LessonsThe Second Figure: Conditions of Validity and Four Productive MoodsQuiz

The first two productive moods yield universal negative conclusions; the third and fourth yield particular negative conclusions.

First: all minor instances are within the middle, all major instances outside → no minor is major.
Second: all minor instances are outside, all major inside → no minor is major.
Third: some minor instances are inside, all major outside → some minor are not major.
Fourth: some minor instances are outside, all major inside → some minor are not major.

The conclusion's quantity cannot be stronger than the minor premise warrants.

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Universal and particular negative conclusions

The Second Figure: Conditions of Validity and Four Productive Moods

The first two productive moods yield universal negative conclusions; the third and fourth yield particular negative conclusions.

First: all minor instances are within the middle, all major instances outside → no minor is major.
Second: all minor instances are outside, all major inside → no minor is major.
Third: some minor instances are inside, all major outside → some minor are not major.
Fourth: some minor instances are outside, all major inside → some minor are not major.

The conclusion's quantity cannot be stronger than the minor premise warrants.