Selected Works of A.N. Kolmogorov

lEt moi •...• si j'avait so comment en revenir, One service mathematics has rendered the je n'y serais point alle:' human race. It has put common sense back Ju1e. Veme where it belongs, 01\ the topmost shelf next to the dUlty canister labelled 'discarded non- Tbe series is divergent; therefore we may be sense'. able to do something with it. Erie T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple reweiting 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'tftre of this series.