Syllogism — Ladies, beautiful, honest, sensitives (multi-step reasoning): Statements: • Some ladies are beautiful. • Some beautiful are honest. • All honest are sensitives. Conclusions: 1) Some sensitives are beautiful. 2) Some honest are ladies. 3) Some sensitives are ladies.

Difficulty: Medium

Correct Answer: Only Conclusion 1 follows.

Explanation:


Introduction / Context:
This question chains one existential and one universal premise. The central caution is that “some” subsets named in different premises need not refer to the same individuals unless explicitly connected.


Given Data / Assumptions:

  • ∃ (Lady ∩ Beautiful).
  • ∃ (Beautiful ∩ Honest).
  • Honest ⊆ Sensitive.


Concept / Approach:
From “Some Beautiful are Honest” and “All Honest are Sensitives,” we can conclude that at least one entity is both Beautiful and Sensitive. That certifies Conclusion 1. However, nothing requires any Lady to be among those particular Honest or Sensitive individuals.


Step-by-Step Evaluation:
1) Take an element from Beautiful ∩ Honest (guaranteed by the second premise).2) Map it via Honest ⊆ Sensitive to get Beautiful ∩ Sensitive — proving Conclusion 1.3) Conclusion 2 would require an overlap between Honest and Lady; this is not guaranteed by the premises.4) Conclusion 3 would require an overlap between Sensitive and Lady; again, not guaranteed.


Common Pitfalls:
Conflating separate “some” groups or assuming transitive overlap among existentials without evidence.


Final Answer:
Only Conclusion 1 follows.

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