As a property of the coin and the flip and the environment and the laws of physics, the probability of heads is either 0 or 1. Just because you haven’t computed it doesn’t mean the answer becomes a superposition of what you might compute, or something.
What you want is something like the result of taking a natural generalization of the exact situation—if the universe is continuous and the system is chaotic enough “round to some precision” works—and then computing the answer in this parameterized space of situations, and then averaging over the parameter.
The problem is that “natural generalization” is pretty hard to define.
As a property of the coin and the flip and the environment and the laws of physics, the probability of heads is either 0 or 1. Just because you haven’t computed it doesn’t mean the answer becomes a superposition of what you might compute, or something.
What you want is something like the result of taking a natural generalization of the exact situation—if the universe is continuous and the system is chaotic enough “round to some precision” works—and then computing the answer in this parameterized space of situations, and then averaging over the parameter.
The problem is that “natural generalization” is pretty hard to define.