Syllogism — Evaluate: (a) All politicians are intelligent. (b) Some women are politicians. Conclusions: I) Some women are intelligent. II) All intelligent persons are women.

Introduction / Context:The task is to deduce what must be true from two premises linking politicians, intelligence, and women.

Given Data / Assumptions:

• (a) Politicians ⊆ Intelligent.
• (b) Some Women are Politicians (Women ∩ Politicians non-empty).

Concept / Approach:Chain subsets: if some women are politicians, and all politicians are intelligent, then those women are intelligent. Conversely asserting that all intelligent persons are women reverses the direction without support.

Step-by-Step Solution:

Verification / Alternative check:Countermodel for II: there can be intelligent men; II is thus not necessary.

Why Other Options Are Wrong:

• Only II follows: converse error.
• Both follow: II is false.
• Neither follows: I must follow.

Common Pitfalls:Confusing subset direction in universal statements.

Final Answer:Only conclusion I follows.