In "A Puzzle about Time and Thought' Saul Kripke published a new paradox. The paradox is clearly a relative of Russell's paradox; but it deploys, as well as the notion of set, an intentional notion, thought. This ensures that it raises significantly different issues from Russell's paradox. Notably, the solution to Russell's paradox provided by ZF does not apply in any obvious way to this paradox.In this paper I will first explain Kripke's paradox and compare it with another paradox which deploys the notion of thought. I will then show that it fits the Inclosure Schema, and so may be expected to have a solution which is the same as other inclosure paradoxes. Next, the paradox is stripped down to a much more acute form. Finally, in the light of this, some thoughts concerning possibilities for resolving the paradox are offered.