Syllogism — Creative, learned, and doctors (subset mapping + existence): Statements: I. Creative persons are learned people. II. Some doctors are creative persons. Conclusions: I. Some creative persons are learned people. II. Some learned people are doctors.

Difficulty: Easy

Correct Answer: I and II

Explanation:


Introduction / Context:
This is a straight composition of a universal inclusion and an existential premise. We both restate a guaranteed overlap and propagate existence through the inclusion.


Given Data / Assumptions:

  • Creative ⊆ Learned.
  • ∃ (Doctor ∩ Creative).


Concept / Approach:
The first conclusion is a direct restatement of the universal: every Creative is Learned, hence (in particular) some Creative are Learned. The second follows by mapping the existing Doctor∩Creative individuals into Learned, yielding ∃ (Doctor ∩ Learned), which is equivalent to “Some learned people are doctors.”


Final Answer:
I and II.

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