I think most people you ask will say that on a measurement-level QM is a probability theory, despite as you said the deterministic nature of the wavefunctions themselves. They will say these probabilities are irreducible.

Could this be true? Sure. But i also think that's it's a bit naive to completely rule out an underlying deterministic nature to measurements, at least in our current point in time/knowledge with many aspects of physics being unsolved. Just to be clear, we could be talking about something too complex for us humans to even begin to understand, ie. chaos functions. But like chaos functions, there is determinism, whether we understand it or not.

Anyway i don't think that wavefunctions being deterministic necessarily means measurement has to be. I think it's interesting that wavefunctions are deterministic but measurement isn't, but i don't know if it prohibits measurement from being purely probabilistic in nature.

I think most people you ask will say that on a measurement-level QM is a probability theory, despite as you said the deterministic nature of the wavefunctions themselves. They will say these probabilities are irreducible.

Could this be true? Sure. But i also think that's it's a bit naive to completely rule out an underlying deterministic nature, at least at our current point in time/knowledge with many aspects of physics being unsolved. Just to be clear, we could be talking about something too complex for us humans to even begin to understand, ie. chaos functions. But like chaos functions, there is determinism, whether we understand it or not.

Anyway i don't think that wavefunctions being deterministic necessarily means measurement has to be. I think it's interesting that wavefunctions are deterministic but measurement isn't, but i don't know if it prohibits measurement from being probabilistic.

I think most people you ask will say that on a measurement-level QM is a probability theory, despite as you said the deterministic nature of the wavefunctions themselves. They will say even with omnipotent knowledge of the universe and it's entire past, we cannot determine whether the particle will be measured at point A or point B.

Could this be true? Sure. But i also think that's it's a bit naive to completely rule out an underlying deterministic nature to measurements, especially with many parts of physics being unsolved. Just to be clear, we could be talking about something too complex for us humans to even begin to understand, ie. chaos functions. But like chaos functions, there is determinism, whether we understand it or not.

Anyway i don't think that wavefunctions being deterministic necessarily means measurement has to be. I think it's interesting that wavefunctions are deterministic but measurement isn't, but i don't know if it prohibits measurement from being purely probabilistic in nature.

I think most people you ask will say that on a measurement-level QM is a probability theory, despite as you said the deterministic nature of the wavefunctions themselves. They will say these probabilities are irreducible.

Could this be true? Sure. But i also think that's it's a bit naive to completely rule out an underlying deterministic nature to measurements, at least in our current point in time/knowledge with many aspects of physics being unsolved. Just to be clear, we could be talking about something too complex for us humans to even begin to understand, ie. chaos functions. But like chaos functions, there is determinism, whether we understand it or not.

Anyway i don't think that wavefunctions being deterministic necessarily means measurement has to be. I think it's interesting that wavefunctions are deterministic but measurement isn't, but i don't know if it prohibits measurement from being purely probabilistic in nature.