LessonsQiyās al-Khalf: Compound Reductio, Impossibility and Proof of the ClaimQuiz

بعض الإنسان ليس بحيوان
Some human is not an animal.

This is the contradictory of “Every human is an animal.” A universal affirmative is contradicted by a particular negative, asserting at least one exception.

“No human is an animal” is a universal negative, not the formal contradictory of the original universal affirmative. Confusing these forms spoils the first step of reductio.

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The correct contradictory in the example

Qiyās al-Khalf: Compound Reductio, Impossibility and Proof of the Claim

بعض الإنسان ليس بحيوان
Some human is not an animal.

This is the contradictory of “Every human is an animal.” A universal affirmative is contradicted by a particular negative, asserting at least one exception.

“No human is an animal” is a universal negative, not the formal contradictory of the original universal affirmative. Confusing these forms spoils the first step of reductio.