Can anything in math ultimately be analysed into symbols, equations, formulas, with as exeption perhaps the Euclidean geometry we know with triangles,straight lines etc? Can also proofs, definitions and theorems be analysed in this way? for example, when we say function, continuous, matrix, tensor, metric tensor, continous, symmetric, integrable, bounded all these words can be translated into symbols and formulas.
Can this be done with anything in math except Euclidean geometry and use anything in terms of symbols and formulas when reading and proving and understanding in math? Do mathematicians do this when reading , proving and understanding math?
Should i try to translate any words in math into symbols and formulas? Does this help? Thank you.