Totally. Everyone that says "I hate maths" would shit their pants at how much they loved math if it didn't hurt their feelings and they could see it's raw power

Totally. Everyone that says "I hate maths" would shit their pants at how much they loved math if it didn't hurt their feelings and they could see it's raw power. It's not deep part of your mental model if you have to Google for it. Though sometimes just having an awareness of something so that you can recognize this is a situation where it's useful and now is when you should Google for it is useful. Learning shit deeply is such a game changer. There is no substitute.