I think it's much more interesting to live not knowing than to have answers which might be wrong.

Science is a way for us to not fool ourselves.

To do any important work in physics a very good mathematical ability and aptitude are required. Some work in applications can be done without this, but it will not be very inspired. If you must satisfy your "personal curiosity concerning the mysteries of nature" what will happen if these mysteries turn out to be laws expressed in mathematical terms (as they do turn out to be)? You cannot understand the physical world in any deep or satisfying way without using mathematical reasoning with facility.

Work as hard and as much as you want to on the things you like to do the best.

Don't think about what you want to be, but what you want to do. Keep up some kind of a minimum with other things so that society doesn't stop you from doing anything at all.

Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.

Philosophy of science is about as useful to scientists as ornithology is to birds.