Mathematical method, as it applies in the natural sciences in particular, consists of solving a given problem (represented by a number of observed or
observable data) by neglecting so many of the details (these are afterward termed "irrelevant") that the remaining part fits into an axiomatically
established model. Each model carries a theory, describing the implicit features of the model and its relations to other models. The role of the mathematician (in this oversimplified description of our culture) is to maintain and extend the knowledge about the models and to create new models on demand.