The Growing Block and the Problem of the Continuum

Abstract

The orthodox approach to time states it to be a continuum. In this paper I aim to show that the growing block model poses a unique problem to the continuity of time, on account of it being a hybrid A-B-theory. Tension lies in the fact that a continuous B-theoretical block is built through the A-theoretical becoming of instantaneous slices of present. First, I show that a continuous growing block necessitates a present with zero temporal duration; second, I show that such notion of present rules out some widely accepted B-theoretical solutions to the problem of the continuum, while its commitment to the B-theory rules out some of the A-theoretical ones. Finally, I will discuss possible consequences.