If we eliminate the two negative forms of the minor premise, only two forms remain:
Universal affirmative minor
Particular affirmative minor
Each excluded negative minor could be combined with four major forms, so 2 × 4 = 8 arrangements are eliminated by the first condition.
Eight combinations remain with an affirmative minor, but not every major premise is universal. The second condition removes more.
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The First Figure: Conditions of Validity and Four Productive Moods
If we eliminate the two negative forms of the minor premise, only two forms remain:
Universal affirmative minor
Particular affirmative minor
Each excluded negative minor could be combined with four major forms, so 2 × 4 = 8 arrangements are eliminated by the first condition.
Eight combinations remain with an affirmative minor, but not every major premise is universal. The second condition removes more.