@glipsnort, highly relevant is this thread, Does Time Really Flow? New Clues Come From a Century-Old Approach to Math.
Though we are discussing the size of the universe, there is a related question as to whether or not true irrational numbers (with infinite digits and infinite precision) actually exist or not. A key point, and I think this is important, is that if they do exist, it would seem a lot of work in physics, such as time irreversibility and conservation of information, are no longer coherent.