It is often recognised that Noam’s transformational generative grammar is a scientific and epistemological revolution, not only in language science, but also in other related disciplines. This work is intended to highlight some aspects of this process and to show some elements to bring this scientific revolution closer together. After an introduction to the problem, it shows what the Chomsky scientific revolution is, following the thesis of Kühn’s scientific revolutions; some of the anomalies in the Normal Language paradigm leading Chomsky to propose a new paradigm are highlighted: The general grammar. It is then pointed out how such a scientific revolution involves an epistemological revolution and, as a last point, attempts to show the methodological revolution that follows from the above. This highlights some elements of reflection that leave open, obuimically, many topics of discussion.