In some but not all imaginable Truly Stochastic worlds, perhaps it’s like the probability distribution of the whole state of the universe, but OP’s intuition-pumping example seems to be imagining a case where A is some small bit of the universe.
Oops, I guess I missed this part when reading your comment. No, I meant for A to refer to the whole configuration of the universe.
But it’s a generic type; A could be anything. I had the functional programming mindset where it was to be expected that the Distribution type would be composed into more complex distributions.
Oops, I guess I missed this part when reading your comment. No, I meant for A to refer to the whole configuration of the universe.
Then it seems unfortunate that you illustrated it with a single example, in which A was a single (uniformly distributed) number between 0 and 1.
But it’s a generic type; A could be anything. I had the functional programming mindset where it was to be expected that the Distribution type would be composed into more complex distributions.