[P]robability seems like it’s correctly applied to die rolling.
Dice roles are deterministic. Given the initial orientation, the mass and elasticity of the dice, the position, velocity, and angular momentum it is released with (which themselves are deterministic), and the surface it is rolled on, it is possible in principal to deduce what the result will be. (Quantum effects will be negligible, the classical approximation is valid in this domain. Imagine the dice is thrown by mechanical device if you are worried this does not apply to the nervous system of the dice roller.)
The probability does not describe randomness in the dice, because the dice is not random. The probability describes your ignorance of the relevant factors and your lack of logical omniscience to compute the result from those factors.
If you reject this argument in the case of dice rolling, how do you accept it (or what alternative do you use) in other cases of probability representing uncertainty?
Dice roles are deterministic. Given the initial orientation, the mass and elasticity of the dice, the position, velocity, and angular momentum it is released with (which themselves are deterministic), and the surface it is rolled on, it is possible in principal to deduce what the result will be. (Quantum effects will be negligible, the classical approximation is valid in this domain. Imagine the dice is thrown by mechanical device if you are worried this does not apply to the nervous system of the dice roller.)
The probability does not describe randomness in the dice, because the dice is not random. The probability describes your ignorance of the relevant factors and your lack of logical omniscience to compute the result from those factors.
If you reject this argument in the case of dice rolling, how do you accept it (or what alternative do you use) in other cases of probability representing uncertainty?