I’m objecting to the further implication that doing this makes it not a Bayes net.
I mean, white horses are not horses, right? [Example non-troll interpretations of that are “the set ‘horses’ only contains horses, not sets” and “the two sets ‘white horses’ and ‘horses’ are distinct.” An example interpretation that is false is “for all members X of the set ‘white horses’, X is not a member of the set ‘horses’.”]
To be clear, I don’t think it’s all that important to use influence diagrams instead of causal diagrams for decision problems, but I do think it’s useful to have distinct and precise concepts (such that if it even becomes important to separate the two, we can).
What is it that you want out of them being Bayes nets?
I mean, white horses are not horses, right? [Example non-troll interpretations of that are “the set ‘horses’ only contains horses, not sets” and “the two sets ‘white horses’ and ‘horses’ are distinct.” An example interpretation that is false is “for all members X of the set ‘white horses’, X is not a member of the set ‘horses’.”]
To be clear, I don’t think it’s all that important to use influence diagrams instead of causal diagrams for decision problems, but I do think it’s useful to have distinct and precise concepts (such that if it even becomes important to separate the two, we can).
What is it that you want out of them being Bayes nets?