The cool thing (perhaps the only cool thing) about the way we teach physics in chronological order is that students can get a sense of what "not a law yet" feel

The cool thing (perhaps the only cool thing) about the way we teach physics in chronological order is that students can get a sense of what "not a law yet" feels like. I remember being totally puzzled by the third law, and how it feels less like a law and more like playing against an opponent. Then of course you learn the general principles, and eventually about symmetry, though there's certainly more to go. You get a similar thing in math, when you really feel like something is impossible but you've only been able to rule out examples for other reasons. It's frustrating but fun, like you're getting close.