, see Fr. Thomas Gilby, O.P.'s Barbara Celarent: A Description of Scholastic Dialectic (https://archive.org/stream/barbaracelarent033237mbp#page/n299/mode/2up)
pp. 279 (https://archive.org/stream/barbaracelarent033237mbp#page/n299/mode/2up)-296 (also in the St. Isidore e-book library (https://isidore.co/calibre/browse/book/2905)).
I plan to get a better grasp of strict syllogistic form.