This article explores how Jean François Lyotard reflects on affect as unrepresentable in relation to contemporary affect theory and specifically post-Deleuzian perspectives and non-representational theories suggesting that we need to invent new theoretical ways of addressing our more-than-textual, multisensual worlds. The essay leans on this conversation to make a political and pedagogical intervention into the terrain of addressing affect in the classroom. It is discussed how Lyotard adds his own contribution to the work of other affect theorists, who are not saying that if we find the right vehicle--literature, art, etc.--we can translate or represent affect, but rather that pedagogy is itself always already an affective event that exceeds representation. Pedagogies of ineffability, as it argued, are those pedagogical practices that do not fall pray into the rhetorics of standardization and homogenization in the name of 'emotional intelligence' or 'effectiveness', but rather invent affective spaces of learning in which educators and students are opened precariously to the unknown.