"Et moi, ...- si javait su comment en revenir. One service mathematics has rendered the je ny serais poin t aile. human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled discarded non- The series is divergent; therefore we may be sense. able to do something with it. Eric T. Bell O. H ea viside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: One service. topology has rendered mathematical physics .. .:: One service logic has rendered com- puter science .. .; One service category theory has rendered mathematics .. .. All arguably true. And all statements obtainable this way form part of the raison d e1: re of this series.