A service that mathematics has provided is 'And me, .... if I had known how to return, I would not have gone: humanity.' It has brought common sense back to where it belongs, on the top shelf next to Jules Verne, next to the dusty container labeled 'discarded nonsense.' The series is divergent; therefore, we could do something with it. Eric T. Bell and O. Heaviside. Mathematics is a tool for thinking. An extremely necessary tool in a world where both feedback and nonlinearities are abundant. Likewise, all kinds of branches of mathematics serve as tools for other branches and for other sciences. When a simple rewriting rule is applied to the quote above, one finds statements like: 'A service that topology has provided for mathematical physics ...'; 'A service that logic has provided for computer science ...'; 'A service that category theory has provided for mathematics ...'. All of them are indeed true. And all statements have been preserved.