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

أحدهما اقتراني شرطي مركب من المتصلتين
The first is a connected hypothetical syllogism composed of two conditional propositions.

Suppose the original claim is A. One condition links the denial of A to a contradictory state; another says that state entails an impossibility.

Connecting the conditionals yields: If not-A holds, an impossibility follows. This conditional relation is the conclusion of the first syllogism.

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First stage: two connected conditionals

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

أحدهما اقتراني شرطي مركب من المتصلتين
The first is a connected hypothetical syllogism composed of two conditional propositions.

Suppose the original claim is A. One condition links the denial of A to a contradictory state; another says that state entails an impossibility.

Connecting the conditionals yields: If not-A holds, an impossibility follows. This conditional relation is the conclusion of the first syllogism.