Presentism and the Micro-structure of time

The standard account of the micro-structure of time is based on Cantor’s conception of continuity and thus views the time line as consisting of undenumerably many instants ordered by the B-theoretic earlier than relation. This may seem problematic for an A-theory of time such as presentism, according to which only what is present exists, for it seems to leave no room for the instants of a Cantorean time line. This paper defends a version of presentism that can accommodate the Cantorean conception and more generally any approach to the micro-structure of time based on durationless instants.