Syllogism – Two subsets of the same superset (Angels): Statements: (a) Some humane creatures are angels. (b) All doctors are angels. Conclusions: I) Some humane creatures are doctors. II) Some doctors are humane creatures.

Difficulty: Medium

Correct Answer: Neither I nor II follows

Explanation:

Introduction / Context:We have two sets both lying inside Angels. Without a statement linking them, overlap is not guaranteed.

Given Data / Assumptions:

  • ∃ Humane ∩ Angels.
  • Doctors ⊆ Angels.

Concept / Approach:(I) requires Humane ∩ Doctors ≠ ∅; (II) requires the same intersection but stated from the other side. Neither is forced purely from both being inside Angels.

Step-by-Step Solution:Model A: Place Humane∩Angels disjoint from Doctors within Angels. Then I and II both fail while premises hold.Because countermodels exist, neither conclusion is necessary.

Verification / Alternative check:Venn depiction with Angels as the universe, one region for Doctors, another for Humane∩Angels, non-overlapping.

Why Other Options Are Wrong:They presuppose overlap not warranted by the premises.

Common Pitfalls:Inferring intersection from shared superset membership.

Final Answer:Neither I nor II follows.

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