'Facts remain robust only when … supported by a common culture,' observes Bruno Latour. Current debates over the veracity of climate change are, in actuality, crises of facts. Questions of facticity have, moreover, precipitated a deeper issue -- the prospects of unshared, 'alternative' worlds. Climate science believers have one world, climate change deniers another, creating what Latour calls 'epistemological delirium.' Following Latour, the paper turns to Pierre Hadot's description of Stoic physics and understanding of philosophy as "spiritual exercise." Finally, taking up both Latour's claims of 'alternative worlds' and Hadot's notion of "spiritual exercise," this paper explores the possibilities of shared practices in light of unshared realities.