LessonsConditional Propositions: Connectives, Disjunctions and Their Main KindsQuiz

Compare the structures:
1. “It is not true that if Zayd is human, he is a horse.” — denial of the conditional claim.
2. “If Zayd is human, he is not a horse.” — affirmation of a conditional with a negative consequent.

Both concern horsehood, but the scope of negation changes their logical operation. Identifying a negative word is insufficient; we must ask whether it denies the whole conditional connection or belongs inside the consequent.

This becomes important when we later examine quantifiers and truth conditions for conditional propositions.

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Negating a conditional versus a negative consequent

Conditional Propositions: Connectives, Disjunctions and Their Main Kinds

Compare the structures:
1. “It is not true that if Zayd is human, he is a horse.” — denial of the conditional claim.
2. “If Zayd is human, he is not a horse.” — affirmation of a conditional with a negative consequent.

Both concern horsehood, but the scope of negation changes their logical operation. Identifying a negative word is insufficient; we must ask whether it denies the whole conditional connection or belongs inside the consequent.

This becomes important when we later examine quantifiers and truth conditions for conditional propositions.