I want to expand my understanding of physics and just watched a Feynman lecture where he said "every theoretical physicist who is any good knows six or seven different theoretical representations for exactly the same physics".
Trying to think of such different representations, I can see mechanics which can be approached from Newton's laws or the Lagrangian way. For gravity there would be the classical gravitation law and the general relativity way. But that's about where it ends for me. What other alternative ways of looking at physics are there?