Mathematics is based on some basic assumptions, such as the special continuity axiom of Dai Dejin's mathematical analysis and the three axioms of Euclidean geometry. Then, on the basis of these axiomatic assumptions, some theorems are deduced by logic.
Therefore, mathematics cannot deduce paradox not because it is completely complete and self-evident, but because you choose to believe that axiom is correct, and you can deduce paradox according to the same axiom. If you don't believe in axioms, then the foundation of mathematics doesn't exist, which is also a paradox in some form.
Philosophy seems to be discussing the correctness of these axioms or assumptions, such as materialism and idealism, which is right? It seems right, it seems wrong, and the final result of the discussion seems to be faith.