(8) Hence a conclusion from I and O is untenable. The same may be said of “OI.”
“II” considered.
(1) The I proposition distributes neither subject nor predicate, hence the premises “II” would distribute no term.
(2) But the middle term must be distributed at least once according to rule 3.
(3) Therefore no conclusion can be drawn from “II.”
A valid conclusion from “OO” is impossible according to rule 5.
(8) If one premise be particular the conclusion must be particular. Proof: The possible combinations conditioned by rule 8 are AI, AO, EI, EO, IO, II, OO.
“AI” considered.
(1) Proposition A distributes its subject, proposition I neither; hence “AI” together distribute but one term.
(2) According to rule 3 this one term must be the middle term.