Name a method to test syllogistic validity besides memorization.

• A. Attempt to memorize all valid mood/figure combos
• B. Check the mood and figure directly
• C. Diagram the syllogism in a Venn diagram
• D. Use a truth-table analysis

Answer: (C)

The method being tested is using a Venn diagram to test syllogistic validity. This approach treats the three terms as sets and translates each categorical proposition into spatial relations on the diagram. By shading regions or marking what remains possible, you visually constrain how the categories can overlap. After setting up the two premises, you check whether the conclusion must hold in every configuration that fits those premises. If it does, the syllogism is valid; if you can draw a configuration where the premises are true but the conclusion is false, it’s invalid. This gives a clear, immediate check that’s grounded in the way the terms relate to one another in standard categorical logic.

Memorizing mood/figure combos is just rote recall and doesn’t show why a given argument is valid. Checking the mood and figure directly sticks to the form but can be less intuitive and less efficient than a diagram for many learners. Truth-table analysis belongs to propositional logic and requires translating categorical statements into propositional form, which adds steps; the Venn diagram method handles the categorical structure directly.