Arguments for discrete time The following temporal duration, A, has an exact length of 3. Proof:
A: "one..........two...........three"
Now does it make sense to dispute this, by arguing that I could have counted the same interval twice as fast?
For mustn't any supposedly 'counterfactual' argument refer to a newly constructed interval, B, and not to the past interval A that no longer exists and therefore cannot itself be re-measured?
B: "one,two,three,four,five,six"
If one accepts the counterfactual argument that A might have been counted differently, then one is led to ask how fast the same interval could have been counted, which leads to the further question as to whether there is a limit. In which case the above statement of A isn't a definition of A but merely one of many possible descriptions of A, namely that it just so happened to begin and end when I was counting.
On the other hand, if one rejects the counterfactual argument then A has an exact length of 3 by definition, and there is nothing more to be said about it.