One service mathematics has rendered the Ht moi, ...- Ii javait so comment en revenir, je ny _ais point aile: human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf neJll to the dusty canister labelled discarded non- The series is diwrgent; therefore we may be sense . - ble to do something with it. Eric T. Bell O. H eniside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, alI 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 dt!tre of this series.