The Bohmian Position in Classical Mechanics

I think there is one way of understanding Bohmian mechanics, which I like. This is very similar to teaching classical mechanics with this intuitionistic mathematics and say, oh, but I'm going to add that. And my hidden variables will simply be the standard real numbers. So I add all these digits that intuitionistic mathematics says are not yet determined. They are clearly hidden. But if you postulate that it exists, then suddenly it is indeterministic classical mechanics become determable. Like postulating this Bohmian position turns standard quantum mechanics into a deterministics.