LessonsThe Second Figure: Conditions of Validity and Four Productive MoodsQuiz

Minor: All students are humans.
Major: All teachers are humans.

Both premises allow overlap between the two classes, but they also allow them to be separate. The premises do not determine how students and teachers relate to one another.

Thus they entail neither “All students are teachers,” nor “No students are teachers,” nor even “Some students are teachers.” Two affirmative premises are unproductive in the second figure.

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Why two affirmative premises fail

The Second Figure: Conditions of Validity and Four Productive Moods

Minor: All students are humans.
Major: All teachers are humans.

Both premises allow overlap between the two classes, but they also allow them to be separate. The premises do not determine how students and teachers relate to one another.

Thus they entail neither “All students are teachers,” nor “No students are teachers,” nor even “Some students are teachers.” Two affirmative premises are unproductive in the second figure.