This is like Functional programming , and people have a very hard time with it. Instead of passing around numbers "95% true" or whatever, we're passing around function "It's 2x as likely as you though it was, please insert your own prior and update", but even worse, it's "please apply this complicated curve function at whatever value you chose for your prior". It's just too hard for people to manage. Computers can do it (but it's hard for them too, very computationally intensive), and you have to really trust your computer program to be working properly (and you have to put your ego in the incinerator!) to hand over your decision-making to the computer.
I question whether computers can do it at all in useful practice.
Take a look at the results quoted in https://en.wikipedia.org/wiki/Bayesian_network#Inference_com... about how updating a Bayesian net is an NP hard problem, and even an approximation algorithm that gets the probability right to within 0.5 more than 0.5 of the time is NP-hard.
