The work that helped to determine Paul Feyerabend's fame and notoriety, "Against Method," stemmed from Imre Lakatos's challenge: "In 1970 Imre cornered me at a party. "Paul", he said, "you have such strange ideas. Why don't you write them down? I shall write a reply, we publish the whole thing and I promise you - we shall have a lot of fun." Although Lakatos died before he could write his reply, this text reconstructs his original counter-arguments from lectures and correspondence previously unpublished in English, allowing us to enjoy the "fun" two of this century's most eminent philosophers had, matching their wits and ideas on the subject of the scientific method. The text opens with an imaginary dialogue between Lakatos and Feyerabend, which Matteo Motterlini has constructed, based on their published works, to synthesize their positions and arguments. Part one presents the transcripts of the last lectures on method that Lakatos delivered. Part two, Feyerabend's response, consists of a previously published essay on anarchism, which began the attack on Lakatos's position that Feyerabend later continued in "Against Method."The third and longest section consists of the correspondence Lakatos and Feyerabend exchanged on method and many other issues and ideas, as well as the events of their daily lives, between 1968 and Lakatos's death in 1974.