In my opinion, the basic object of natural science research is the "nature" (life, universe, everything) on which we live, which is fixed and unique at present. In order to explore this fixed and unique "nature", we have developed many natural sciences. Because of the fixed research object, all kinds of hypotheses and conjectures put forward by us in science will be classified as "true" or "false" because of their similarity with "nature".

The foundation of mathematical research is axiomatic system. Different axiomatic systems are like different "properties". As long as this system is compatible (there is no self-contradiction), then this system is in the same position as other systems, and there is no distinction between authenticity and falsehood. People can put forward their own axiomatic system at will. As long as compatibility is guaranteed, people can get many propositions from this system. The wrong proposition in a certain system is likely to become correct because of the change of axioms, just as relativity is correct in the universe we live in, but it is likely to be wrong in another universe.