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Quick logic question about euler diagrams?

I tried to prove that the following argument is invalid by drawing a euler diagram here: http://i28.tinypic.com/4goin7.jpg

Are my diagrams correct?

Thanks so much!

ARGUMENT:

No human who is thorough is wrong.

All humans who are wrong are lazy.

Therefore, no humans who are lazy are thorough.

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    Your diagrams are correct, but the argument is invalid. Nowhere does it say that you can't have the red (thorough) and the purple (lazy) overlap - they can, so long as the red circle doesn't cut into the green (wrong) one.

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