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Is there a transitive set which is not inductive? Appreciate any advice , thank you.

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up vote 1 down vote accepted

$\{\varnothing\}$ is not inductive. Can you see why?

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$\varnothing$ is not inductive. Can you see why?

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(Sorry, Asaf. I couldn't resist.) –  Trevor Wilson Oct 2 '13 at 15:46
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Assuming the pattern continues, this implies that $-1$ is not inductive... Can you see why? ;) (Sorry Trevor, I couldn't resist) –  user18921 Oct 2 '13 at 15:51
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