I do not need to study anything to observe that gravity exists. Science is making itself important to create authorities. Mathematics is the only science that is really useful/proven.
Oh but Physics is mother of all sciences, mathematics is like the language
Physics is based on Mathematics. How can physics be the mother if it depends on mathematics? Language are letters and words which describe mathematics.
Child needs mother to be born. Nature doesnt need physics. Mathematics doesnt need physics. Physics needs both of them to exist. There you see who is the mother and who is the child.