In this paper, I offer a novel, conservative solution to the puzzle of Tibbles the cat. I do not criticize the existing solutions or the theories within which they are embedded. I am content to offer an alternative, one that relies on the recently resurgent doctrine of Aristotelian essentialism. My solution, unlike some of its competitors, is applicable to the full range of cases in which, as with Tib and Tibbles, there is the threat of coinciding objects. In section 1, (...) I present the solution. In sections II-IV, I defend it against four objections. (shrink)