LessonsThe Fourth Figure: Productive Conditions, Moods and ProofsQuiz

Premises:
No reciter is a stone.
No judge is a stone.

These do not determine whether reciters and judges overlap or are disjoint. Both classes merely exclude stones. Their common exclusion does not establish a relation between them.

Exclusion from a common class differs from establishing a relation between two classes. Two negative premises are not enough to give the intended syllogistic conclusion.

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Why two negatives are insufficient

The Fourth Figure: Productive Conditions, Moods and Proofs

Premises:
No reciter is a stone.
No judge is a stone.

These do not determine whether reciters and judges overlap or are disjoint. Both classes merely exclude stones. Their common exclusion does not establish a relation between them.

Exclusion from a common class differs from establishing a relation between two classes. Two negative premises are not enough to give the intended syllogistic conclusion.