# Is there a transitive set which is not inductive?

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

-

## 2 Answers

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

-

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

-
(Sorry, Asaf. I couldn't resist.) –  Trevor Wilson Oct 2 '13 at 15:46
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