My title links two abstract nouns that are usually set over against each other, seen as contrasting, if not in opposition. The view that informs this paper is that what can usefully be said about creativity is very little, and rather trite; and that it is co-extensive with the rational element in creativity. There may or may not be other than rational elements in creativity; confronted with them, my inclination would be for the first time to invoke Wittgenstein: "whereof one cannot speak, thereof one should be silent." The little I think can be said about the rationality of creativity will be confined to section five. The preceding sections will offer a general critique of the literature, bringing out its poverty and also its irrationality.