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Are these arguments valid or invalid? Please explain Why!?

Are these arguments valid or invalid? And please explain why so that I understand!

Premiss 1: All seniors are talented (False)

Premiss 2: All talented people are ugly (False)

Conclusion: All seniors are ugly (False)

Premiss 1: All ugly people are seniors (False)

Premiss 2: All seniors are insightful (False)

Conclusion: All ugly people are insightful (True)

Premiss 1: All ugly people are insightful (True)

Premiss 2: All talented people are ugly (False)

Conclusion: All talented people are insightful (True)

2 Answers

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  • 9 years ago
    Favorite Answer

    All of them are invalid, because they are a matter of opinion.

    "Talented" and "Ugly" are words of opinion. Your opinion of talent, may differ from someone elses.

    "All talented people are insightful" (False) - Insightful to me is wise, what is your definition of talent- Someone with alot of abilities? It really all differs to each individual and how they precieve the word.

  • 9 years ago

    Try inverting the logic for the premises and then see what that does to the conclusion. If it does not change the conclusion, then the premise is invalid.

    I'll do the first one:

    P1: All seniors are talented (True)

    P2: All talented people are ugly (True)

    C: All seniors are ugly (True) (why? Because seniors are talented and talented people are ugly)

    However, because those premises are false and not true, then one cannot make the statement that ALL seniors are ugly. So the first one is valid.

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