Artworks at Lascaux and other late Palaeolithic caves integrate geological features or “relief” of the cave wall in a way that suggests a symbiotic relation between nature and culture. I argue this qualifies as “receptivity to a situation,” which is neither fully active nor merely passive and emerges as a necessary element of the intentions made apparent by such cave art. I argue against prominent interpretations of cave art, including the shamanist account and propose a structural interpretation attentive to particular (...) cases. Seen in this way, cave art displays intentions that are analyzable as having a tripartite structure: mentally directed, embedded in actions and receptive to a situation. Moreover, the latter is the medium through which the other two elements are conjoined. Drawing on a range of archaeological and philosophical resources from both analytical philosophy and phenomenology, I argue that what I call cave art’s “intentional story” is important for the philosophy of intentions more generally. (shrink)