That’s not how people usually use these terms. The uncertainty about a state of the coin after the toss is describable within the framework of possible worlds just as uncertainty about a future coin toss, but uncertainty about a digit of pi—isn’t.
Oops, that’s my bad for not double-checking the definitions before I wrote that comment. I think the distinction I was getting at was more like known unknowns vs unknown unknowns, which isn’t relevant in platonic-ideal probability experiments like the ones we’re discussing here, but is useful in real-world situations where you can look for more information to improve your model.
Now that I’m cleared up on the definitions, I do agree that there doesn’t really seem to be a difference between physical and logical uncertainty.
Oops, that’s my bad for not double-checking the definitions before I wrote that comment. I think the distinction I was getting at was more like known unknowns vs unknown unknowns, which isn’t relevant in platonic-ideal probability experiments like the ones we’re discussing here, but is useful in real-world situations where you can look for more information to improve your model.
Now that I’m cleared up on the definitions, I do agree that there doesn’t really seem to be a difference between physical and logical uncertainty.