While some argue that the only way to make a place for Philosophy for Children (P4C) in today's strict, standardised classroom is to measure its efficacy in promoting reasoning, we believe that this must be avoided in order to safeguard what is truly unique in P4C dialogue. When P4C acquiesces to the very same quantitative measures that define the rest of learning, then the philosophical dimension drops out and P4C becomes yet another progressive curriculum and pedagogy for enhancing argumentation skills that can easily be appropriated by any content area. What we want to offer in this article is a reevaluation of P4C that remains faithful to a radical kernel that we find when we do philosophy with children and young adults. To theorise the potential for P4C, we draw heavily on Agamben's work, and in particular his reflections on speech and infancy. We propose that the redemption of P4C necessitates a shift from a community of inquiry (as the dialogic pedagogical model underlying P4C) to a community of infancy. Such a community is not a community that operates according to predefined rules or standardised assessment protocols but rather is an inoperative community that is defined by letting ends idle. On our account, a community of infancy is an example of dialogic studious play that is neither ritual nor just play, thus avoiding the extreme polarities of the ritualised classrooms of high-stakes testing and the "ludic" postmodern classroom of free play. What is at stake here is to preserve the last vestige of freedom within the school.