I can say all I want just by having a prior over states of the world with all its ravens
No, you can’t. Not in practice.
It’s the same deal as with AIXI—quite omnipotent in theory, can’t do much of anything in reality. Take a real-life problem and show me your prior over all the states of the world.
All priors are over the state of the world, just coarse-grained :-) So any practical application of Bayesian statistics should suffice for your request.
So any practical application of Bayesian statistics should suffice for your request.
Any practical application does not give me an opportunity to “say all I want just by having a prior over states of the world” because it doesn’t involve such a prior. A practical application sets out a model with some parameters and invites me to specify (preferably in a neat analytical form) the prior for these parameters.
No, you can’t. Not in practice.
It’s the same deal as with AIXI—quite omnipotent in theory, can’t do much of anything in reality. Take a real-life problem and show me your prior over all the states of the world.
All priors are over the state of the world, just coarse-grained :-) So any practical application of Bayesian statistics should suffice for your request.
Any practical application does not give me an opportunity to “say all I want just by having a prior over states of the world” because it doesn’t involve such a prior. A practical application sets out a model with some parameters and invites me to specify (preferably in a neat analytical form) the prior for these parameters.