In this article, I introduce the concept of the triple transformation, which ensues from my examination of What is Philosophy? by Gilles Deleuze and Félix Guattari. The concept applies to the philosopher's intuitive method, it defines more precisely his or her activity that consists of creating concepts in order to bring forth new events. This activity cannot be carried out by merely turning the thought of opinion, which shapes our ordinary lived experience, to philosophical concepts. The exercise and experience of the creative thinking of philosophy implies a liberation from the constraints of opinion, by way of a triple transformation. I address the triple transformation from two different perspectives: first, in connection with the emergence of philosophy in ancient Greece with regard to Plato as a member of the democratic city-state of Athens; second, with regard to an individual subject in its own right, to its brain or mind.