We offer here a metaphor of the university as an "infinite game" in which we bring to life insight, imagination, and radical inclusion; and resist the "finite games" that can lead us astray. We suggest that keeping the infinite game alive within universities is a much-needed form of academic activism. We offer four vignettes that explore this further: our responsibility to be "critic and conscience of society" and how that responsibility must also turn inwards onto our own institution, the dilemmas of being a woman with leadership responsibilities in an institution that proudly shows off its "top girls," the opportunities we have as teachers to "teach the university" and be taught by our students, and the contradictions we face as activist scholars in our relentlessly audited research personas. We draw on the infinite/finite game metaphor, our own affective experiences as tenured academics, and feminist critiques.