It is always believed that mathematics has final proof for everything. Physicians usually make the term for a factual description to be mathematical-logical derivation and it is considered to be completely a truthful statement.
Mathematics also has natural limitations, the concepts of physics have its origin with mathematically proven theory of cosmos, which direct towards quantum theory. There are direct-indirect concepts involved in theoretical models, which are based on the things beyond sensory perception. The planetary system theories are logical, but some of them have abstract views. Physics have different proofs for the same, but these don’t exactly give a mathematical proof for the things happening in the universe.
This website is going through some light on every sphere of mathematics.