LessonsConjunctive Syllogisms with Conditional PropositionsQuiz

إما كل أ ب، أو كل ج د
Either every A is B, or every C is D.

This is a disjunction whose alternatives are categorical propositions. The operative question is not how often “all” occurs but how the two alternative assertions are related.

When a second disjunctive premise further constrains one alternative, any new alternative in the conclusion must be established by an appropriate valid inference.

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A conjunctive syllogism from disjunctions

Conjunctive Syllogisms with Conditional Propositions

إما كل أ ب، أو كل ج د
Either every A is B, or every C is D.

This is a disjunction whose alternatives are categorical propositions. The operative question is not how often “all” occurs but how the two alternative assertions are related.

When a second disjunctive premise further constrains one alternative, any new alternative in the conclusion must be established by an appropriate valid inference.