Syllogism — Premises: (a) All cupboards are watches. (b) All watches are costly. Inferences: I) All cupboards are costly. II) Some costly things are cupboards.

Difficulty: Easy

Correct Answer: Both of them follow

Explanation:


Introduction / Context:
Two universals create a subset chain. We must judge a universal and an existential inference that naturally arise from that chain.


Given Data / Assumptions:

  • Cupboards ⊆ Watches.
  • Watches ⊆ Costly.
  • Ordinary non-emptiness assumption for Cupboards to validate the existential.


Concept / Approach:
Transitivity yields Cupboards ⊆ Costly, establishing I. If at least one cupboard exists, it is costly, establishing II: 'Some costly things are cupboards'.


Step-by-Step Solution:

Step 1: Cupboards ⊆ Watches and Watches ⊆ Costly imply Cupboards ⊆ Costly.Step 2: Pick any cupboard (non-empty common-sense assumption); it is costly, proving the existential.


Verification / Alternative check:
Venn diagram placement confirms I and supports II with non-emptiness.


Why Other Options Are Wrong:
Options asserting only one or none ignore the straightforward chain.


Common Pitfalls:
Overlooking that an existential conclusion typically follows in exam settings when categories are assumed to exist.


Final Answer:
Both of them follow.

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