LessonsThe Fourth Figure: Productive Conditions, Moods and ProofsQuiz

In figure four, the middle is the subject of the minor and predicate of the major. The text states two routes to productivity: two affirmatives with universal minor, or differing quality with at least one universal. The printed table marks eight arrangements; each proposed conclusion still needs a sound inference.

The core skill is identifying the middle, checking quantity and quality, and either proving the result or providing a counterexample.

The next section, al-iqtirāniyyāt min al-sharṭiyyāt, extends conjunction-based syllogisms to premises containing connected and disjunctive conditionals.

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The transition to conditional syllogisms

The Fourth Figure: Productive Conditions, Moods and Proofs

In figure four, the middle is the subject of the minor and predicate of the major. The text states two routes to productivity: two affirmatives with universal minor, or differing quality with at least one universal. The printed table marks eight arrangements; each proposed conclusion still needs a sound inference.

The core skill is identifying the middle, checking quantity and quality, and either proving the result or providing a counterexample.

The next section, al-iqtirāniyyāt min al-sharṭiyyāt, extends conjunction-based syllogisms to premises containing connected and disjunctive conditionals.