This paper begins with a simple accusation: that the public intellectual has abandoned the streets and activism in favour of comfy armchairs and apolitical stances. Further still, this paper explores the innate contradictions of multinational climate change agreements like the 2015 Paris Agreement; I instead argue for the necessity of a radical and violent response to the failure of the Fossil Economy to solve its problem. It proposes the concept of "postcapitalist intellectuals" as both writers and active participants in a climate vanguard. This concept is explored by examining the historical failures of leftist revolutions: France, May 1968; Allende's Chile, 1973; and most importantly, the present and looming climate catastrophe. To evaluate these failures, this essay synthesises Jean-François Lyotard’s 1974 Libidinal Economy and Mark Fisher’s unpublished theories from “Acid Communism” and Postcapitalist Desire. These texts inform the formation of the “postcapitalist intellectual”.