I thought I had a solution to Sleeping Beauty, involving utilities—which I then realized after looking it up is just ata’s solution rediscovered—but then reading this I was enlightened. Decision theory shows us how we ought to behave in order to maximize the expected utility of our future self, but the question of “which self we are” afterward is entirely ill-posed. Very interesting!
I thought I had a solution to Sleeping Beauty, involving utilities—which I then realized after looking it up is just ata’s solution rediscovered—but then reading this I was enlightened. Decision theory shows us how we ought to behave in order to maximize the expected utility of our future self, but the question of “which self we are” afterward is entirely ill-posed. Very interesting!