Yeah, I mean math and even science aren't always intuitive, so we have to have rules and theories to go by that demonstrate repeatability. Subatomic physics doesn't even really work like our models say, it's just that the models give the best results in predicting what we'll find.

Another example is randomness. Not all random numbers are the same, it depends on how you derive them as to what you'll get. I guess in some way that's related to what numbers will pop up for an irrational number. It's said with enough monkeys randomly typing on typewriters eventually you'll get a Shakespeare work. It already happened a number of times... since we're in sense monkeys and got a number of Shakespeare works. Didn't even need typewriters.