No, it's not. The argument rests on the fact that it can't be solely discrete across the entire system. The discrete information needs to "come-together" in a non-discrete way, e.g. something like quantum coherence. This is the binding-problem in a nutshell.
All quanta arise from the wave-equations and can be modeled with continuous mathematics.
> The argument rests on the fact that it can't be solely discrete across the entire system. The discrete information needs to "come-together" in a non-discrete way, e.g. something like quantum coherence.
That's just conjecture though. There's no real evidence that a system of discrete components can't work together to create a single unified system. Stating that they can't with no evidence is an a priori conclusion.
All quanta arise from the wave-equations and can be modeled with continuous mathematics.