The purpose of this article is to examine some Wittgenstein's and Gödel's contributions to the philosophy of mathematics. The author holds Gödel doesn't criticize Wittgenstein because what the last one asserts doesn't apply to Gödel's Theorem, whose result is, strictly speaking, not mathematical but an application of them. On the contrary, Wittgenstein explains Gödel's work, perhaps by exclusion and in a better way than Gödel's partisans. So, there is no refutation of Gödel's Theorem; Wittgenstein just points towards a limit of human thought which would be superseded by new formalisms, new developments in Wittgenstein's philosophy of mathematics, and better accounts of Gödel's Theorem.