pdf, that gets into the issue of ignorance priors which is a whole bagful o’ worms in its own right. I tend to believe that we should choose more fundamental and earlier elements of a causal model. The factory was probably built by someone who had in mind a box of a particular volume, and so that, in the real world, is probably the earliest element of the causal model we should be ignorant about. If the factory poofed into existence as a random collection of machinery that happened to manufacture cubic boxes, it would be appropriate to be ignorant about the side length.
pdf, that gets into the issue of ignorance priors which is a whole bagful o’ worms in its own right. I tend to believe that we should choose more fundamental and earlier elements of a causal model. The factory was probably built by someone who had in mind a box of a particular volume, and so that, in the real world, is probably the earliest element of the causal model we should be ignorant about. If the factory poofed into existence as a random collection of machinery that happened to manufacture cubic boxes, it would be appropriate to be ignorant about the side length.