Applying Veronese's theory to time entails the existence of both infinitesimally small and infinitely large durations. This alone can be a rich source of riddles and paradoxes, especially when one attempts to reconcile it with human consciousness.
As an example, let's assume that Achilles shoots an arrow whose velocity is infinitesimally small. Will it ever reach its (standing) target? Algebraically, yes, in an actual infinite amount of time. But what does it really mean? Will an immortal observer see it if they wait long enough?