What Tim Can and Cannot Do: A Paradox of Time Travel Revisited

Abstract

Abstract Time travel, it has been argued, leads to paradoxes, and in particular to a problem known as the grandfather paradox. Lewis has famously argued for the now standard view that the grandfather paradox is merely apparent. But underlying Lewis's solution is a faulty account of ability statements - one, according to which ability statements express possibility statements. I argue, contrary to Vihvelin and others, that an ameliorated view of ability statements allows for the same treatment of the seeming paradox. Hence, Lewis's take on the grandfather paradox stands despite the failure of the particular view of ability statements it is built upon.