Syllogism – One particular and one universal: Statements: • Some phones are watches. • All watches are guns. Conclusions: I) All guns are watches. II) Some guns are phones.

Difficulty: Easy

Correct Answer: Only II follows

Explanation:


Introduction / Context:
An existential (“some”) combined with a universal inclusion often yields a guaranteed “some” about the superset.



Given Data / Assumptions:

  • ∃ Phone ∩ Watch.
  • Watch ⊆ Gun.


Concept / Approach:
The particular witness that is both Phone and Watch must also be a Gun. Hence “Some guns are phones” (II) is necessary. Claim (I) reverses the universal and is not supported.



Step-by-Step Solution:
Pick x ∈ Phone ∩ Watch (exists).Since Watch ⊆ Gun, x ∈ Gun.Therefore x ∈ Phone ∩ Gun, proving II.



Verification / Alternative check:
No model can satisfy the premises and negate II, because the existential passes through the inclusion.



Why Other Options Are Wrong:
(I) claims Gun ⊆ Watch, which is not given.



Common Pitfalls:
Illicit conversion of universals.



Final Answer:
Only II follows.

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