An exploratory discussion. Call a desire “finitisic” if some conceivable eventuality would fulfil it completely (so that no conceivable eventuality would fulfil it more). That flexibility of behaviour distinguishing the animate from the mindless is accounted for fundamentally by supposing ultimate motivation all infinitistic and outweighable. Decision-making by the counterpoise of such motivation contrasts with algorithmic thinking; and this suggests a non-computational view of mentation, a compatibilist understanding of creative imagination, and (with some additional conceptions) a possible definitional avenue for breaking the circle of intentionality.