Statement:\nA man must be wise to be a good wrangler. Good wranglers are talkative and boring.\nConclusions:\nI. All wise persons are boring.\nII. All wise persons are good wranglers.

Difficulty: Easy

Correct Answer: if neither Conclusion I nor II follows

Explanation:


Introduction / Context:
The premises create class relations: (1) good wrangler ⊆ wise; (2) good wrangler ⊆ talkative and boring. We must decide whether the entire class “wise” inherits “boring,” or whether all wise people are good wranglers.


Given Data / Assumptions:

  • Being a good wrangler implies being wise.
  • Being a good wrangler implies being talkative and boring.
  • No statement that all wise are wranglers, or that all wise share the wrangler attributes.


Concept / Approach:
This is a subset logic problem. From A ⊆ B and A ⊆ C, we cannot conclude B ⊆ C or C ⊆ B. Knowing attributes of a subset (good wranglers) tells us nothing about the whole superset (all wise people).


Step-by-Step Solution:
1) I: “All wise persons are boring.” We only know “good wranglers are boring” and that “good wranglers are wise.” Non-wrangler wise persons may or may not be boring → I does not follow.2) II: “All wise persons are good wranglers.” We only have the converse (good wrangler ⇒ wise), not the biconditional. Hence II does not follow.


Verification / Alternative check:
If the premise had said “a man is a good wrangler iff he is wise,” then II could follow; it does not.


Why Other Options Are Wrong:
Any option assuming superset properties from subset properties commits the converse accident fallacy.


Common Pitfalls:
Illicit conversion of subset statements; assuming attributes of a part must characterize the whole.


Final Answer:
if neither Conclusion I nor II follows

More Questions from Statement and Conclusion

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