>And then, if I pick any oracle at random, then isn't there an infinitesimal (yet non-zero) chance I could pick one which has a special structure which makes th

>And then, if I pick any oracle at random, then isn't there an infinitesimal (yet non-zero) chance I could pick one which has a special structure which makes their result false? No, the probability is zero. Which, note, does not mean it's impossible. That's a common misunderstanding of probabilities. E.g., if space is infinitely divisible, then for any particular point on a dartboard, the odds you'll hit that point are 0, and yet this doesn't imply it's impossible to hit the dartboard