# Is there a transitive set which is not inductive?

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

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