Limits of Mathematics - Math vs. Reality

We must accept as a necessity that economy is mainly a subject of human interactions and with this it is clearly a part of social and cultural science which (actually) tries to use math tools to build prediction and equilibrium models (of uncertain events). This certain trait of economics, being a social and cultural science, makes it difficult to have a “healthy” match to mathematics since mathematics is an exact science based on logic with its needed axioms, definitions and theorems. This is the reason why mathematics as an exact science is just not able to comprise the full extent of the social and cultural behaviour of human interactions.