Which fallacy occurs when the premises are affirmative but the conclusion is negative?

Prepare for the Traditional Logic Memoria Press Test. Optimize your learning with flashcards and in-depth explanations to boost your exam readiness.

Multiple Choice

Which fallacy occurs when the premises are affirmative but the conclusion is negative?

Explanation:
In categorical reasoning, you can’t validly infer a negative conclusion from two affirmative premises. If you have statements like “All A are B” and “All C are A,” the logical consequence is that all C are B—an affirmative relationship. Jumping to “No C are B” asserts there is no overlap between C and B, which directly contradicts what the premises actually entail. This misstep—drawing a negative conclusion from affirmative premises—is the fallacy at play. For example: All poets are artists. All artists are humans. Therefore, no poets are humans. The premises actually require poets to be humans, so concluding that none are humans is invalid.

In categorical reasoning, you can’t validly infer a negative conclusion from two affirmative premises. If you have statements like “All A are B” and “All C are A,” the logical consequence is that all C are B—an affirmative relationship. Jumping to “No C are B” asserts there is no overlap between C and B, which directly contradicts what the premises actually entail. This misstep—drawing a negative conclusion from affirmative premises—is the fallacy at play.

For example: All poets are artists. All artists are humans. Therefore, no poets are humans. The premises actually require poets to be humans, so concluding that none are humans is invalid.

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