Question

Statement: All poets are sensitive people. Some sensitive people are not artists.
Conclusion I: Some poets are not artists.
Conclusion II: Some sensitive people may be poets.
Choose the correct option:

• A. Only Conclusion I follows.
• B. Only Conclusion II follows.
• C. Both conclusions follow.
• D. Neither conclusion follows.

Hint:

• Use Venn diagrams to visualize relationships in syllogisms.
• "All A are B" implies "Some B are A" (assuming A is not an empty set).
• A conclusion must necessarily follow from the statements. If you can find a scenario where the statements are true but the conclusion is false, then the conclusion does not follow.

Answer 1

The Correct Option is B

Let P = Poets, S = Sensitive People, A = Artists. Statement 1: All P are S (All poets are sensitive people). This means the set of poets is entirely within the set of sensitive people (P $\subseteq$ S). Statement 2: Some S are not A (Some sensitive people are not artists). This means there's an overlap between sensitive people and those who are not artists.
Conclusion I: Some poets are not artists. From the given statements, we know all poets are sensitive. We also know some sensitive people are not artists. However, the poets (who are all sensitive) could all be among the sensitive people who *are* artists. There is no direct information linking poets to non-artists. For example, the set of poets could be a subset of sensitive people who are also artists. Thus, Conclusion I does not necessarily follow.
Conclusion II: Some sensitive people may be poets. Since "All poets are sensitive people," it implies that if poets exist, they are a subset of sensitive people. Therefore, some sensitive people are indeed poets (specifically, those individuals who are poets). The term "may be" further strengthens this, as it indicates possibility, which is certainly true based on the first statement (if poets exist, then those sensitive people who are poets exist). This is a valid conversion (by limitation) of "All P are S" to "Some S are P", assuming poets exist.
Therefore, only Conclusion II follows.